Uncertain Dynamical Systems

Stability and Motion Control
1. Auflage 2019
ISBN: 978-0-367-38207-0
Verlag: Taylor & Francis Ltd (Sales)

Buch, Englisch, 310 Seiten, Format (B × H): 155 mm x 234 mm, Gewicht: 431 g

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.

Zielgruppe

Academic and Professional Practice & Development

Autoren/Hrsg.

Martynyuk, A a

Martynyuk-Chernienko, Yu A

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.

Über Autor(innen)

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