On Verification and Parameter Design in Hybrid Automaton Using Invariant



Invariants for hybrid automata are determined from predicates that are constant for every reachable state in the automata. These invariants can be used to verify a given specification by exploiting their characteristics. In this paper, a switched system driven by discrete inputs is used as an example of a hybrid dynamical system. For the system, we propose a verification method for a given specification based on the concept of invariants and a design policy of parameters with which the given specification is satisfied. Some numerical and experimental results are provided to show the validity of the proposed method. Copyright © 2009 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.