Finite-time asynchronous H∞ resilient filtering for switched delayed neural networks with memory unideal measurements

Xie, Wenqian; Zhu, Hong; Cheng, Jun; Zhong, Shouming; Shi, Kaibo

doi:10.1016/j.ins.2019.03.019

Cited by 40 publications

(14 citation statements)

References 43 publications

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“…Markov jump systems (MJSs) are appropriate to model such systems and have thus been widely investigated . In addition, time delays, which generally lead to undesirable situations including instability and oscillation of a system, are unavoidably encountered in signal transmission . Hence, to stabilize MJSs with time delays is important, and many interesting results have been reported .…”

Section: Introductionmentioning

confidence: 99%

“…[1][2][3][4][5][6] In addition, time delays, which generally lead to undesirable situations including instability and oscillation of a system, are unavoidably encountered in signal transmission. [7][8][9] Hence, to stabilize MJSs with time delays is important, and many interesting results have been reported. [10][11][12][13][14] However, the transition rates (TRs) of all modes were assumed to be completely known or partially known.…”

Section: Introductionmentioning

confidence: 99%

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Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Xie

Zhang

Zeng

et al. 2020

Intl J Robust & Nonlinear

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Summary This paper investigates the strictly dissipative stabilization problem for multiple‐memory Markov jump systems with network communication protocol. Firstly, for reducing data transmission, we put forward a novel mode‐dependent event‐triggered communication scheme based on aperiodically sampled data. Secondly, a Markov jump system with general transition rates is considered to make the result more applicable, where the transition rates of some jumping modes allow to be completely known, or partially known, or even completely unknown. Thirdly, a less restrictive Lyapunov‐Krasovskii functional, which is only required to be positive definite at end points of each subinterval of the holding intervals, is first introduced for event‐triggered control issue. Based on the above methods, a sufficient condition with less conservatism is obtained to ensure the stochastic stability and dissipativity of the resulting closed‐loop system. Meanwhile, an explicit design method of the desired controller is achieved. Finally, two numerical examples are presented to demonstrate the effectiveness and advantage of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Xie

Zhang

Zeng

et al. 2020

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

show abstract

“…Moreover, considering the limited speed of signal transmission in a network, time-varying delay is unavoidable and should be considered into the model. It is well known that integer order neural networks with time-varying delay have been deeply studied in [16], [17], [18], [19], [20]. However, only few studies explore the fractional-order neural networks with time-varying delay (FNNTVD) [21], [22], n i=1 |x i (t)|, V (t) = x T (t)Qx(t), and so on.)…”

Section: Introductionmentioning

confidence: 99%

Global Mittag-Leffler Synchronization of Fractional-Order Neural Networks With Time-Varying Delay via Hybrid Sliding Mode Control

Yang

Chen

2020

IEEE Access

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In this paper, the global Mittag-Leffler synchronization (GMLS) for fractional-order neural networks with time-varying delay (FNNTVD) is studied based on hybrid sliding mode control (HSMC). First, a class of sliding surface is designed to study the dynamic behavior of FNNTVD by using the integer order Lyapunov direct method, which resolves the problem that the activation function of FNNTVD cannot be applied to the construction of Lyapunov function in the previous literature. Then, a new HSMC with the fixed signal transmission time delay is developed to ensure GMLS of FNNTVD. Next, based on Lyapunov direct method and the designed HSMC, some criteria are put forward to achieve GMLS of FNNTVD. Finally, two examples are given to verify the effectiveness of the proposed synchronization criteria for FNNTVD.

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“…Hence, it is more practical to take the asynchronous problem into consideration. The asynchronous problems have been considered for a wide range of systems, including switched systems, 2‐D switched systems, Markov jump systems, switched neural networks, switched Boolean networks, asynchronous sequential machines, and so on.…”

Section: Introductionmentioning

confidence: 99%

A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time

et al. 2019

Intl J Robust & Nonlinear

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Summary In this paper, the L1 filtering problem is studied for continuous‐time switched positive linear systems (SPLSs) with a small delay existing in the switching of the filter and the subsystem. Unlike the existing literature concerned with asynchronous problems of SPLSs, the synchronous and asynchronous filters will be designed separately, which implies less conservative results. By introducing a class of clock‐dependent Lyapunov function (CDLF), which jumps down when the modes of the filter or the subsystem change and may increase or decrease during the asynchronous interval, clock‐dependent sufficient conditions characterizing a nonweighted L1‐gain performance of the filter error systems are established. Then, based on the L1 analysis results, a pair of error‐bounding filters are designed to estimate the outputs of SPLSs. The filter gains can be obtained by solving a set of linear programming. Finally, two numerical examples are presented to show the effectiveness and advantages of the results.

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Finite-time asynchronous H∞ resilient filtering for switched delayed neural networks with memory unideal measurements

Cited by 40 publications

References 43 publications

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Global Mittag-Leffler Synchronization of Fractional-Order Neural Networks With Time-Varying Delay via Hybrid Sliding Mode Control

A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time

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Finite-time asynchronous H∞ resilient filtering for switched delayed neural networks with memory unideal measurements

Cited by 40 publications

References 43 publications

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Global Mittag-Leffler Synchronization of Fractional-Order Neural Networks With Time-Varying Delay via Hybrid Sliding Mode Control

A novel approach to L1 filter design for asynchronously switched positive linear systems with dwell time

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A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time