Robust Stability Criteria for Uncertain Linear Systems with Time-Delay

Abstract

The paper is mainly concerned with the problem of robust stability criteria for uncertain linear systems with time-delay. New bounds on the unstructured and structured perturbations are presented so that the systems remain stable. Since no state transformation is required to compute these bounds, it is rather easy to determine stability robustness bounds. In addition, these bounds are further relaxed and the results obtained in this paper are also applicable to the systems including delay perturbations.
Some analytical methods are employed to investigate these bounds. An illustrative example is given to demonstrate that our approach is less conservative.