New Bounds for Robust Stability of Continuous and Discrete-Time Systems under Parametric Uncertainty

I. K. Konstantopoulos and P. J. Antsaklis

Kybernetika, vol. 31, no. 6, pp. 623-636, November 1995.

Abstract -- New conditions for robust stability in linear continuous and discrete-time systems are derived, when all matrices of the state-space model are perturbed by uncertain parameters and static output feedback is applied. Also, new conditions for robust stability in linear discrete-time systems with both unstructured and structured perturbations in the system matrix $A$ are derived. The analysis is based on the direct method of Lyapunov and several examples are used to illustrate the results.

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