Efficient Verification of a Class of Linear Hybrid Automata Using Linear Programming

In this paper, we show that for a class of linear hybrid automata called zero loop-closed automata, the satisfaction problem for linear duration properties can be solved efficiently by linear programming. We give an algorithm based on depth-first search method to solve the problem by traversing all the simple paths (with no repeated node occurrence) in an automaton and checking their corresponding sequences of locations for a given linear duration property.