Abstract
The advent of computer-controlled embedded systems coupled to physical environments requires the development of new theories of dynamic system modeling, specification and verification. We present Timed ∀-automata, a generalization of ∀-automata [10], for the specification and verification of dynamic systems that can be discrete, continuous or hybrid. Timed ∀-automata are finite state and serve as a formal requirements specification language for dynamic systems so that (1) timed as well as temporal properties can be specified or recognized, and (2) global properties of either discrete or continuous behaviors can be characterized. In addition, we propose a formal model-checking method for behavior verification of dynamic systems. This method generalizes stability analysis of dynamic systems and can be completely automated for discrete-time finite-domain systems.
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