Practical Stability of Nonlinear Systems

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 Equationsintegro-differential Equationsimpulsive Differential Equationsmethod Of Lyapunov Functions:basic Comparison Theoremsperturbing Lyapunov Functionsglobal Results In Terms Of Setsstability Criteria In Terms Of Setsperturbed Systems:stability Of Perturbed Systemsa Technique In Perturbation Theoryreaction Diffusion Equationscontrol Systems:controllable Systemsdecentralized Controloptimal Controlsetvalued Differential Inequalities Readership: Applied And Pure Mathematicians, Engineers, Physicists And Economists. Keywords:practical Stability;lyapunov Stability;weaker Concepts Of Stability;controllable Systems;set-valued Differential Inequalities;optimal Controllability;large Scale Dynamic Systems;global Results In Terms Of Sets;vector Lyapunov Functions