On the feedback control of impulsive dynamic systems

An Euler solution concept and weak invariance conditions are presented for impulsive control systems. In this paper, we model impulsive systems by measure driven differential inclusions. The Euler solution is defined in the original time frame and does not require any reparameterization technique. As a consequence, we present a constructive result giving conditions for weak invariance. The proof of this result will provide a control synthesis in feedback form, which, in turn, will permit its implementation on-line.