Adaptive Exponential State Estimation for Markovian Jumping Neural Networks with Multi-delays and Lévy Noises

Mathematical and Computer Modelling of Dynamical Systems

et al. 2020

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This paper investigates the problem of master-slave synchronization of neural networks with time-varying delays via the event-triggered control (ETC). First, the proposed ETC can effectively reduce the total amount of data transmitted to the controller in the synchronization process and avoid communication channel congestion. Second, a master-slave synchronization of neural networks with time-varying delays is constructed, where delays within neural networks and the ETC are simultaneous existence. The controller is updated by the ETC. By the Lyapunov stability theory, some sufficient criteria are obtained to ensure master-slave synchronization of neural networks. Finally, a numerical example and a tunnel diode circuit example are used to verify the validity of results obtained.

Section: Remarkmentioning

confidence: 99%

Master-slave synchronization of neural networks with time-varying delays via the event-triggered control

Zhou

Mathematical and Computer Modelling of Dynamical Systems

et al. 2020

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“…However, neutral-type systems are characterized by the fact that the state rate of change depends not only on delayed states but also on past state rates of change. Recently, such systems have received more and more attention, such as these research studies (Bellen et al, 1999;Chen et al, 2019;Ibrir and Diop, 2009;Liu et al, 2013c;Ozcan, 2019;Shimatani, 2010;Zhang et al, 2018) and the references therein. The practical examples of neutral-type systems can be found in such fields as distributed networks containing lossless transmission lines (Ibrir and Diop, 2009), population ecology (Shimatani, 2010), partial element equivalent circuits (PEECs) (Bellen et al, 1999), and Cohen-Grossberg neural networks (Ozcan, 2019).…”

Section: Introductionmentioning

confidence: 99%

Simultaneous actuator and sensor fault estimation for neutral-type systems via intermediate observer

Wei

Transactions of the Institute of Measurement and Control

et al. 2021

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This study addresses the fault estimation (FE) issue for neutral-type systems with sensor faults and actuator faults through the intermediate observer. First, it is well-known that the observer matching condition (OMC) ought to be met for most traditional FE methods, which is actually difficult to satisfy for many systems. In order to overcome this limitation, a suitable variable is designed and the intermediate observer is proposed to estimate the actuator and sensor faults for neutral-type systems simultaneously. Second, based on linear matrix inequalities, sufficient conditions are derived, which guarantee the existence of the intermediate observer. An augmented descriptor system is constructed for the neutral-type systems. By the Lyapunov stability theory, states of error systems are ultimately bounded. Finally, two examples demonstrate the effectiveness and practicability of the designed strategy.

“…Apart from modeling abrupt changes in systems, the Markov process can also be applied to the scope of digital core . In addition, many control methods for time‐delayed systems with Markovian jumping parameters have been proposed, including H ∞ control, adaptive control, dissipative control, finite‐time control, synchronization control, and asynchronous control …”

Section: Introductionmentioning

confidence: 99%

Asynchronous control of T‐S fuzzy chaotic systems via a unified model using the hidden Markov model subject to strict dissipativity

Optim Control Appl Methods

et al. 2019

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Summary The asynchronous control for the unified model of chaotic systems with Markovian jumping parameters is considered via the Takagi‐Sugeno (T‐S) fuzzy approach in this paper. According to jumping modes for chaotic systems and modes for the asynchronous controller, a double‐mode process is generated. By introducing the hidden Markov model (HMM), the asynchronization phenomenon is represented between the controller and chaotic systems. By linear matrix inequalities (LMIs), some conditions are received to guarantee the stochastic stability and the strict dissipativity for chaotic systems. Based on the stochastic stability theory and the dissipativity theory, the asynchronous controller is discussed. The proposed method can be applied to the mode‐independent controller and the synchronous controller. Finally, the effectiveness of the proposed controller is illustrated by two examples.