含离散与分布时滞的不确定中立型系统鲁棒稳定性新-控制理论与应用.PDF

27 11 Vol. 27 No. 11 2010 11 Control Theory Applications Nov. 2010 :2010 , , ( , 710025) : , Lyapunov-KrasovskiiJensen, (LMI). , . , . . : Lyapunov-Krasovskii; ; ; ; Jensen : TP13 : A New robust stability criteria for uncertain neutral-type systems with discrete and distributed delay LI Tao, ZHANG He-xin, SUN Peng (Department of Automation, Second Artillery Engineering College, Xi’an Shaanxi 710025, China) Abstract: Being inspired by the idea of discrete time-delay decomposition, we formulate a new delay-dependent robust stability criterion in terms of linear matrix inequalities (LMIs) for the uncertain neutral-type systems with discrete and distributed time-delay. It is derived by constructing a new kind of Lyapunov-Krasovskii functional and combining the Jensen inequality technology. Time-varying uncertainties are allowed in the coefficient matrix of the neutral time-delay system, which improves the robust performance of the system. To deal with the difficulties in handling the distributed time- delay, we develop a decomposed functional for its calculation. Numerical examples show the effectiveness and reduced conservatism of the proposed design method . Key words: Lyapunov-Krasovskii functional; delay decomposition; robust stability; linear matrix inequality; Jensen inequality 1 (Introduction) , . [6,7] , . , . . , , (MAUB) ( .