Dissipativity of hybrid systems: Feedback interconnections and networks

摘要

This paper focuses on the notions of QSR dissipativity and passivity in hybrid systems. The work presented in this paper can mainly be divided into two parts- (i) feedback and parallel interconnections and, (ii) networks. First, it is shown that the negative feedback interconnection of two QSR dissipative hybrid systems is QSR dissipative. Also, passivity is preserved when passive hybrid systems are connected in parallel. It is also shown that QSR dissipativity and hence passivity are closely related to the stability of hybrid systems. In the second part of this work, passivity of networked hybrid input-output automata, in presence of network delays is studied. The issues of both the constant and time varying delays is addressed using a wave variable transform based approach.