Delay-dependent dissipativity criteria for Markovian jump neural networks with random delays and incomplete transition probabilities

Nagamani, G.; Joo, Young Hoon; Radhika, T.

doi:10.1007/s11071-017-4028-6

Cited by 15 publications

(4 citation statements)

References 42 publications

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“…So the system is no longer a neutral-type memristive neural network. We find that the dissipativity of other types of neural network model has been discussed in [30,41,42]. When some terms are removed, the dissipativity result of Theorem 3.1 can be obtained by utilizing LMI.…”

Section: Resultsmentioning

confidence: 90%

Dissipativity analysis of neutral-type memristive neural network with two additive time-varying and leakage delays

2019

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In this paper, we offer an approach about the dissipativity of neutral-type memristive neural networks (MNNs) with leakage, additive time, and distributed delays. By applying a suitable Lyapunov-Krasovskii functional (LKF), some integral inequality techniques, linear matrix inequalities (LMIs) and free-weighting matrix method, some new sufficient conditions are derived to ensure the dissipativity of the aforementioned MNNs. Furthermore, the global exponential attractive and positive invariant sets are also presented. Finally, a numerical simulation is given to illustrate the effectiveness of our results.

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Section: Resultsmentioning

confidence: 90%

Dissipativity analysis of neutral-type memristive neural network with two additive time-varying and leakage delays

2019

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“…With the rapid development of computer and networked technologies, data transmission via communication networks has received considerable research attentions [1][2][3][4][5][6][7][8][9][10]. Due to the advantages of the NCSs such as data sharing, low cost, and easy maintenance, it has been widely used in the field of process control, electricity system, aircraft control systems, automobile controlling systems, etc.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Event Trigger Mechanism and Time-Delay Partitioning Are Applied to Event-Driven Control Systems

Wang

Sun

Shen

2020

Mathematical Problems in Engineering

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This paper proposes an idea of using time-delay partitioning to construct a Lyapunov–Krasovskii functional (LKF) to analyse event-driven network control systems (NCSs) with the H∞ performance. Firstly, select a mixed event-driven mechanism, in which an adjustable absolute trigger mechanism is added to the trigger condition. Trigger term can be indicated to use a delay model. Secondly, a suitable LKF is created, which makes use of time-delay partitioning. Based on Wirtinger inequality and linear matrix inequalities (LMI), the close system with H∞ performance index level is global uniform ultimate bounded. Finally, a numerical simulation example proves the effectiveness of the proposed method.

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“…The switching between different neural networks can be controlled by Markov chain. Therefore, it is of great significance to study the neural network model with this jump mode [5]- [7]. Therefore, this paper will make correlation stability analysis based on Markov jump neural network system (MJNN).…”

Section: Introductionmentioning

confidence: 99%

“…scholars [5], [8]- [10]. Time-delay stability criteria include time-delay dependence and time-delay independence.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Markov Jump Neural Networks With Mixed Delays in Finite Frequency Domain Based on PDC Controller

Sun

2019

IEEE Access

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In this paper, the stability of Markov jumping neural network (MJNN) with mixed delays under the control of finite frequency domain Parallel Distributed Compensation (PDC) controller is studied. By introducing the generalized-KYP lemma, the frequency domain analysis is combined with the neural network. The positive definite and negative definite conditions in Lyapunov stability theory are improved by using Bessel-Legendre inequality method. Sufficient conditions for the stability of the system are given and proved. Finally, numerical examples show that the system can maintain stability under the control of the PDC controller at low, medium and high frequencies.INDEX TERMS Mixed Time-varying-delayed, Markov jumping neural network, linear matrix inequalities, finite frequency, PDC controller.

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Delay-dependent dissipativity criteria for Markovian jump neural networks with random delays and incomplete transition probabilities

Cited by 15 publications

References 42 publications

Dissipativity analysis of neutral-type memristive neural network with two additive time-varying and leakage delays

Dissipativity analysis of neutral-type memristive neural network with two additive time-varying and leakage delays

A Hybrid Event Trigger Mechanism and Time-Delay Partitioning Are Applied to Event-Driven Control Systems

Stability Analysis of Markov Jump Neural Networks With Mixed Delays in Finite Frequency Domain Based on PDC Controller

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