Abstract:

The mixed memory and memoryless guaranteed cost controller design problems for a class of uncertain neutral systems with time-varying delays and nonlinearity are  discussed. A sufficient condition for the existence of unperturbed systems is given in terms of linear matrix inequalitis(LMIs). Based on this  sufficient condition,the corresponding results of systems with uncertainties are obtained. All the results can be handled by Matlab／LMI toolbox. Finally, a numerical example is illustrated to show the feasiblity of the obtained results.

Key words: uncertain neutral system; nonlinearity; time delay; guarantee cost controller; linear matrix inequality(LMI)