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Robust stability and control for uncertain neutral time delay systems. (English) Zbl 1256.93081
Summary: In this article, the problem of robust stability and stabilization for a class of uncertain neutral systems with discrete and distributed time delays is considered. By utilizing a new Lyapunov functional based on the idea of delay partitioning approach, we employ the linear matrix inequality technique to derive delay-dependent criteria which ensures the robust stability of uncertain neutral systems. The obtained stability conditions are formulated in terms of linear matrix inequalities that can easily be solved by using standard software packages. Further, the result is extended to study the robust stabilization for uncertain neutral systems with parameter uncertainties. A state feedback controller is proposed to guarantee the robust asymptotic stabilization for uncertain systems and the controller is constructed in terms of the solution to a set of matrix inequalities. Finally, numerical examples are presented to illustrate the effectiveness and conservatism of the obtained results. It is shown that the results developed in this article can tolerate larger allowable delay than some existing works in the literature. Further, it is proved that the proposed criterion is also computationally less conservative than existing criteria.

93D09Robust stability of control systems
93B52Feedback control
34K40Neutral functional-differential equations
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