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.
Contents:
- 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 Inequalities
Readership: Applied and pure mathematicians, engineers, physicists and economists.
