On the Existence of Solutions to Controlled Hybrid Automata

This paper studies the existence of solutions to a class of hybrid automata in which the underlying continuous dynamics are represented by inhomogeneous linear time-invariant systems whose inputs are controls that can be determined by the user. The principal result of the paper is a procedure that searches for global periodic non-terminating solutions of systems having a single cycle.

• Type: Conference
• Year: 2000
• Where: HYBRID
• Authors: Michael D. Lemmon
• Keywords: Control Systems, HYBRID 2000, Hybrid Automata, Linear Time-invariant Systems, Periodic Non-terminating Solutions