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Books on the topic 'Linear singular systems'

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Author: Grafiati

Published: 7 July 2024

Last updated: 7 July 2024

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1

Dai, L. Singular control systems. Berlin: Springer-Verlag, 1989.

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2

Jurdjevic, Velimir. Linear systems with singular quadratic cost. Toronto: Dept. of Mathematics, University of Toronto, 1990.

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3

Aganović, Zijad. Linear optimal control of bilinear systems: With applications to singular perturbations and weak coupling. Berlin: Springer, 1995.

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4

Aganović, Zijad, and Zoran Gajić, eds. Linear Optimal Control of Bilinear Systems with Applications to Singular Perturbations and Weak Coupling. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/3-540-19976-4.

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5

Glizer, Valery Y. Controllability of Singularly Perturbed Linear Time Delay Systems. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-65951-6.

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6

Gajić, Zoran, Djordjija Petkovski, and Xuemin Shen, eds. Singularly Perturbed and Weakly Coupled Linear Control Systems. Berlin/Heidelberg: Springer-Verlag, 1990. http://dx.doi.org/10.1007/bfb0005209.

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7

Gajić, Zoran. Singularly perturbed and weakly coupled linear control systems: A recursive approach. Berlin: Springer-Verlag, 1990.

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8

Gajic, Zoran. Optimal control of singularly perturbed linear systems and applications: High-accuracy techniques. New York: Marcel Dekker, 2001.

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9

Simon, Barry. Harmonic analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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10

Boukas, El-Kébir. Control of Singular Systems with Random Abrupt Changes. Springer London, Limited, 2008.

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11

Boukas, El-Kébir. Control of Singular Systems with Random Abrupt Changes. Springer, 2010.

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12

Control Of Singular Systems With Random Abrupt Changes. Springer, 2008.

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13

Lukas, Andre. The Oxford Linear Algebra for Scientists. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198844914.001.0001.

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Abstract This book provides a introduction into linear algebra which covers the mathematical set-up as well as applications to science. After the introductory material on sets, functions, groups and fields, the basic features of vector spaces are developed, including linear independence, bases, dimension, vector subspaces and linear maps. Practical methods for calculating with dot, cross and triple products are introduced early on. The theory of linear maps and their relation to matrices is developed in detail, culminating in the rank theorem. Algorithmic methods bases on row reduction and determinants are discussed an applied to computing the rank and the inverse of matrices and to solve systems of linear equations. Eigenvalues and eigenvectors and the application to diagonalising linear maps, as well as scalar products and unitary linear maps are covered in detail. Advanced topics included are the Jordon normal form, normal linear maps, the singular value decomposition, bi-linear and sesqui-linear forms, duality and tensors. The book also included short expositions of diverse scientific applications of linear algebra, including to internet search, classical mechanics, graph theory, cryptography, coding theory, data compression, special relativity, quantum mechanics and quantum computing.

14

Glizer, Valery Y. Controllability of Singularly Perturbed Linear Time Delay Systems. Springer International Publishing AG, 2022.

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15

Glizer, Valery Y. Controllability of Singularly Perturbed Linear Time Delay Systems. Springer International Publishing AG, 2021.

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16

Gajic, Zoran. Optimal Control of Singularly Perturbed Linear Systems and Applications. Taylor & Francis Group, 2001.

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17

Gajic, Zoran. Optimal Control of Singularly Perturbed Linear Systems and Applications. Taylor & Francis Group, 2001.

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18

Optimal Control of Singularly Peturbed Linear Systems and Applications. New York: Marcel Dekker, Inc., 2003.

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19

Gajic, Zoran. Optimal Control of Singularly Perturbed Linear Systems and Applications. Taylor & Francis Group, 2001.

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20

Gajic, Zoran. Optimal Control of Singularly Perturbed Linear Systems and Applications. Taylor & Francis Group, 2001.

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21

Gajic, Zoran. Optimal Control of Singularly Perturbed Linear Systems and Applications. Taylor & Francis Group, 2001.

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22

Shen, Xuemin, Zoran Gajic, and Djordjija Petkovski. Singularly Perturbed and Weakly Coupled Linear Control Systems: A Recursive Approach. Springer, 2014.

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23

Shen, Xuemin, Zoran Gajic, and Djordjija Petkovski. Singularly Perturbed and Weakly Coupled Linear Control Systems: A Recursive Approach. Springer, 1990.

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24

Huffaker, Ray, Marco Bittelli, and Rodolfo Rosa. Entropy and Surrogate Testing. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782933.003.0005.

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Reconstructing real-world system dynamics from time series data on a single variable is challenging because real-world data often exhibit a highly volatile and irregular appearance potentially driven by several diverse factors. NLTS methods help eliminate less likely drivers of dynamic irregularity. We set a benchmark for regular behavior by investigating how linear systems of ODEs are restricted to exponential and periodic dynamics, and illustrating how irregular behavior can arise if regular linear dynamics are corrupted with noise or shift over time (i.e., nonstationarity). We investigate how data can be pre-processed to control for the noise and nonstationarity potentially camouflaging nonlinear deterministic drivers of observed complexity. We can apply signal-detection methods, such as Singular Spectrum Analysis (SSA), to separate signal from noise in the data, and test the signal for nonstationarity potentially corrected with SSA. SSA measures signal strength which provides a useful initial indicator of whether we should continue searching for endogenous nonlinear drivers of complexity. We begin diagnosing deterministic structure in an isolated signal by attempting to reconstructed a shadow attractor. Finally, we use the classic Lorenz equations to illustrate how a deterministic nonlinear system of ODEs with at least three equations can generate observed irregular dynamics endogenously without aid of exogenous shocks or nonstationary dynamics.

25

Gajic, Zoran. Optimal Control of Singularly Perturbed Linear Systems and Applications (Control Engineering, Number 7). CRC, 2001.

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26

Gajic, Z., D. Petkovski, and X. Shen. Singularly Perturbed and Weakly Coupled Linear Control Systems: A Recursive Approach (Lecture Notes in Control and Information Sciences). Springer, 1990.

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27

Loporcaro, Michele. Romance gender systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199656547.003.0004.

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After showing that, for purposes of reconstruction, the dataset must be limited to non-creolized Romance varieties, the chapter discusses the notion ‘remnants of the neuter’, showing that this label covers disparate things, and that what is in focus here is morphosyntactically functional remnants, i.e. traces of a third (controller and/or target) gender. These are then inventoried, showing that almost all Romance languages preserve a third series of targets (in pronouns) for agreement with non-nominal controllers, and Sursilvan has this also on predicative adjectives. Furthermore, Romanian and many Italo-Romance dialects still have a third controller gender, and a subset of the latter even has an additional target gender, with dedicated agreement forms for either (in just one Calabrian dialect) the neuter plural or (in most dialects between the Roma–Ancona line and a line crossing central Puglia and northern Lucania) a neuter hosting just mass nouns (and hence, only singular).

28

Albares Vicente, Paz. Integrability, rational solitons and symmetries for nonlinear systems in Biology and Materials Physics. Ediciones Universidad de Salamanca, 2022. http://dx.doi.org/10.14201/0vi0453.

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Los sistemas no lineales constituyen un tema de investigación de creciente interés en las últimas décadas dada su versatilidad en la descripción de fenómenos físicos en diversos campos de estudio. Generalmente, dichos fenómenos vienen modelizados por ecuaciones diferenciales no lineales, cuya estructura matemática ha demostrado ser sumamente rica, aunque de gran complejidad respecto a su análisis. Dentro del conjunto de los sistemas no lineales, cabe destacar un reducido grupo, pero a la vez selecto, que se distingue por las propiedades extraordinarias que presenta: los denominados sistemas integrables. La presente tesis doctoral se centra en el estudio de algunas de las propiedades más relevantes observadas para los sistemas integrables. En esta tesis se pretende proporcionar un marco teórico unificado que permita abordar ecuaciones diferenciales no lineales que potencialmente puedan ser consideradas como integrables. En particular, el análisis de integralidad de dichas ecuaciones se realiza a través de técnicas basadas en la Propiedad de Painlevé, en combinación con la subsiguiente búsqueda de los problemas espectrales asociados y la identificación de soluciones analíticas de naturaleza solitónica. El método de la variedad singular junto con las transformaciones de auto-Bäcklund y de Darboux jugarán un papel fundamental en este estudio. Además, también se lleva a cabo un análisis complementario basado en las simetrías de Lie y reducciones de similaridad, que nos permitirán estudiar desde esta nueva perspectiva los problemas espectrales asociados. Partiendo de la archiconocida ecuación de Schrödinger no lineal, se han investigado diferentes generalizaciones integrables con numerosas aplicaciones en diversos campos científicos, como la Física Matemática, Física de Materiales o Biología.