Nonfragile Finite-Time Synchronization for Coupled Neural Networks With Impulsive Approach

Rao, Hongxia; Guo, Yuru; Xu, Yong; Liu, Chang; Lu, Renquan

doi:10.1109/tnnls.2020.3001196

Cited by 33 publications

(7 citation statements)

References 38 publications

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“…) Substituting Equation (12) into Equation (39) and combining Equations ( 30) to (32), we obtain J 2 (t ) < 0 by inequality in Equation (25). Then, taking integration it from 0 to  and recalling to Definition 1, we get…”

Section: Resultsmentioning

confidence: 99%

Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

Zhang

Yin

Wang

et al. 2020

IET Control Theory & Appl

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For a class of conic-type non-linear time-delay Markov jump systems, the asynchronous dissipative output feedback controller based on the guaranteed cost control and quantiser is designed in this study. In real applications, the system and the controller modes are always non-synchronous, so we introduce the hidden Markov model to solve this problem. Furthermore, we define three novel auxiliary variables and use quantisers to accomplish the output feedback controller design. Then, the finite-time boundedness and strict dissipativity of the closed-loop systems are guaranteed by sufficient conditions, and the controller also meets the guaranteed cost-control performance. By solving a set of linear matrix inequalities, we get the controller gains, the guaranteed cost control performance index J * , and the dissipative performance index α. Finally, the correctness and feasibility of this designed approach are demonstrated by a given example.

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Section: Resultsmentioning

confidence: 99%

Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

Zhang

Yin

Wang

et al. 2020

IET Control Theory & Appl

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“…As is known to all, some systems utilize impulsive method to increase the efficiency of the controller or estimator. Impulsive method, which is seen as a special intermittent approach updating state instantaneously, is widely applied in the state feedback, synchronization and state estimation, and so on 29‐35 . Different from the impulsive drive, intermittent approach expands the range of trigger from a point to a period of time, that is, it provides a sustained period of drive to a system, which greatly improves the drive efficiency 36‐38 .…”

Section: Introductionmentioning

confidence: 99%

“…Impulsive method, which is seen as a special intermittent approach updating state instantaneously, is widely applied in the state feedback, synchronization and state estimation, and so on. [29][30][31][32][33][34][35] Different from the impulsive drive, intermittent approach expands the range of trigger from a point to a period of time, that is, it provides a sustained period of drive to a system, which greatly improves the drive efficiency. [36][37][38] Benefiting from the advantage of the intermittent approach, some researchers are motivated to focus on it.…”

Section: Introductionmentioning

confidence: 99%

Intermittent state estimation for nonlinear delay systems with redundant communication channels

Guo

Yang

Rao

et al. 2022

Intl J Robust & Nonlinear

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This article investigates state estimation for discrete-time nonlinear systems with Markov delay, where a redundant communication channel is considered to improve transmission reliability. As the channel capacity is limited, we use two Bernoulli stochastic variables to describe the packet dropout conditions of the main channel and the redundant one. In addition, a mode-dependent estimator based on both the current state and the delayed state is designed. Combining with an intermittent approach, the efficiency of the estimator is improved. An augmented estimation error system is proposed to deal with the Markov delay in the nonlinear system. Subsequently, a sufficient condition is obtained to ensure the asymptotic stability of the augmented error system by constructing a Lyapunov function, and the gains of the intermittent estimator are derived. Finally, a numerical example of a moving vehicle is utilized to illustrate the developed results.

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“…In the process of signal transmission, simultaneous multiple transmission by the transport channel would produce inevitable signal collisions because of the constrained communication channel 12,13 . Accordingly, some communication protocols are introduced to schedule the multiple signals and well‐known protocols are round‐robin protocol, 14 try‐one‐discards protocol, 15 SAP, 16 and so on.…”

Section: Introductionmentioning

confidence: 99%

Protocol‐based H_∞ filtering for piecewise linear systems: A measurement‐dependent equivalent reduction approach

Wei

Ding

2021

Intl J Robust & Nonlinear

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In this article, a protocol‐based H∞ filtering problem is investigated for piecewise linear (PWL) systems with mixed delays. Stochastic access protocol (SAP) is utilized to schedule the signal transmission via a constrained communication channel, under which only one measurement value can be transmitted to the filter at each time instant following a Markov process. When SAP is applied to PWL systems, only a part of system modes can be observed due to the incomplete measurement information. Therefore, a measurement‐dependent parameter storage rule with a certain probability distribution is introduced to overcome the difficulties coming from SAP‐induced incomplete information. By resorting to the proposed mode storage rule, a novel measurement‐dependent asynchronous H∞ filter model is constructed and the problem is converted into a new switching process of a larger state space following a reconstructed Markov process. Subsequently, a sufficient condition is established to guarantee the H∞ performance, and the probability‐dependent filter parameters are obtained by applying the stochastic analysis technique. Finally, a numerical example is given to show the effectiveness of the design approach.

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Nonfragile Finite-Time Synchronization for Coupled Neural Networks With Impulsive Approach

Cited by 33 publications

References 38 publications

Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

Intermittent state estimation for nonlinear delay systems with redundant communication channels

Protocol‐based H_∞ filtering for piecewise linear systems: A measurement‐dependent equivalent reduction approach

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Nonfragile Finite-Time Synchronization for Coupled Neural Networks With Impulsive Approach

Cited by 33 publications

References 38 publications

Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

Intermittent state estimation for nonlinear delay systems with redundant communication channels

Protocol‐based H∞ filtering for piecewise linear systems: A measurement‐dependent equivalent reduction approach

Contact Info

Product

Resources

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Protocol‐based H_∞ filtering for piecewise linear systems: A measurement‐dependent equivalent reduction approach