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On The Stability of Neutral-type Uncertain Systems With Multiple Time Delays

Liu P. L.

International Journal of Applied Mathematics and Computer Science

2005

Vol. 15, no 2

221-229

The problems of both single and multiple delays for neutral-type uncertain systems are considered. First, for single neutral time delay systems, based on a Razumikhin-type theorem, some delay-dependent stability criteria are derived in terms of the Lyapunov equation for various classes of model transformation and decomposition techniques. Second, robust control for neutral systems with multiple time delays is considered. Finally, we demonstrate numerical examples to illustrate the effectiveness of the proposed approaches. Compared with results existing in the literature, our methods are shown to be superior to them.

Delay-dependent Asymptotic Stabilitzation for Uncertain Time-delay Systems with Saturating Actuators

Liu P. L.

International Journal of Applied Mathematics and Computer Science

2005

Vol. 15, no 1

45-51

This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.