This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays.Based on a novel difference inequality and a switched Lyapunov function,new delay-depen...This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays.Based on a novel difference inequality and a switched Lyapunov function,new delay-dependent stability criteria are formulated in terms of linear matrix inequalities (LMIs) which are not contained in known literature.A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort.展开更多
The dynamics of discrete time delayed Hopfield neural networks is investigated. By using a difference inequality combining with the linear matrix inequality, a sufficient condition ensuring global exponential stabilit...The dynamics of discrete time delayed Hopfield neural networks is investigated. By using a difference inequality combining with the linear matrix inequality, a sufficient condition ensuring global exponential stability of the unique equilibrium point of the networks is found. The result obtained holds not only for constant delay but also for time-varying delays.展开更多
Some new N-independent-variable discrete inequalities of Gronwall-On-fang type are established. Application examples to certain multivariate summary-difference equations are also sketched.
建立了一个二变量的和差分不等式,该不等式不仅右端和号外的项是非常数项,而且包含k项未知函数和非线性函数的复合函数;运用单调化技巧和强单调概念给出了不等式中未知函数的上界估计;所得结果可以用来估计Cheung W S(2006)和王五生(20...建立了一个二变量的和差分不等式,该不等式不仅右端和号外的项是非常数项,而且包含k项未知函数和非线性函数的复合函数;运用单调化技巧和强单调概念给出了不等式中未知函数的上界估计;所得结果可以用来估计Cheung W S(2006)和王五生(2008)所研究的不等式中的未知函数;最后,用研究不等式得到的结果研究二变量差分方程初边值问题的有界性、唯一性和连续依赖性.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 60736029)the Program for New Century Excellent Talents in University (Grant No. 06-0811)
文摘This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays.Based on a novel difference inequality and a switched Lyapunov function,new delay-dependent stability criteria are formulated in terms of linear matrix inequalities (LMIs) which are not contained in known literature.A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort.
基金Project supported by the Program for New Century Excellent Talents in University (Grant No NCET-06-0298)the Program for Liaoning Excellent Talents in University (Grant No RC-05-07)+1 种基金the Program for Study of Science of the Educational Department of Liaoning Province, China (Grant No 05L020)the Program for Dalian Science and Technology of China (Grant No2005A10GX106)
文摘The dynamics of discrete time delayed Hopfield neural networks is investigated. By using a difference inequality combining with the linear matrix inequality, a sufficient condition ensuring global exponential stability of the unique equilibrium point of the networks is found. The result obtained holds not only for constant delay but also for time-varying delays.
文摘Some new N-independent-variable discrete inequalities of Gronwall-On-fang type are established. Application examples to certain multivariate summary-difference equations are also sketched.
文摘建立了一个二变量的和差分不等式,该不等式不仅右端和号外的项是非常数项,而且包含k项未知函数和非线性函数的复合函数;运用单调化技巧和强单调概念给出了不等式中未知函数的上界估计;所得结果可以用来估计Cheung W S(2006)和王五生(2008)所研究的不等式中的未知函数;最后,用研究不等式得到的结果研究二变量差分方程初边值问题的有界性、唯一性和连续依赖性.