A. A. Martynyuk, Yu. A. Martynyuk-Chernienko

Uncertain Dynamical Systems (eBook, ePUB)

Stability and Motion Control

• Format: ePub

Produktbeschreibung

This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the above-mentioned type of equations, along with some applications. Without assuming specific knowledge of uncertain dynamical systems, the book includes many fundamental facts about dynamical behaviour of its solutions. Giving a concise review of current research developments, Uncertain Dynamical Systems: Stability and Motion Control

• Details all proofs of stability conditions for five classes of uncertain systems
• Clearly defines all used notions of stability and control theory
• Contains an extensive bibliography, facilitating quick access to specific subject areas in each chapter

Requiring only a fundamental knowledge of general theory of differential equations and calculus, this book serves as an excellent text for pure and applied mathematicians, applied physicists, industrial engineers, operations researchers, and upper-level undergraduate and graduate students studying ordinary differential equations, impulse equations, dynamic equations on time scales, and set differential equations.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 28. November 2011
• Englisch
• ISBN-13: 9781040062029
• Artikelnr.: 72250171

Autorenporträt

Martynyuk, A.A.; Martynyuk-Chernienko, Yu. A.

Inhaltsangabe

Introduction. Lyapunov's Direct Method for Uncertain Systems. Stability of
Uncertain Controlled Systems. Stability of Quasilinear Uncertain Systems.
Stability of Large-Scale Uncertain Systems. Interval and Parametric
Stability of Uncertain Systems. Stability of Solutions of Uncertain
Impulsive Systems. Stability of Solutions of Uncertain Dynamic Equations on
a Time Scale. Singularly Perturbed Systems with Uncertain Structure.
Qualitative Analysis of Solutions of Set Differential Equations. Set
Differential Equations with a Robust Causal Operator. Stability of a Set of
Impulsive Equations. Comments and References.