Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme

Wang, Jing; Ru, Tingting; Xia, Jianwei; Wei, Yunliang; Wang, Zhen

doi:10.1016/j.amc.2019.03.037

Cited by 58 publications

(29 citation statements)

References 46 publications

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“…By Lemma 2.4, we can get V (t) ≡ 0 for t ≥ T , the synchronization error system (4) can be finite/fixed-time stabilized under adaptive quantized controller (25) and adaptive parameter updating law (26). The settling time T satisfies (28) and (29), respectively.…”

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confidence: 95%

“…The stability of synchronization error dynamic systems is one of the main research issues of synchronization control for complex networks. Recently, finite-time synchronization has received more and more attention due to its faster convergence rate and better disturbance rejection ability [32,25,24,13]. However, one critical problem is that the settling time of finite-time control is heavily dependent on the initial conditions.…”

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confidence: 99%

“…Theorem 4.1. Let Assumption 1 hold, the complex networks (1) can be finite/fixedtime synchronization with (3) via the quantized adaptive controller (25) and adaptive parameter updating law (26), if there exist positive definite diagonal matrices P, M * and scalars ξ * > 0, ε 1 > 0, such that the following LMI holds:…”

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confidence: 99%

“…From [30], select p = − Figure 3 shows the synchronization error trajectories of the complex network (1) and the target system (3) under the action of the quantized adaptive controller (25). It can be seen from the Figure 3 that the synchronization error system is stable in finite time and the settling time is estimated as follows Figure 4 that fixed-time stability of the synchronization error dynamic system can be achieved.…”

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confidence: 99%

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Finite/fixed-time synchronization for complex networks via quantized adaptive control

Shi

2021

era

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In this paper, a unified theoretical method is presented to implement the finite/fixed-time synchronization control for complex networks with uncertain inner coupling. The quantized controller and the quantized adaptive controller are designed to reduce the control cost and save the channel resources, respectively. By means of the linear matrix inequalities technique, two sufficient conditions are proposed to guarantee that the synchronization error system of the complex networks is finite/fixed-time stable in virtue of the Lyapunov stability theory. Moreover, two types of setting time, which are dependent and independent on the initial values, are given respectively. Finally, the effectiveness of the control strategy is verified by a simulation example. 2020 Mathematics Subject Classification. 94C30.

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Finite/fixed-time synchronization for complex networks via quantized adaptive control

Shi

2021

era

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“…So, delay is considered as a key source of instability [28][29][30][31]. Currently, authors investigated the properties of Markov jump systems to get an extension to handle the problem of synchronization for the networked control system [32,33]. e stability of such type systems is more challenging than normal regular systems because of singular systems required to be stable, regular, and impulse free.…”

Section: Introductionmentioning

confidence: 99%

Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay

Aslam

Dai

2020

Complexity

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is paper investigates the problem of quantized dissipative observer-based output feedback control of Markovian descriptor jump systems with unavailable states, appearing networked-induced delay. e descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. To accomplish the objective, a uniform framework is employed to design the delayed Markov observer-based controller and event-triggered scheme. Additionally, we provided the H ∞ and L 2 -L ∞ and dissipative performance indices which are robust against the disturbances with time-varying delays. Moreover, a novel Lyapunov-Krasovskii functional is considered to guarantee the closed loop for stochastic stability analysis of the Markovian descriptor jump system. e solvability of Lyapunov-Krasovskii functional results in the formation of linear matrix inequalities. e controller and observer gains can be obtained by solving the linear matrix inequalities. Simulations are performed to validate the proposed scheme.

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Fixed‐time synchronization of stochastic complex networks with Markov jump and mixed delays via adaptive non‐chattering control

Liu

Xiao-li

2021

Optim Control Appl Methods

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In this article, the fixed‐time synchronization problem for stochastic complex networks (CNs) with Markov jump and mixed delays is investigated. Compared with fixed‐time synchronization of stochastic CNs in existing literature, the fixed‐time synchronization for stochastic CNs with Markov jump and mixed delays is studied for the first time, which is of better significance. Utilizing the Lyapunov method, under the framework of adaptive non‐chattering control, some fixed‐time synchronization conditions are derived. Besides, from the results of the convergence time, the convergence time obtained by the fixed‐time synchronization studied in this article does not depend on the initial value of the system, but is only related to the control parameters. Eventually, a numerical example is also carried out to demonstrate the practicability and validity of our proposed results. Furthermore, a secure communication synchronization problem is presented to illustrate the effectiveness of the obtained results.

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Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme

Cited by 58 publications

References 46 publications

Finite/fixed-time synchronization for complex networks via quantized adaptive control

Finite/fixed-time synchronization for complex networks via quantized adaptive control

Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay

Fixed‐time synchronization of stochastic complex networks with Markov jump and mixed delays via adaptive non‐chattering control

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