Uncertain Dynamical Systems: Stability and Motion Control
Autor A.A. Martynyuk, Yu. A. Martynyuk-Chernienkoen Limba Engleză Hardback – 28 noi 2011
- 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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Specificații
ISBN-13: 9781439876855
ISBN-10: 1439876851
Pagini: 310
Ilustrații: Illustrations
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.54 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
ISBN-10: 1439876851
Pagini: 310
Ilustrații: Illustrations
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.54 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Public țintă
Academic and Professional Practice & DevelopmentCuprins
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.
Descriere
A concise review of current research developments, 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.