Synchronization of master-slave markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control

Ali, M. Syed; Yogambigai, J.; Cao, Jinde

doi:10.1016/s0252-9602(17)30008-5

Cited by 42 publications

(17 citation statements)

References 45 publications

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“…Assuming (l q ) = i for any t ∈ [l q , l q+1 ), the time derivative of the Lyapunov functions in (22) can be derived as (24), applying Lemma 2, one can obtain respectively…”

Section: Stability Analysis and Control Synthesismentioning

confidence: 99%

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Liu

Qiu

et al. 2020

Optim Control Appl Methods

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Summary This paper studies the event‐triggered H∞ control for synchronization of networked switched master‐slave systems under external disturbance, stochastic attacks, and quantization. With the proposed event‐triggering schemes, the communication frequency and data packets can be effectively regulated and reduced. To reduce further the burden of network transmission, the quantized control is applied. Moreover, the network transmission delay and the stochastic cyberattacks are concerned. In addition, the synchronization problem between switched master systems and switched slave systems is transformed into a stability problem of switched error systems. By adopting multiple Lyapunov functions and average dwell time method, sufficient conditions are constructed to assure the mean‐square exponential stability with H∞ performance of the switched error systems. Meanwhile, the stagger between data switching instants and triggering instants is discussed in the system in detail. Accordingly, the controller gains and event‐triggering parameters are obtained utilizing a set of linear matrix inequalities. Finally, a numerical simulation and a practical example are illustrated to demonstrate the effectiveness of the presented method.

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“…Assuming (l q ) = i for any t ∈ [l q , l q+1 ), the time derivative of the Lyapunov functions in (22) can be derived as (24), applying Lemma 2, one can obtain respectively…”

Section: Stability Analysis and Control Synthesismentioning

confidence: 99%

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Liu

Qiu

et al. 2020

Optim Control Appl Methods

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“…During the recent years, a large number of research activities have been concerned on the nonlinear MJSs. [11][12][13][14][15][16][17][18] For example, sliding mode control is extended to robust stabilization of nonlinear MJSs 19,20 and the ergodic control problem of nonlinear MJSs is studied based on the dynamic programming principle. 21,22 However, most of the work done on stabilization and control is built upon the assumption of the MJSs without stochastically driven.…”

Section: Introductionmentioning

confidence: 99%

Feedback stabilization of multi‐DOF nonlinear stochastic Markovian jump systems

Dong

et al. 2019

Intl J Robust & Nonlinear

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Summary A feedback control strategy is designed to asymptotically stabilize a multi‐degree‐of‐freedom (DOF) nonlinear stochastic systems undergoing Markovian jumps. First, a class of hybrid nonlinear stochastic systems with Markovian jumps is reduced to a one‐dimensional averaged Itô stochastic differential equation for controlled total energy. Second, the optimal control law is deduced by applying the dynamical programming principle to the ergodic control problem of the averaged systems with an undetermined cost function. Third, the cost function is determined by the demand of stabilizing the averaged systems. A Lyapunov exponent is introduced to analyze approximately the asymptotic stability with probability one of the originally controlled systems. To illustrate the application of the present method, an example of stochastically excited two coupled nonlinear oscillators with Markovian jumps is worked out in detail.

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“…In recent years, finite-time stability and control of nonlinear dynamical systems have attracted increasing attention [1,3,4,22,23,25,27,33,35,36,42]. Different from the Lyapunov stability, finite-time stability requires that the state trajectories of the system tend to an equilibrium state in a finite time, and the settling time for finite-time convergence depends on the initial conditions.…”

Section: Introductionmentioning

confidence: 99%

Fixed-time control of delayed neural networks with impulsive perturbations

Sui

et al. 2018

NAMC

116

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This paper is concerned with the fixed-time stability of delayed neural networks with impulsive perturbations. By means of inequality analysis technique and Lyapunov function method, some novel fixed-time stability criteria for the addressed neural networks are derived in terms of linear matrix inequalities (LMIs). The settling time can be estimated without depending on any initial conditions but only on the designed controllers. In addition, two different controllers are designed for the impulsive delayed neural networks. Moreover, each controller involves three parts, in which each part has different role in the stabilization of the addressed neural networks. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical analysis.

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Synchronization of master-slave markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control

Cited by 42 publications

References 45 publications

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Feedback stabilization of multi‐DOF nonlinear stochastic Markovian jump systems

Fixed-time control of delayed neural networks with impulsive perturbations

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Synchronization of master-slave markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control

Cited by 42 publications

References 45 publications

Event‐triggered H∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Event‐triggered H∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Feedback stabilization of multi‐DOF nonlinear stochastic Markovian jump systems

Fixed-time control of delayed neural networks with impulsive perturbations

Contact Info

Product

Resources

About

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization