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Daixi Liao,Shouming Zhong,Jinnan Luo,Xiaojun Zhang,Yongbin Yu,Qishui Zhong 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.9
This paper is concerned with stability criteria of networked control system with two additive time-varying delay components. Firstly, by separating the whole delay interval into subintervals and using a new inequality in combination with convex polyhedron method, a less conservative criterion is proposed and an approach of stabilization controller design is given based on the obtained criterion. Secondly, a congruent condition and an extended condition with the same allowable delay upper bound are respectively deduced by using two different inequalities. Finally, some numerical examples are presented to illustrate the effectiveness of the obtained method.
Delay-dependent Stabilization for Stochastic Delayed Fuzzy Systems with Impulsive Effects
Jun Yang,Shouming Zhong,Wenpin Luo,Guihua Li 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.1
This paper investigates the problem of stabilization for a class of stochastic delayed Takagi-Sugeno (T-S) fuzzy systems with impulsive effects. The time delay is assumed to appear both in the state and control input. The purpose is design of a state-feedback fuzzy controller such that the resulting closed-loop system is exponentially stable in the mean square. By means of Lyapunov-Krasovskii functional, the relaxed LMI approach and mathematical analysis technique, delay-dependent sufficient conditions for solvability of this problem are obtained in terms of linear matrix inequalities (LMIs). Finally, a simulation example is given to demonstrate effectiveness and applicability of the theoretical results.
Qianhua Fu,Jingye Cai,Shouming Zhong,Yongbin Yu 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.1
This paper investigates the exponential and asymptotical synchronization of stochastic memristor-basedneural networks (SMNNs) with time-varying delays via pinning impulsive control. A novel type of pinning impulsivecontrollers is introduced to synchronize the master system and slave system. Based on the physical propertiesof memristor, the mathematical model of SMNNs is obtained by the theories of drive-response concept, set-valuedmaps and stochastic differential inclusions. Then some sufficient verifiable conditions are constructed for the synchronizationof SMNNs by applying the Lyapunov-Krasovskii functional (LKF) method. Furthermore, some improvementsabout the proposed control method are also discussed in this paper. Finally, numerical examples arepresented to demonstrate the effectiveness of the theoretical results.
Yuanhua Du,Wu Wen,Shouming Zhong,Nan Zhou 제어·로봇·시스템학회 2016 International Journal of Control, Automation, and Vol.14 No.4
This paper considers the problem of exponential stability of uncertain cellular neural networks withdiscrete and distribute time-varying delays. Some new delay-dependent stability condition are derived in terms oflinear matrix inequality. We divide delay interval into multiple segments and employ the free-weighting matricesmethod to obtained some less conservative criteria. Finally, numerical examples are given to demonstrate theeffectiveness and less conservativeness of the proposed methods.
Finite-time Boundness of H∞ Filtering for Switching Discrete-Time Systems
Jun Cheng,Hong Zhu,Shouming Zhong,Yu-Ping Zhang 제어·로봇·시스템학회 2012 International Journal of Control, Automation, and Vol.10 No.6
For switched discrete-time systems, switching behavior always affect the finite-time stability property, which was neglected by most previous research. This paper investigated the problem of finite-time boundness of H∞ filtering for switched discrete-time systems. Sufficient conditions which can ensure finite-time bounded and H∞ filtering finite-time boundness under arbitrary switching are derived. Based on the results of finite-time boundness and stochastic character, the closed-loop system trajectory stays within a prescribed bound. An example is given to illustrate the efficiency of the proposed method.
Huilan Yang,Lan Shu,Shouming Zhong,Tao Zhan,Xin Wang 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.10
In this paper, we deal with the exponential pinning synchronization (PS) of stochastic T-S fuzzy delayed complex dynamical networks (FDCDNs) with heterogeneous impulsive delays. Unlike the existing works, a fuzzy memory pinning impulsive control (FMPIC) approach is proposed. In order to conquer the difficulties of studying such a general system, sufficient conditions that depend on the discrete-delay and distributed-delay impulsive effects are obtained by employing the Lyapunov function, inequality techniques and stochastic analysis theory. It is shownthat the PS of FDCDNs can be achieved under the designed FMPIC. Numerical simulation on the basis of BA scale-free coupled network is used to illustrate the effectiveness of the theoretical results.
Robust Stabilization of Memristor-based Coupled Neural Networks with Time-varying Delays
Qianhua Fu,Jingye Cai,Shouming Zhong 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.10
The robust stabilization problem of memristor-based coupled neural networks (MNNs) is addressed in this paper. Firstly, the fuzzy model of MNNs is obtained by considering the properties of memristor and corresponding circuit, some predictable assumptions on the boundedness and Lipschitz continuity of activation functions are formulated. Secondly, based on T-S fuzzy theory and Lyapunov-Krasovskii functional method, robust stabilization criteria are derived in form of linear matrix inequalities (LMIs). Finally a numerical example is presented to demonstrate the effectiveness of the proposed robust stabilization criteria, which well supports theoretical results.
Robust H_∞ DOF Control for Uncertain T-S Fuzzy Neutral Systems
Wenpin Luo,Jun Yang,Li Xiang,Shouming Zhong 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.3
This paper investigates the problem of robust H_∞ dynamic output-feedback (DOF) control for a class of uncertain T-S fuzzy neutral systems with linear fractional parametric uncertainties. The aim is to design a full-order fuzzy DOF controller that ensures asymptotic stability of the closed-loop system and guarantees a prescribed H_∞ performance level on disturbance attenuation for all admissible uncertainties. Based on the Lyapunov-Krasoviskii functional and the Barbalat lemma, delay-dependent sufficient conditions for the solvability of this problem are presented in terms of LMIs. Finally, a simulation example is provided to demonstrate the effectiveness and applicability of the proposed method.
Zhang, Ruimei,Zeng, Deqiang,Park, Ju H.,Zhong, Shouming,Yu, Yongbin Elsevier 2018 Journal of the Franklin Institute Vol.355 No.5
<P><B>Abstract</B></P> <P>This paper investigates the exponential synchronization problem of memristive recurrent neural networks (MRNNs) with heterogeneous time-varying delays (HTVDs). First, a novel discontinuous feedback control is designed, in which a tunable scalar is introduced. The tunable scalar makes the controller more flexible in reducing the upper bound of the control gain. Based on this control scheme, the double integral term can be successfully used to construct the LKF. Second, New method for tackling memristive synaptic weights and new estimation technique are presented. Third, based on the LKF and estimation technique, synchronization criterion is derived. In comparison with existing results, the established criterion is less conservatism thanks to the double integral term of the LKF. Finally, numerical simulations are presented to validate the effectiveness and advantages of the proposed results.</P>
Zhang, Ruimei,Zeng, Deqiang,Park, Ju H.,Liu, Yajuan,Zhong, Shouming IEEE 2018 IEEE transactions on systems, man, and cybernetics Vol.48 No.12
<P>In this paper, the problem of nonfragile sampled-data synchronization of delayed complex dynamical networks with randomly occurring controller gain fluctuations (ROCGFs) is studied. First, more applicable nonfragile memory sampled-data controllers are designed, which involve the signal transmission delay and ROCGFs. The controller gain fluctuations appear in a random way, which obey certain Bernoulli distributed white noise sequences. Second, a modified piecewise Lyapunov–Krasovskii functional (LKF), which involves cubic sawtooth structure term, is constructed for the first time. Third, based on the LKF, less conservative synchronization criteria are established. In comparison with the existing results, the constraint condition of the positive definition of the LKF is less restrictive, since it does not need to be positive definite for all time, but is only required to be positive definite at sampling times. Finally, the effectiveness and advantages of the obtained results are illustrated by two numerical examples.</P>