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New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on sampled-data control via New Integral Inequality

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IEEE ACCESS 2021年 9卷 64958-64971页

作者： Hongsri, Arthit Botmart, Thongchai Weera, Wajaree Junsawang, Prem Khon Kaen Univ Fac Sci Dept Math Khon Kaen 40002 Thailand Univ Phayao Fac Sci Dept Math Phayao 56000 Thailand Khon Kaen Univ Fac Sci Dept Stat Khon Kaen 40002 Thailand

In this work, the issue of synchronization control for complex dynamical networks with time-varying coupling delay based on sampled-data is addressed. First, the sampled-data control is transformed into the bounded sampling period with time-varying delay. As a result, this model is converted to the investigation for synchronization of complex networks with multiple time-varying delays. Second, an appropriate Lyapunov-Krasovkii functional (LKF) is constructed, which composites of double and triple integral terms in quadratic form. Third, we propose a new integral inequality including a reciprocally convex technique which leads to a better condition. Fourth, the solution for the controller gain matrix is obtained by solving linear matrix inequalities (LMIs) with available software such that the synchronization error system is exponentially stable. Finally, the effectiveness and less conservatism of our proposed method are demonstrated via numerical examples.

关键词： Delays Synchronization Couplings Integral equations Symmetric matrices Linear matrix inequalities Stability criteria sampled-data control complex dynamical networks (CDNs) time-varying coupling delay delay-dependent criteria synchronization

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Robust synchronization of uncertain delayed neural networks with packet dropout using sampled-data control

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APPLIED INTELLIGENCE 2021年第12期51卷 9054-9065页

作者： Zhang, Ganlei Zhang, Jiayong Li, Wei Ge, Chao Liu, Yajuan North China Univ Sci & Technol Inst Artificial Intelligence Tangshan 063009 Peoples R China North China Univ Sci & Technol Inst Min Engn Tangshan 063009 Peoples R China North China Univ Sci & Technol Inst Elect Engn Tangshan 063009 Peoples R China North China Elect Power Univ Control & Comp Engn Beijing 102200 Peoples R China

Previous research for synchronization of neural networks have obtained some good results, but there are still some shortcomings in the research of uncertain delayed neural networks (DNN) with packet dropout. In this paper, we investigate the robust synchronization problem for uncertain neural networks with time-delay and packet dropout under sampled-data control (SDC). A neoteric time-delay Lyapunov-Krasovskii functional (TDLKF) with discrete and distributed delays is constructed by introducing some new constraints. With the help of the constructed TDLKF and the improved integral inequality, some stability criteria are derived to guarantee the error system synchronize exponentially when package dropout occurs randomly. The corresponding sampled-data controller can be acquired by solving a host of linear matrix inequalities (LMIs). Some numerical examples are used to illustrate the validity of the proposed method. The results show that the proposed method is an effective control strategy to solve the synchronization control problem of uncertain delayed neural networks with packet dropout.

关键词： Robust synchronization sampled-data control Uncertain neural networks Packet dropout

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Extended Dissipativity and Non-Fragile Synchronization for Recurrent Neural Networks With Multiple Time-Varying Delays via sampled-data control

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IEEE ACCESS 2021年 9卷 31454-31466页

作者： Anbuvithya, R. Sri, S. Dheepika Vadivel, R. Gunasekaran, Nallappan Hammachukiattikul, Porpattama Sri Sarada Coll Women Autonomous Dept Math Salem 636016 India Phuket Rajabhat Univ Fac Sci & Technol Dept Math Phuket 83000 Thailand Toyota Technol Inst Dept Adv Sci & Technol Computat Intelligence Lab Nagoya Aichi 4688511 Japan

This paper deals with the extended dissipativity and non-fragile synchronization of delayed recurrent neural networks (RNNs) with multiple time-varying delays and sampled-data control. A suitable Lyapunov-Krasovskii Functional (LKF) is built up to prove the quadratically stable and extended dissipativity condition of delayed RNNs using Jensen inequality and limited Bessel-Legendre inequality approaches. A non-fragile sampled-data approach is applied to investigate the problem of neural networks with multiple time-varying delays, which ensures that the master system synchronizes with the slave system and is designed with respect to the solutions of Linear Matrix Inequalities (LMIs). The effectiveness of the suggested approach is established by providing suitable simulations using MATLAB LMI control toolbox. Finally, numerical examples and comparative results are provided to illustrate the adequacy of the planned control scheme.

关键词： Delays Synchronization Linear matrix inequalities Symmetric matrices Recurrent neural networks Neurons Stability criteria Dissipative analysis multiple time-varying delay recurrent neural networks synchronization sampled-data control

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Regional stabilization of nonlinear sampled-data control systems: A quasi-LPV approach *

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EUROPEAN JOURNAL OF control 2021年 59卷 301-312页

作者： Palmeira, Alessandra H. K. Gomes da Silva Jr, Joao M. Flores, Jeferson, V Univ Fed Rio Grande do Sul UFRGS Sch Engn Porto Alegre RS Brazil

This paper addresses the asymptotic stabilization of a class of continuous-time nonlinear systems under a sampled-data control. The proposed approach is based on a quasi linear parameter varying (quasi-LPV) model for the nonlinear system and the use of a parameter dependent looped-functional to deal with the aperiodic sampling effects. Explicitly taking into account that the model parameters are functions of the state and therefore are bounded only in a given region of the state space, quasi-LMI conditions are proposed to compute a regional stabilizing nonlinear state feedback control law under aperiodic sampling. These conditions are then incorporated in convex optimization problems to compute the control law aiming at the maximization of an estimate of the region of attraction of the origin or the maximization of an upper bound on the intersampling time, with a guaranteed region of stability. (c) 2020 European control Association. Published by Elsevier Ltd. All rights reserved.

关键词： sampled-data control Quasi-LPV control Nonlinear systems Regional stability Linear matrix inequalities (LMI)

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State Estimation and Stabilization of Nonlinear Systems with sampled-data control and Uncertain Disturbances

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AUTOMATION AND REMOTE control 2021年第4期82卷 634-653页

作者： Malikov, A. I. Tupolev Kazan Natl Res Tech Univ Kazan 420111 Russia

We consider continuous-time sampled-data control systems with uncertain nonlinearities subject to bounded exogenous disturbances. Based on the method of quadratic Lyapunov functions, matrix comparison systems, and the technique of differential linear matrix inequalities, an approach is developed to problems of state estimation and rejection of initial deviations and uncertain disturbances using sampled-data state feedback. A method is proposed for the synthesis of a periodic and an aperiodic sampled-data control ensuring that the trajectories of the original system on a finite horizon lie in a given set under any disturbances bounded in the L-infinity-norm.

关键词： continuous system with Lipschitz nonlinearities uncertain disturbance state estimation sampled-data control differential linear matrix inequality

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Robust Adaptive sampled-data control Scheme for a Class of Uncertain Nonlinear Systems

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CIRCUITS SYSTEMS AND SIGNAL PROCESSING 2021年第5期40卷 2282-2301页

作者： Ghaffari, Valiollah Persian Gulf Univ Sch Engn Dept Elect Engn Bushehr Iran

In this paper, a simple robust adaptive sampled-data control law is addressed for a class of uncertain continuous-time systems. For achieving this goal, firstly, the regulation problem and H-infinity control designs would be formulated in the uncertain continuous-time systems via including a sampler and data-hold circuits. Then, a robust adaptive digital control law will be derived by using the discrete-time Lyapunov's stability theory. The results are numerically implemented in two nonlinear uncertain systems. The simulations show the effectiveness of the proposed robust adaptive digital control method compared with the other techniques.

关键词： Robust adaptive control sampled-data control Lyapunov's stability theory Uncertain nonlinear systems

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Time-variant Feedback Stabilization of Constrained Delayed Boolean Networks Under Nonuniform sampled-data control

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INTERNATIONAL JOURNAL OF control AUTOMATION AND SYSTEMS 2021年第5期19卷 1819-1827页

作者： Kong, Xiangshan Li, Haitao Shandong Normal Univ Sch Math & Stat Jinan 250014 Peoples R China

This paper investigates the time-variant state feedback stabilization of constrained delayed Boolean control networks under nonuniform sampled-data control. Firstly, using the augmented algebraic form of constrained delayed Boolean control networks, the constrained nonuniform sampled-data controllability matrix is constructed. Secondly, based on the controllability matrix, a necessary and sufficient condition is proposed for the nonuniform sampled-data reachability of constrained delayed Boolean control networks. Thirdly, by virtue of the nonuniform sampled-data reachability, a new procedure is established to design time-variant state feedback sampled-data stabilizers via reachable set approach. The obtained results are applied to the cell survival regulation of apoptosis networks.

关键词： Boolean network sampled-data control semi-tensor product of matrices stabilization time delay

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Stochastic Switched sampled-data control for Uncertain Fuzzy Systems with Packet Dropout

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INTERNATIONAL JOURNAL OF FUZZY SYSTEMS 2021年第1期23卷 145-157页

作者： Ge, Chao Yang, Liu Zhao, Zhiwei Zhang, Jiayong Liu, Yajuan North China Univ Sci & Technol Inst Elect Engn Tangshan 063009 Peoples R China Tangshan Coll Dept Comp Engn Tangshan 063009 Peoples R China North China Univ Sci & Technol Inst Min Engn Tangshan 063009 Peoples R China North China Elect Power Univ Sch Control & Comp Engn Beijing 102206 Peoples R China

This paper addresses the stability and stabilization problems of uncertain Takagi-Sugeno (T-S) fuzzy system with control packet dropout. The process of packet loss is proposed, which is modeled according to some white noise sequences of Bernoulli distribution. Then, under the zero-input strategy, a newly stochastic switched sampled-data controller is introduced. Based on the Lyapunov function method, a novel Lyapunov-Krasovskii (LKF) function is constructed via introducing a fuzzy membership functions (FMFs), which can use the information about the actual sampling pattern. Each term of the LKF need not be positive, but it needs to be positive at sampling instants. Using the reciprocally convex method and relaxed free-matrix-based (FMB) integral inequality, novel stabilization criteria are established to guarantee that the T-S fuzzy system is stochastic stable when the control packet dropout occurs in a random way. Based on the linear matrix inequalities (LMIs), a fuzzy controller design algorithm for sampled data is presented to obtain a larger sampling interval. Finally, two numerical examples are used to verify the effectiveness and advantages of the proposed method.

关键词： sampled-data control T-S fuzzy system Stochastic switched system Packet dropout

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Finite-Time Spatial sampled-data control for Reaction-Diffusion Systems

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CIRCUITS SYSTEMS AND SIGNAL PROCESSING 2021年第10期40卷 4833-4849页

作者： Wu, Kai-Ning Wang, Zhen Wang, Yun-Zhu Cui, Zhiquan Harbin Inst Technol Dept Math Weihai 264209 Peoples R China Harbin Inst Technol Sch Automot Engn Weihai 264209 Peoples R China

The finite-time control is considered for reaction-diffusion systems (RDSs) under a designed spatial sampled-data controller (SSDC). Firstly, an SSDC is designed and the finite-time stability is investigated for RDSs, based on the designed controller. In terms on Lyapunov functional method and inequality techniques, a sufficient condition is obtained to ensure the finite-time stability. Then, uncertain RDSs are studied and the robust finite-time stability is considered. Under the designed SSDC, a criterion is obtained to ensure the uncertain RDSs to achieve robust finite-time stability. When there exist external disturbances, the H-infinity performance of RDSs is investigated. Both distributed disturbances and boundary disturbances are considered, and sufficient conditions are obtained to guarantee the finite-time H-infinity performance with the designed SSDC. Finally, examples are given to verify the effectiveness of our theoretical results.

关键词： Reaction-diffusion systems sampled-data control Finite-time stability Robust stability H-infinity performance

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UNIFIED RICCATI THEORY FOR OPTIMAL PERMANENT AND sampled-data control PROBLEMS IN FINITE AND INFINITE TIME HORIZONS

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SIAM JOURNAL ON control AND OPTIMIZATION 2021年第1期59卷 489-508页

作者： Bourdin, Loic Trelat, Emmanuel Univ Limoges XLIM Res Inst UMR CNRS 7252 F-87060 Limoges France Sorbonne Univ CNRS Univ Paris INRIALab Jacques Louis Lions F-75005 Paris France

We revisit and extend the Riccati theory, unifying continuous-time linear-quadratic optimal permanent and sampled-data control problems in finite and infinite time horizons. In a nutshell, we prove that the following diagram commutes: [GRAPHICS] i.e., that (i) when the time horizon T tends to +infinity, one passes from the sampled-data Difference Riccati Equation (SD-DRE) to the sampled-data Algebraic Riccati Equation (SD-ARE), and from the Permanent Differential Riccati Equation (P-DRE) to the Permanent Algebraic Riccati Equation (P-ARE);(ii) when the maximal step parallel to Delta parallel to of the time partition Delta tends to 0, one passes from (SD-DRE) to (P-DRE), and from (SD-ARE) to (P-ARE). The notation E in the above diagram (with various superscripts) refers to the solution of each of the Riccati equations listed above. Our notation and analysis provide a unified framework in order to settle all corresponding results.

关键词： optimal control sampled-data control linear-quadratic problems Riccati theory feedback control convergence

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