Lakshmikantham V., Leela S., Martynyuk A.A. Practical Stability of Nonlinear Systems

Singapore: World Scientific, 1990. - 212p.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 how this effective technique can be adapted to investigate various apparently diverse nonlinear problems including control systems and multivalued differential equations.What is Practical Stability?:
Delay Differential Equations
Integro-Differential Equations
Impulsive Differential Equations
Method of Lyapunov Functions:
Basic Comparison Theorems
Perturbing Lyapunov Functions
Global Results in Terms of Sets
Stability Criteria in Terms of Sets
Perturbed Systems:
Stability of Perturbed Systems
A Technique in Perturbation Theory
Reaction Diffusion Equations
Control Systems:
Controllable Systems
Decentralized Control
Optimal Control
Setvalued Differential InequalitiesReadership: Applied and pure mathematicians, engineers, physicists and economists.