Abstract
The robust stability analysis for discrete large-scale uncertain systems with multiple time delays is addressed in this paper. We establish a method for selecting properly a positive definite matrix Q to derive a very simple upper solution bound of the discrete algebraic Lyapunov equation (DALE). Then, using the Lyapunov equation approach method with this upper bound, several sufficient conditions are presented to guarantee the robust stability of the overall systems. Comparisons between the proposed results with a previous one are also given.
Highlights
It is known that the system is called an interval system and can be considered as a system with parametric perturbations when matrices of a state equation are interval matrix
The robust stability analysis for discrete large-scale uncertain systems with multiple time delays is addressed in this paper
We establish a method for selecting properly a positive definite matrix Q to derive a very simple upper solution bound of the discrete algebraic Lyapunov equation (DALE)
Summary
It is known that the system is called an interval system and can be considered as a system with parametric perturbations when matrices of a state equation are interval matrix. The robust stability analysis for discrete large-scale uncertain systems with multiple time delays is addressed in this paper. Using the Lyapunov equation approach method with this upper bound, several sufficient conditions are presented to guarantee the robust stability of the overall systems. The robust stability testing problem for discrete large-scale interval time-delay systems is discussed.
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