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Method of variation of parameters for dynamic systems / V. Lakshmikantham and S.G. Deo.

By: Lakshmikantham, V, 1926-.
Contributor(s): Deo, Sadashiv G, 1933- [author.].
Material type: materialTypeLabelBookPublisher: [London] : Routledge, 2019Edition: First edition.Description: 1 online resource (328 pages).Content type: text Media type: computer Carrier type: online resourceISBN: 9780203747452; 0203747453; 9781351431941; 1351431943; 9781351431965; 135143196X; 9781351431958; 1351431951.Subject(s): MATHEMATICS / Differential Equations | MATHEMATICS / General | Differential equations | Control theory | Lyapunov functions | System analysisDDC classification: 515.35 Online resources: Taylor & Francis | OCLC metadata license agreement
Contents:
Preface, 1. Ordinary Differential Equations, 2. Integrodifferential Equations, 3. Differential Equations with Delay, 4. Difference Equations, 5. Abstract Differential Equations, 6. Impulsive Differential Equations, 7. Stochastic Differential Equations, 8. Miscellaneous Equations, Bibliography, Index
Summary: Method of Variation of Parameters for Dynamic Systems presents a systematic and unified theory of the development of the theory of the method of variation of parameters, its unification with Lyapunov's method and typical applications of these methods. No other attempt has been made to bring all the available literature into one volume. This book is a clear exposition of this important topic in control theory, which is not covered by any other text. Such an exposition finally enables the comparison and contrast of the theory and the applications, thus facilitating further development in this fascinating field.
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Preface, 1. Ordinary Differential Equations, 2. Integrodifferential Equations, 3. Differential Equations with Delay, 4. Difference Equations, 5. Abstract Differential Equations, 6. Impulsive Differential Equations, 7. Stochastic Differential Equations, 8. Miscellaneous Equations, Bibliography, Index

Method of Variation of Parameters for Dynamic Systems presents a systematic and unified theory of the development of the theory of the method of variation of parameters, its unification with Lyapunov's method and typical applications of these methods. No other attempt has been made to bring all the available literature into one volume. This book is a clear exposition of this important topic in control theory, which is not covered by any other text. Such an exposition finally enables the comparison and contrast of the theory and the applications, thus facilitating further development in this fascinating field.

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