Fault-tolerant anti-synchronization control for chaotic switched neural networks with time delay and reaction diffusion

Zhou, Jianping; Liu, Yamin; Park, Ju H.; Kong, Qingkai; Wang, Zhen

doi:10.3934/dcdss.2020357

Cited by 9 publications

(5 citation statements)

References 39 publications

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“…Therefore, if the inequalities (13a), (13b) and (13c) hold, then according to Definition 1 and Theorem 1, we conclude that the system (4) with GUTRs is stochastically admissible with a given ∞ performance for any time-varying delay ( ) satisfying (2), thus, it completes the proof. □ Remark 3: In many engineering areas, there is a need to model the dynamics of a control system in partial functional differential equations [39][40]. It should be noted that by using the methods mentioned in this paper, it is easy to extend the results of this paper to SMJSs with reactiondiffusion terms under GUTRs.…”

Section: Resultsmentioning

confidence: 90%

Delay-Dependent H∞ Control for Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Shen

2020

IEEE Access

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This paper is devoted to the problem of ∞ control for a class of singular Markovian jump systems with time-varying delay and generally uncertain transition rates, which means each transition rate is completely unknown or only its estimated value is known. By using Lyapunov stability theory, a new delaydependent ∞ admissible criterion in terms of strict linear matrix inequalities is obtained, which guarantees that the singular Markovian jump system with known transitions rates is regular, impulse-free and stochastically stable with a prescribed ∞ disturbance attenuation level γ. Based on this obtained criterion, some suitable state feedback controllers are designed such that the closed-loop delayed singular Markovian jump system with generally uncertain transition rates is ∞ stochastically admissible. Finally, numerical examples are included to illustrate the effectiveness and the less conservativeness of the proposed method.

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Section: Resultsmentioning

confidence: 90%

Delay-Dependent H∞ Control for Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Shen

2020

IEEE Access

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“…However, in practice, there is usually a restriction to the switching frequency. In this case, by combining with method in [24], [25]. The present synthesis method can be extended to deal with singular systems with average dwell time (ADT) switching.…”

Section: Resultsmentioning

confidence: 99%

“…Two examples are illustrated to demonstrate the effectiveness of the achieved results. In the future, extending the methods in this paper to more complicated situations, such as for SMJSs with ADP switching in [24], [25] and time delay [26] deserves further exploration.…”

Section: Resultsmentioning

confidence: 99%

Reduced-Order Filtering for Singular Markovian Jump Systems With Incomplete Transition Rates

Zhang

2020

IEEE Access

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This paper considers the reduced-order H ∞ filtering problem for singular Markovian jump systems (SMJSs) with incomplete transition rates (ITRs) by using augmented system method. The considered conditions in this paper are necessary and sufficient (NS), whereas the existing conditions are mainly sufficient. To be concrete, by extracting system matrices in the considered system from augmented system, NS condition for the existence of the full-order H ∞ filtering is provided in terms of linear matrix inequalities (LMIs). However, it is hard to extend the condition to the existence of the reduced-order H ∞ filtering. Thus, by fixing augmented system matrices, NS condition for the existence of the reduced-order one is presented to guarantee the desired filtering error system to be stochastically admissible with H ∞ performance level. Furthermore, there are neither complicated matrix transformation nor equality/rank constraints in this paper. One numerical and one practical examples are illustrated to demonstrate the effectiveness of the achieved results. INDEX TERMS Singular Markovian jump system, incomplete transition rates, sufficient and necessary conditions, reduced-order filtering.

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“…Compared with traditional schemes, the non-fragile strategies can deal with the controller or filter parameter perturbations. [11][12][13][14][15][16] On this foundation, the robustness and applicability can be improved. As a result, several non-fragile based analysis and synthesis findings for MJSs have been reported.…”

Section: Introductionmentioning

confidence: 99%

Non-fragile distributed mode-dependent dissipative state estimation of uncertain Markov jump systems over sensor networks

Jiang

Zhao

Wang

et al. 2021

Measurement and Control

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This paper considers the non-fragile distributed state estimation problem for Markov jump systems over sensor networks based on dissipative theory. Moreover, both state estimator gain variations and parameter uncertainties are assumed to be with mode-dependent for more practical modeling. On the basis of stochastic analysis and Lyapunov–Krasovskii function method, sufficient conditions with desired mode-dependent estimators are established such that the prescribed dissipative performance can be achieved. In the end, the effectiveness and applicability of the developed scheme is confirmed via the illustrative example.

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Fault-tolerant anti-synchronization control for chaotic switched neural networks with time delay and reaction diffusion

Cited by 9 publications

References 39 publications

Delay-Dependent H∞ Control for Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Delay-Dependent H∞ Control for Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Reduced-Order Filtering for Singular Markovian Jump Systems With Incomplete Transition Rates

Non-fragile distributed mode-dependent dissipative state estimation of uncertain Markov jump systems over sensor networks

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