Robust Stability of Uncertain Discrete Systems with Time-varying Delay
نویسندگان
چکیده
Robust stability is considered for uncertain discrete-time systems with time-varying delays from given intervals. A new construction of Lyapunov-Krasovskii functions (LKFs), which has been recently introduced in the continuous case, is applied: to a nominal LKF, which is appropriate to the system with nominal delays, terms are added that correspond to the system with the perturbed delays and that vanish when the delay perturbations approach 0. The nominal LKF is chosen in two forms: the descriptor type and the ’exact’ one. The delay-independent result is derived via Razumikhin approach. The advantage of the new tests is demonstrated via illustrative examples. Copyright C 2005 IFAC
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