Stability criteria for uncertain piecewise affine time-delay systems

The stability problem for piecewise affine time-delay systems with norm-bounded uncertainty is studied in this paper. Sufficient stability conditions are derived using the Lyapunov-Krasovskii functional with a triple integration term. This approach handles switching based on the delayed states (in addition to the states) for a PWA time-delay system, and reduces the conservativeness of previous approaches. The effectiveness of the proposed approach is demonstrated by comparison with existing methods through numerical examples.