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1

Shang, Lina, Pinqi H. Xia, and Dewey H. Hodges. "Aeroelastic Response Analysis of Composite Blades Based on Geometrically Exact Beam Theory." Journal of the American Helicopter Society 64, no. 2 (April 1, 2019): 1–14. http://dx.doi.org/10.4050/jahs.64.022007.

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The geometrically exact nonlinear beam theory consisting of the latest version of two-dimensional variational asymptotic beam sectional analysis (VABS) and one-dimensional geometrically exact beam theory (GEBT) has been widely used for the structural analysis of composite beam structures. The theory can be used for establishing the aeroelastic model of composite blades undergoing large deflections to improve computational accuracy and efficiency. In this paper, the theory has been extended from structural analysis to aeroelastic analysis of blade, and an accurate and efficient method for aeroelastic response analysis of composite blades has been presented based on the theory and unsteady aerodynamic model. The geometrically exact nonlinear equations of motion and the latest VABS are used to deal with one-dimensional beam analysis and the structural property of blade cross section, respectively. The Peters–He finite state dynamic wake model and the Peters finite state airloads theory are used to calculate the induced velocity and blade airloads, respectively. The presented method has been used to analyze the aeroelastic responses of composite blades, and its accuracy has been verified by experimental data. The influence of transverse shear deformation on the aeroelastic response of composite blades was also investigated, indicating that the transverse shear deformation has a nonnegligible effect on aeroelastic response analysis of hingeless composite rotors in hover.
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2

KIM, KYUNG-SEOK, IN-GYU LIM, IN LEE, and JAE-HAN YOO. "FLUID-STRUCTURE INTERACTION ANALYSIS OF A HIGH-ASPECT-RATIO WING CONSIDERING STRUCTURAL NONLINEARITY." Modern Physics Letters B 23, no. 03 (January 30, 2009): 445–48. http://dx.doi.org/10.1142/s0217984909018618.

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In this research, fluid-structure interaction problem including geometric structural nonlinearity is studied for a high-aspect-ratio wing. When a high-aspect-ratio wing structure is interacted with external airload, geometric structural nonlinearity can be caused by large deflection of a wing. For the investigation of such a fluid-structure interaction problem, the transonic small disturbance theory for the aerodynamic analysis and the large deflection beam theory for the structural analysis are used, respectively. For the coupling between fluid and structure, the transformation of a displacement from the structural mesh to the aerodynamic grid is performed by a shape function which is used for the finite element and the inverse transformation of force by work equivalent load method. Static deformations in the vertical and twist deflections caused by gravity loading are compared with experimental results. Also, static aeroelastic analysis results are compared with experimental data. From the analysis results, effects of structural nonlinearity on static aeroelastic characteristics are investigated.
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3

Zadeh, L. A. "Stochastic finite-state systems in control theory." Information Sciences 251 (December 2013): 1–9. http://dx.doi.org/10.1016/j.ins.2013.06.039.

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4

CALUDE, CRISTIAN S., KAI SALOMAA, and TANIA K. ROBLOT. "STATE-SIZE HIERARCHY FOR FINITE-STATE COMPLEXITY." International Journal of Foundations of Computer Science 23, no. 01 (January 2012): 37–50. http://dx.doi.org/10.1142/s0129054112400035.

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Finite-state complexity is a variant of algorithmic information theory obtained by replacing Turing machines with finite transducers. We consider the number of states needed for transducers used in minimal descriptions of arbitrary strings and, as our main result, show that the state-size hierarchy with respect to a standard encoding is infinite. We consider corresponding hierarchies yielded by more general computable encodings and establish that for a suitably chosen computable encoding every level of the state-size hierarchy can be strict.
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5

Ahmad, I., and M. K. Dhodhi. "State assignment of finite-state machines." IEE Proceedings - Computers and Digital Techniques 147, no. 1 (2000): 15. http://dx.doi.org/10.1049/ip-cdt:20000163.

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6

Giammarresi, Dora, and Antonio Restivo. "TWO-DIMENSIONAL FINITE STATE RECOGNIZABILITY." Fundamenta Informaticae 25, no. 3,4 (1996): 399–422. http://dx.doi.org/10.3233/fi-1996-253411.

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7

Jeanloz, Raymond. "Shock wave equation of state and finite strain theory." Journal of Geophysical Research 94, B5 (1989): 5873. http://dx.doi.org/10.1029/jb094ib05p05873.

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8

Stefanucci, G., and S. Kurth. "Steady-State Density Functional Theory for Finite Bias Conductances." Nano Letters 15, no. 12 (November 20, 2015): 8020–25. http://dx.doi.org/10.1021/acs.nanolett.5b03294.

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9

Krishnamoorthy, M. S., James R. Loy, and John F. McDonald. "Optimal Differential Routing based on Finite State Machine Theory." VLSI Design 9, no. 2 (January 1, 1999): 105–17. http://dx.doi.org/10.1155/1999/83648.

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Noise margins in high speed digital systems continue to erode. Full differential signal routing provides a mechanism for deferring these effects. This paper proposes a three stage routing process for solving the adjacent placement routing problem of differential signal pairs, and proves that it is optimal. The process views differential pairs as logical nets; routes the logical nets; then bifurcates the result to achieve a physical realization. Finite state machine theory provides the critical theoretical underpinning and formal proof of correctness necessary for linear time bifurcation. Regular expressions map the theoretical solution to an appropriate implementation strategy that employs feature vectors for net recognition.
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10

Hao, Yiding. "Finite-state Optimality Theory: non-rationality of Harmonic Serialism." Journal of Language Modelling 7, no. 2 (September 16, 2019): 49. http://dx.doi.org/10.15398/jlm.v7i2.210.

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11

Birget, Jean-Camille. "State-complexity of finite-state devices, state compressibility and incompressibility." Mathematical Systems Theory 26, no. 3 (September 1993): 237–69. http://dx.doi.org/10.1007/bf01371727.

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12

Juba, Brendan. "On learning finite-state quantum sources." Quantum Information and Computation 12, no. 1&2 (January 2012): 105–18. http://dx.doi.org/10.26421/qic12.1-2-7.

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We examine the complexity of learning the distributions produced by finite-state quantum sources. We show how prior techniques for learning hidden Markov models can be adapted to the {\em quantum generator} model to find that the analogous state of affairs holds: information-theoretically, a polynomial number of samples suffice to approximately identify the distribution, but computationally, the problem is as hard as learning parities with noise, a notorious open question in computational learning theory.
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13

Oliynyk, A. S. "Finite state wreath powers of transformation semigroups." Semigroup Forum 82, no. 3 (January 14, 2011): 423–36. http://dx.doi.org/10.1007/s00233-011-9292-z.

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14

Lucas, Simon M., and T. Jeff Reynolds. "Learning Finite-State Transducers: Evolution Versus Heuristic State Merging." IEEE Transactions on Evolutionary Computation 11, no. 3 (June 2007): 308–25. http://dx.doi.org/10.1109/tevc.2006.880329.

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15

Yue, Jumei, Yongyi Yan, Zengqiang Chen, and He Deng. "State space optimization of finite state machines from the viewpoint of control theory." Frontiers of Information Technology & Electronic Engineering 22, no. 12 (October 23, 2021): 1598–609. http://dx.doi.org/10.1631/fitee.2000608.

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16

Calude, Cristian S., Ludwig Staiger, and Frank Stephan. "Finite state incompressible infinite sequences." Information and Computation 247 (April 2016): 23–36. http://dx.doi.org/10.1016/j.ic.2015.11.003.

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17

Podlovchenko, R. I. "Finite state automata in the theory of algebraic program schemata." Proceedings of the Institute for System Programming of the RAS 27, no. 2 (2015): 161–72. http://dx.doi.org/10.15514/ispras-2015-27(2)-10.

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18

Cohen, Samuel N., and Robert J. Elliott. "A general theory of finite state Backward Stochastic Difference Equations." Stochastic Processes and their Applications 120, no. 4 (April 2010): 442–66. http://dx.doi.org/10.1016/j.spa.2010.01.004.

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19

Hayashi, Masahito. "Asymptotic estimation theory for a finite-dimensional pure state model." Journal of Physics A: Mathematical and General 31, no. 20 (May 22, 1998): 4633–55. http://dx.doi.org/10.1088/0305-4470/31/20/006.

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20

Hayashi, M. "Asymptotic estimation theory for a finite-dimensional pure state model." Journal of Physics A: Mathematical and General 31, no. 41 (October 16, 1998): 8405. http://dx.doi.org/10.1088/0305-4470/31/41/015.

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21

Chattopadhyay, S., and P. N. Reddy. "Finite state machine state assignment targeting low power consumption." IEE Proceedings - Computers and Digital Techniques 151, no. 1 (2004): 61. http://dx.doi.org/10.1049/ip-cdt:20030980.

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22

Alfaro, Ricardo. "State spaces, finite algebras, and skew group rings." Journal of Algebra 139, no. 1 (May 1991): 134–54. http://dx.doi.org/10.1016/0021-8693(91)90286-h.

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23

Nishiyama, Seiya. "Resonating Relativistic Mean Field Theory of Finite Nuclei." International Journal of Modern Physics E 07, no. 05 (October 1998): 601–24. http://dx.doi.org/10.1142/s0218301398000348.

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We develop a general theory based on relativistic fields to describe finite nuclei with large quantum fluctuations. The theory is a direct extension of the resonating Hartree-Fock (HF) and resonating Hartree-Bogoliubov (HB) theories to the relativistic mean field case including an effective nucleon mass and an effective potential mediated by mesons. We start from the Walecka model and construct coherent state representations of a system of nucleons described by Dirac spinors and of mesons described in terms of bosons. A state with large quantum fluctuations is approximated by superpositions of non-orthogonal nucleon and meson wave functions with different correlation structures. We derive the variational equations to determine the two kinds of coefficients of fermionic and bosonic configuration mixings and the two kinds of fermionic and bosonic orbitals in the resonating nucleon and meson wave functions.
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24

Doty, David, Jack H. Lutz, and Satyadev Nandakumar. "Finite-state dimension and real arithmetic." Information and Computation 205, no. 11 (November 2007): 1640–51. http://dx.doi.org/10.1016/j.ic.2007.05.003.

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25

Winter, Sarah, and Martin Zimmermann. "Finite-state strategies in delay games." Information and Computation 272 (June 2020): 104500. http://dx.doi.org/10.1016/j.ic.2019.104500.

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26

Almaini, A. E. A., J. F. Miller, P. Thomson, and S. Billina. "State assignment of finite state machines using a genetic algorithm." IEE Proceedings - Computers and Digital Techniques 142, no. 4 (1995): 279. http://dx.doi.org/10.1049/ip-cdt:19951885.

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27

Rasskazov, A. O., A. G. Bondar', V. I. Kosenko, and I. I. Sokolovskaya. "Refining the stress state of multilayer shells using finite-shear theory." Soviet Applied Mechanics 23, no. 4 (April 1987): 332–35. http://dx.doi.org/10.1007/bf00887202.

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28

Starinets, A. O., A. S. Vshivtsev, and V. Ch Zhukovskii. "Colour ferromagnetic state in SU (2) gauge theory at finite temperature." Physics Letters B 322, no. 4 (February 1994): 403–12. http://dx.doi.org/10.1016/0370-2693(94)91172-x.

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29

Álvarez, Nicolás, Verónica Becher, and Olivier Carton. "Finite-state independence and normal sequences." Journal of Computer and System Sciences 103 (August 2019): 1–17. http://dx.doi.org/10.1016/j.jcss.2019.02.001.

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30

Yannakakis, M., and D. Lee. "Testing Finite State Machines: Fault Detection." Journal of Computer and System Sciences 50, no. 2 (April 1995): 209–27. http://dx.doi.org/10.1006/jcss.1995.1019.

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31

Ahn, Soohan, J. Jeon, and V. Ramaswami. "Steady State Analysis of Finite Fluid Flow Models Using Finite QBDs." Queueing Systems 49, no. 3-4 (April 2005): 223–59. http://dx.doi.org/10.1007/s11134-005-6966-9.

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32

Goldberg, Robert R., and Jerry Waxman. "Parallel decision procedures for finite state automata." International Journal of Computer Mathematics 49, no. 1-2 (January 1993): 33–40. http://dx.doi.org/10.1080/00207169308804213.

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33

Vidal, E., F. Thollard, C. de la Higuera, F. Casacuberta, and R. C. Carrasco. "Probabilistic finite-state machines - part I." IEEE Transactions on Pattern Analysis and Machine Intelligence 27, no. 7 (July 2005): 1013–25. http://dx.doi.org/10.1109/tpami.2005.147.

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34

Vidal, E., F. Thollard, C. de la Higuera, F. Casacuberta, and R. C. Carrasco. "Probabilistic finite-state machines - part II." IEEE Transactions on Pattern Analysis and Machine Intelligence 27, no. 7 (July 2005): 1026–39. http://dx.doi.org/10.1109/tpami.2005.148.

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35

Siems, Tobias. "Markov Chain Monte Carlo on finite state spaces." Mathematical Gazette 104, no. 560 (June 18, 2020): 281–87. http://dx.doi.org/10.1017/mag.2020.51.

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We elaborate the idea behind Markov chain Monte Carlo (MCMC) methods in a mathematically coherent, yet simple and understandable way. To this end, we prove a pivotal convergence theorem for finite Markov chains and a minimal version of the Perron-Frobenius theorem. Subsequently, we briefly discuss two fundamental MCMC methods, the Gibbs and Metropolis-Hastings sampler. Only very basic knowledge about matrices, convergence of real sequences and probability theory is required.
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36

Fadiloglu, Mehmet Murat, and Sencer Yeralan. "A general theory on spectral properties of state-homogeneous finite-state quasi-birth–death processes." European Journal of Operational Research 128, no. 2 (January 2001): 402–17. http://dx.doi.org/10.1016/s0377-2217(99)00367-7.

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37

MENEZES, DÉBORA P., and C. PROVIDÊNCIA. "FINITE TEMPERATURE EQUATIONS OF STATE FOR MIXED STARS." International Journal of Modern Physics D 13, no. 07 (August 2004): 1249–53. http://dx.doi.org/10.1142/s0218271804005389.

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We investigate the properties of mixed stars formed by hadronic and quark matter in β-equilibrium described by appropriate equations of state (EOS) in the framework of relativistic mean-field theory. The calculations were performed for T=0 and for finite temperatures and also for fixed entropies with and without neutrino trapping in order to describe neutron and proto-neutron stars. The star properties are discussed. Maximum allowed masses for proto-neutron stars are much larger when neutrino trapping is imposed.
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38

Kuusilinna, K., T. Hämäläinen, J. Saarinen, and V. Lahtinen. "Finite state machine encoding for VHDL synthesis." IEE Proceedings - Computers and Digital Techniques 148, no. 1 (January 1, 2001): 23–30. http://dx.doi.org/10.1049/ip-cdt:20010210.

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39

XU, XUE-FEN, and HONG-YI FAN. "THERMO MINIMUM UNCERTAINTY STATE FOR FERMIONIC TFD THEORY." Modern Physics Letters A 22, no. 36 (November 30, 2007): 2757–62. http://dx.doi.org/10.1142/s0217732307022955.

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By analyzing the characters of Thermo Field Dynamics (TFD) that every annihilation operator f acting on real Hilbert space has an image [Formula: see text] acting on fictitious space we should choose [Formula: see text] and [Formula: see text], or their linear combination [Formula: see text], and [Formula: see text] for measuring Fermi field's fluctuation at finite temperature. As a consequence, the corresponding minimum uncertainty states are derived, which resembles the form of fermionic squeezed state. This work is the fermionic counterpart of Ref. 8 in which bosonic TFD's minimum uncertainty states are obtained.
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40

Nandakumar, Satyadev, and Santhosh Kumar Vangapelli. "Normality and Finite-State Dimension of Liouville Numbers." Theory of Computing Systems 58, no. 3 (June 8, 2014): 392–402. http://dx.doi.org/10.1007/s00224-014-9554-8.

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41

Liu, Weifeng, and Yudong Chi. "Resolvable Group State Estimation with Maneuver Based on Labeled RFS and Graph Theory." Sensors 19, no. 6 (March 15, 2019): 1307. http://dx.doi.org/10.3390/s19061307.

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In this paper, multiple resolvable group target tracking was considered in the frame of random finite sets. In particular, a group target model was introduced by combining graph theory with the labeled random finite sets (RFS). This accounted for dependence between group members. Simulations were presented to verify the proposed algorithm.
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42

Gao, Rui, Wen Song Hu, and Cheng Qiu Zhang. "Modeling and Analysis of Metabolism Process with Finite State Machine." Advanced Materials Research 424-425 (January 2012): 250–54. http://dx.doi.org/10.4028/www.scientific.net/amr.424-425.250.

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This paper extends our early study on discrete events system formulations of DNA hybridization, and focuses discussions on metabolism and gene mutation in Molecular Biology. Finite state machine (FSM) theory is extensively applied to represent key concepts and analyze the processes related to the biological phenomena mentioned above. The goal is to mathematically represent and interpret the process of metabolism and the effects to structures of protein macro molecule caused by gene mutation. We hope the proposed model will provide a foothold for introducing the information science and the control theory tools in Molecular Biology
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43

Shemesh, Y., and N. Francez. "Finite-State Unification Automata and Relational Languages." Information and Computation 114, no. 2 (November 1994): 192–213. http://dx.doi.org/10.1006/inco.1994.1085.

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44

Shing-Tsaan Huang and Tripathi. "Finite State Model and Compatibility Theory: New Analysis Tools for Permutation Networks." IEEE Transactions on Computers C-35, no. 7 (July 1986): 591–601. http://dx.doi.org/10.1109/tc.1986.1676800.

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45

MOHRI, MEHRYAR. "On some applications of finite-state automata theory to natural language processing." Natural Language Engineering 2, no. 1 (March 1996): 61–80. http://dx.doi.org/10.1017/s135132499600126x.

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We describe new applications of the theory of automata to natural language processing: the representation of very large scale dictionaries and the indexation of natural language texts. They are based on new algorithms that we introduce and describe in detail. In particular, we give pseudocodes for the determinisation of string to string transducers, the deterministic union of p-subsequential string to string transducers, and the indexation by automata. We report on several experiments illustrating the applications.
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46

Ndalichako, Joyce L., and W. Todd Rogers. "Comparison of Finite State Score Theory, Classical Test Theory, and Item Response Theory in Scoring Multiple-Choice Items." Educational and Psychological Measurement 57, no. 4 (August 1997): 580–89. http://dx.doi.org/10.1177/0013164497057004004.

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47

Hao, Yong-Sheng, Zhi-Gang Su, and Xiangyu Wang. "Finite-Time Output Feedback Control for a Rigid Hydraulic Manipulator System." Mathematical Problems in Engineering 2018 (July 10, 2018): 1–9. http://dx.doi.org/10.1155/2018/9316562.

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The position tracking control problem of a hydraulic manipulator system is investigated. By utilizing homogeneity theory, a finite-time output feedback controller is designed. Firstly, a finite-time state feedback controller is developed based on homogeneity theory. Secondly, a nonlinear state observer is designed to estimate the manipulator’s velocity. A rigorous analysis process is presented to demonstrate the observer’s finite-time stability. Finally, the corresponding output feedback tracking controller is derived, which stabilizes the tracking error system in finite time. Simulations demonstrate the effectiveness of the designed finite-time output feedback controller.
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48

O'Connor, Mary G. "An unpredictability approach to finite-state randomness." Journal of Computer and System Sciences 37, no. 3 (December 1988): 324–36. http://dx.doi.org/10.1016/0022-0000(88)90011-6.

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49

Wang, Qisheng, Junyi Liu, and Mingsheng Ying. "Equivalence checking of quantum finite-state machines." Journal of Computer and System Sciences 116 (March 2021): 1–21. http://dx.doi.org/10.1016/j.jcss.2020.08.004.

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50

GRUBER, HERMANN, and MARKUS HOLZER. "PROVABLY SHORTER REGULAR EXPRESSIONS FROM FINITE AUTOMATA." International Journal of Foundations of Computer Science 24, no. 08 (December 2013): 1255–79. http://dx.doi.org/10.1142/s0129054113500330.

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Based on recent results from extremal graph theory, we prove that every n-state binary deterministic finite automaton can be converted into an equivalent regular expression of size O(1.742n) using state elimination. Furthermore, we give improved upper bounds on the language operations intersection and interleaving on regular expressions.
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