New delay dependent stability criterion for linear system with time varying delay using Wirtinger's inequality

A new delay dependent stability criterion has been proposed based on wirtinger's inequality,for linear systems incorporating time varying delays. by use of wirtinger's inequality and suitably chosen lyapunov-krasovskii functional,the proposed result has been derived in terms of linear matrix inequalities (lmis). the application of the proposed stability criterion provides less conservative estimate of system stability in terms of improved allowable upper delay bounds. the efficacy and reduced conservatism of the proposed criterion has been investigated and has been shown superior to existing results.