Bull. Math. Soc. Sci. Math. Roumanie

Aurelian Cernea: On stability for differential inclusions on closed domains, p. 23-29

Abstract:

We consider a Lipschitzian differential inclusion with the state variable constrained to the closure of an open set $\Theta \subset R^n$ and we prove that the existence of suitable Lyapunov functions is necessary for uniform stability.

Key Words: Differential inclusions, stability, state constraints, Lyapunov function.

2000 Mathematics Subject Classification: Primary: 34A60.