Invariant Sets of a Class of State-Reset Discrete-Time Systems and Networked Distributed Control

Abstract

We consider a class of discrete-time state-reset systems with a state-reset mechanism, where some elements of the state vector is reset to particular values when the elements exceeds a prescribed threshold. For the state-reset system we derive the state invariant set. Furthermore, as an example of state-reset systems, we also consider a network-type decentralized control system and show that the invariant set of the state estimation error exists.