On practical stability of differential inclusions using Lyapunov functions

Volodymyr Pichkur
2017 Discrete and continuous dynamical systems. Series B  
In this paper we consider the problem of practical stability for differential inclusions. We prove the necessary and sufficient conditions using Lyapunov functions. Then we solve the practical stability problem of linear differential inclusion with ellipsoidal righthand part and ellipsoidal initial data set. In the last section we apply the main result of this paper to the problem of practical stabilization.
doi:10.3934/dcdsb.2017116 fatcat:4tt7cj73nvbidnyryfni2nyegi