Synchronization of continuous-time Markovian jumping singular complex networks with mixed mode-dependent time delays

Ma, Yuechao; Zheng, Yuqing

doi:10.1016/j.neucom.2015.01.001

Cited by 42 publications

(17 citation statements)

References 29 publications

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“…multiplying (13) to the right by diag R −T i (k), R −T i (k), I, I, I, I, I and to the left by its transpose ,we obtain the following inequality: ⎡…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Dissipativity-based filtering of nonlinear periodic Markovian jump systems: The discrete-time case

Tao

et al. 2016

Neurocomputing

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“…multiplying (13) to the right by diag R −T i (k), R −T i (k), I, I, I, I, I and to the left by its transpose ,we obtain the following inequality: ⎡…”

Section: Resultsmentioning

confidence: 99%

“…The state estimation problems have been reported in [12], and the synchronization problems have been studied in [13].…”

Section: Introductionmentioning

confidence: 99%

Dissipativity-based filtering of nonlinear periodic Markovian jump systems: The discrete-time case

Tao

et al. 2016

Neurocomputing

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“…Assumption is satisfied with φ 1 = φ 2 =1, and all error subsystems in are not stable because

eig false({scriptE}_{1}, {\overset{scriptA}{true}}_{1} false) = false{5.8, - 3.9714 false}

eig false({scriptE}_{2}, {\overset{scriptA}{true}}_{2} false) = false{- 0.68, 0.16 false}

. Therefore, the methods in other works cannot be applied to achieve the synchronization problem of the aforementioned studied switched system that each subnetwork is not synchronous. However, Theorem can be used to solve this problem, as shown below.…”

Section: Examplesmentioning

confidence: 99%

“…Then, a novel algorithm is proposed, which can be used to solve the impulsive control gain directly. Moreover, the designed impulse signal acts on both the slow and the fast state variables instead of only the slow state variable such as in the work of Chen et al, which renders more generality of our current research. (3)By using the discretized Lyapunov function approach that fully catches the hybrid characteristic of switched impulsive systems, the synchronization of SSCNs is realized in the framework of the convex combination and matrix generalized inverse techniques. (4)Compared with other works, the synchronization of SSCNs can still be achieved even if each subnetwork does not self‐synchronize. Especially, this synchronization is achieved without restricting just synchronizing or desynchronizing impulses.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of singular switched complex networks via impulsive control with all nonsynchronized subnetworks

Zhan

Liu

2019

Intl J Robust & Nonlinear

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Summary This paper studies impulsive synchronization of a class of nonlinear singular switched complex networks (SSCNs). With the aid of discretized Lyapunov function method and the matrix generalized inverse technique, an impulsive controller is designed, which works on both the slow and the fast state variables to synchronize SSCNs at impulsive instant. Based on the designed controller, it is shown that the synchronization of SSCNs is achieved in two cases: all subnetworks that are not self‐synchronized and all subnetworks that are self‐synchronized. Moreover, an example is given to validate the effectiveness of the proposed controller.

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“…For example, in Zhang et al, the sliding mode control problem was discussed for singular stochastic Markovian jump systems with uncertainties. In Ma and Zheng, the globally synchronization problem was investigated for an array of nonlinearly coupled singular complex networks with Markovian jump and mixed time delays. In Li et al, the sliding mode control problem was concerned for a class of descriptor Markovian jump systems with mode‐dependent derivative‐term coefficient.…”

Section: Introductionmentioning

confidence: 99%

Reliable sliding mode finite‐time control for discrete‐time singular Markovian jump systems with sensor fault and randomly occurring nonlinearities

Liu

Wang

2017

Intl J Robust & Nonlinear

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Summary This paper focuses on the problem of finite‐time H∞ control for one family of discrete‐time uncertain singular Markovian jump systems with sensor fault and randomly occurring nonlinearities through a sliding mode approach. The failure of sensor is described as a general and practical continuous fault model. Nonlinear disturbance satisfies the Lipschitz condition and occurs in a probabilistic way. Firstly, based on the state estimator, the discrete‐time close‐loop error system can be constructed and sufficient criteria are provided to guarantee the augment system is sliding mode finite‐time boundedness and sliding mode H∞ finite‐time boundedness. The sliding mode control law is synthesized to guarantee the reachability of the sliding surface in a short time interval, and the gain matrices of state feedback controller and state estimator are achieved by solving a feasibility problem in terms of linear matrix inequalities through a decoupling technique. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

show abstract

Synchronization of continuous-time Markovian jumping singular complex networks with mixed mode-dependent time delays

Cited by 42 publications

References 29 publications

Dissipativity-based filtering of nonlinear periodic Markovian jump systems: The discrete-time case

Dissipativity-based filtering of nonlinear periodic Markovian jump systems: The discrete-time case

Synchronization of singular switched complex networks via impulsive control with all nonsynchronized subnetworks

Reliable sliding mode finite‐time control for discrete‐time singular Markovian jump systems with sensor fault and randomly occurring nonlinearities

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