Finite-time lag synchronization of delayed neural networks

Finite-time synchronization for a class of fractional-order delayed neural networks with fractional order , 0 < ≤ 1/2 and 1/2 < < 1, is investigated in this paper. Through the use of Hölder inequality, generalized Bernoulli inequality, and inequality skills, two sufficient conditions are considered to ensure synchronization of fractional-order delayed neural networks in a finitetime interval. Numerical example is given to verify the feasibility of the theoretical results.

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“…References [24][25][26][27][28] discussed the finite-time synchronization of neural networks, which only considered integer-order systems.…”

Section: Then Master System (3) Is Synchronized With Slave System (5)mentioning

confidence: 99%

“…In order to achieve faster synchronization in control systems, an effective finite-time control method is utilized. Some important results on finitetime synchronization were demonstrated on integer-order systems [24][25][26][27][28]. Note that time delay [29][30][31] occurs in many physical and engineering systems.…”

Section: Introductionmentioning

confidence: 99%

New Methods of Finite‐Time Synchronization for a Class of Fractional‐Order Delayed Neural Networks

Zhang

Cao

Alsaedi

et al. 2017

Mathematical Problems in Engineering

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“…Finite-time control theory has been widely used in Cucker-Smale systems [20], complex dynamic network systems [21], PMSM [22], delay neural networks systems [23], chaotic systems [24], and so forth. Compared with the finite-time control, the fixed-time control has the characteristic that the maximum adjustment time is not affected by the initial conditions.…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Stability of the Hydraulic Turbine Governing System

Liu

Zhang

et al. 2018

Mathematical Problems in Engineering

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This paper studies the problem of fixed-time stability of hydraulic turbine governing system with the elastic water hammer nonlinear model. To control and improve the quality of hydraulic turbine governing system, a new fixed-time control strategy is proposed, which can stabilize the water turbine governing system within a fixed time. Compared with the finite-time control strategy where the convergence rate depends on the initial state, the settling time of the fixed-time control scheme can be adjusted to the required value regardless of the initial conditions. Finally, we numerically show that the fixed-time control is more effective than and superior to the finite-time control.

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“…The authors in [32] investigated the finite-time stability and designed a finite-time ∞ controller for a class of nonlinear time-delay Hamiltonian systems. Meanwhile, the finite-time stability or synchronization problem of neural networks was studied in [35][36][37][38][39][40][41][42]. It is worth noting that most of the results in literature focus on the finite-time stability for systems with or without time delays.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

Sui²,

et al. 2017

Mathematical Problems in Engineering

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The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived. The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.

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Finite-time lag synchronization of delayed neural networks

Cited by 76 publications

References 19 publications

New Methods of Finite‐Time Synchronization for a Class of Fractional‐Order Delayed Neural Networks

New Methods of Finite‐Time Synchronization for a Class of Fractional‐Order Delayed Neural Networks

Fixed-Time Stability of the Hydraulic Turbine Governing System

Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

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