Uncertain Dynamical Systems: Stability and Motion Control

ISBN-13: 9780367382070 / Angielski / Miękka / 2019 / 310 str.

A. a. Martynyuk; Yu A. Martynyuk-Chernienko

Opis

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.

Spis treści

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.

O autorze

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