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BIBO Stability of Switched Uncertain Neutral Control System
Lianglin Xiong,Jinzhong Cui,Mao Ye 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.4
This paper is concerned with the problem of bounded input bounded output (BIBO) stability for a class of switched uncertain neutral system. The uncertainty is assumed to be of structured linear fractional from which includes the norm-bounded uncertainty as a special case. Firstly, by introducing the general variation-of-constants formula of neutral systems with perturbation, the BIBO stability property of general switched neutral systems with perturbation are established, which conquer the dif-ficulties caused by the interaction between the switching rules and time delay. Subsequently, combined with the general variation-of-constants formula with stated-dependent switching scheme, the sufficient conditions of the BIBO stability are obtained in terms of the so-called Lyapunov-Metzler linear matrix inequalities (LMIs). Finally, the simulation examples are given to demonstrate the effectiveness and the potential of the proposed techniques in this paper.
Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique
Yefan Wu,Lianglin Xiong,Guisheng Zhai,Tao Wu 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.4
The master-slave synchronization (MSS) issue of chaotic Lur’e systems (LSs) with time-varying delay (TVD) is explored in this work by means of feedback control. After taking the nonlinear function into full consideration, a creative Lyapunov-Krasovskii functional (LKF) is attained. Then novel criteria which ensure the synchronization of the studied systems are obtained with the aid of the improved inequality technique and the reciprocally convex combination method to cope with the derivative of LKF. The effectiveness and virtues of the synchronization conditions are testified via the notable Chua’s circuit in three different cases.
Haiyang Zhang,Lianglin Xiong,Qing Miao,Yanmeng Wang 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
This article addressed the problem of delay-dependent stability criteria for linear time system with interval time-delay. Firstly, we proposed a new inequality based on the Fourier Theory, more precisely on theWirtingers inequalities, which is proved to encompass the Jensens inequality. Secondly, a less conservative stability condition is established in terms of linear matrix inequalities by employing delay-partition idea and Lyapunov functional method. Finally, in order to illustrate the potential gain of employing this new inequality with respect to the Jensens one and the effectiveness of the proposed results,an application to time-delay analysis is provided.
New Stochastic Stability Criteria for Nonlinear Neutral Markovian Jump Systems
Hongmei Zhang,Jinde Cao,Lianglin Xiong 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.3
This paper address the stochastic stability of neutral markovian jumping systems with nonlinear perturbations. By constructing novel Lyapunov functionals which contain an augmented Lyapunov functional, andcombining with the new inequalities, new delay-dependent stochastic stability criteria for the nominal systems areobtained. The asymptotically stable condition is a special case for the stochastic stability condition as the systemswithout markovian jump. Numerical examples show that the derived conditions are much less conservative thanthose given in the existing literature.