Front Cover; Contents; Preface; Acknowledgments; 1. Introduction; 2. Lyapunov's Direct Method for Uncertain Systems; 3. Stability of Uncertain Controlled Systems; 4. Stability of Quasilinear Uncertain Systems; 5. Stability of Large-Scale Uncertain Systems; 6. Interval and Parame…
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 chapte…
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 equ…
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 chapte…
A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some differential games this could be …
Ch. 1. What is practical stability? 1.0. Introduction. 1.1. Definitions of Lyapunov stability. 1.2. Definitions of practical stability. 1.3. Stability criteria. 1.4. Delay differential equations. 1.5. Integro-differential equations. 1.6. Difference equations. 1.7. Impulsive diff…
This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability in terms of two different measures and arbitrary sets and demonstrates the manifestations of general Lyapunov's method by showing h…
This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperb…
