Path-Dependent Impulse and Hybrid Systems

Path-dependent impulse differential inclusions, and in particular, path-dependent hybrid control systems, are defined by a path-dependent differential inclusion (or path-dependent control system, or differential inclusion and control systems with memory) and a pathdependent reset map. In this paper, we characterize the viability property of a closed subset of paths under an impulse path-dependent differential inclusion using the Viability Theorems for pathdependent differential inclusions. Actually, one of the characterizations of the Characterization Theorem is valid for any general impulse evolutionary system that we shall defined in this paper.

• Type: Conference
• Year: 2001
• Where: HYBRID
• Authors: Jean-Pierre Aubin, George Haddad
• Keywords: Control Systems, Differential Inclusions, HYBRID 2001, Path-dependent Differential Inclusion