Extended dissipative estimator design for uncertain switched delayed neural networks via a novel triple integral inequality

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

doi:10.1016/j.amc.2018.04.037

Cited by 12 publications

(7 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If  i 1 = ∅ and  i 2 = , there exist matrixP i ∈ ℜ n×n ,P i + P i ≥ 0 (j = i),P i + P ≤ 0 (j ≠ i), such that (8), (9) hold and […”

Section: Resultsmentioning

confidence: 99%

“…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%

See 2 more Smart Citations

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

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.

show abstract

“…If  i 1 = ∅ and  i 2 = , there exist matrixP i ∈ ℜ n×n ,P i + P i ≥ 0 (j = i),P i + P ≤ 0 (j ≠ i), such that (8), (9) hold and […”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

“…It is obvious that the new system (33) is just a special case of the system (1). The reachable set estimation for system (33) has been mainly studied by employing the common Lyapunov-Krasovskii functional in [17]. The corresponding bounding ellipsoids have also been derived.…”

Section: Resultsmentioning

confidence: 99%

State bounding estimation for a linear continuous-time singular system with time-varying delay

Xiao

2019

Adv Differ Equ

View full text Add to dashboard Cite

show abstract

“…Later, Feng et al 23 further developed the extended dissipative conception for discrete‐time delayed NNs, where using the reciprocal convex combination approach with the forward difference of triple‐summable terms. Therefore, enlightened by References 22 and 23, a great deal of attention has been devoted to the extended dissipative issue for the NNs with time‐varying delays 24‐26 . Nevertheless, to the best of our knowledge, there are few existing papers which concern about the extended dissipative analysis for MNNs with time‐varying delay, which is the first motivation of our present study.…”

Section: Introductionmentioning

confidence: 97%

New results on stability analysis and extended dissipative conditions for uncertain memristive neural networks with two additive time‐varying delay components and reaction‐diffusion terms

Cao

Xiong

et al. 2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article deals with the problems of exponential stability and extended dissipative analysis for a class of uncertain memristive neural networks (MNNs) with additive time-varying delays and reaction-diffusion terms. On the basis of generalized Lyapunov functional approach, Hardy-Poincarè inequality, Jensen's inequality, as well as some other inequality techniques, it is shown that the issues of exponential stability and extended dissipativity for the uncertain reaction-diffusion MNNs are solvable if a set of linear matrix inequalities (LMIs) proposed are feasible. As a special case, the conditions on exponential stability and extended dissipativity for the uncertain MNNs with additive time-varying delays are also obtained and given in terms of nonlinear matrix inequalities (NMIs). The obtained NMIs can be transformed as general LMIs via using a new quadratic convex combination skill. Moreover, the developed sufficient conditions for the uncertain delayed MNNs with and without reaction-diffusion terms can be easily checked by Matlab LMI control toolbox, and three numerical examples with simulation are provided to show the effectiveness and applicability of the theoretical results.

show abstract

Extended dissipative estimator design for uncertain switched delayed neural networks via a novel triple integral inequality

Cited by 12 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

State bounding estimation for a linear continuous-time singular system with time-varying delay

New results on stability analysis and extended dissipative conditions for uncertain memristive neural networks with two additive time‐varying delay components and reaction‐diffusion terms

Contact Info

Product

Resources

About