This paper provides improved results on robust stability condition for interval time-delay systems.Based on au...
Yu Jianjiang1,2,Zhang Kanjian1,Fei Shumin1,Zhao Xianlin1 1.Key Laboratory of Measurement and Control of Complex Systems of Engineering,Ministry of Education,Nanjing 210096,P.R.China 2.School of Information Science and Technology,Yancheng Teachers University,Yancheng 224002,P.R.China
The problem of the stability for a class of stochastic systems with time-varying interval delay and the norm-bounded uncertainty is investigated. Utilizing the information of both the lower and the upper bounds of the interval time-varying delay, a novel Lyapunov-Krasovskii functional is constructed. The delay-dependent sufficient criteria are derived in terms of linear matrix inequalities （LMIs）, which can be easily checked by the LMI in the Matlab toolbox. Based on the Jensen integral inequality, neither model transformations nor bounding techniques for cross terms is employed, so the derived criteria are less conservative than the existing results. Meanwhile, the computational complexity of the obtained stability conditions is reduced because no redundant matrix is introduced. A numerical example is given to show the effectiveness and the benefits of the proposed method.
