Abstract
This paper investigates the finite-time synchronization of complex dynamical networks with nondelayed and delayed coupling. By designing a simple continuous function controller, sufficient criteria for finite-time synchronization of dynamical networks with nondelayed and delayed coupling are obtained. As a special case, the continuous function controller designed in this paper may be the simplest and easy to implement for the finite-time synchronization of dynamical networks without delay. Finally, numerical simulations are given to verify the effectiveness of the conclusions presented in this paper.
Highlights
As synchronization behavior of complex systems is a common phenomenon in the field of nature and engineering technology, synchronization control of complex systems has been attracted people to study [1,2,3,4,5,6,7,8]
When the brain is stimulated by external signals, the brain’s nervous system will respond and the response output signals of the central nervous system and the sensory nervous system should be consistent. at is to say, the driving neural network and the response neural network move under different starting conditions
By properly controlling the neural network, the trajectories of the two neural networks will coincide in a finite-time, which is the finite-time control of the neural dynamic network
Summary
As synchronization behavior of complex systems is a common phenomenon in the field of nature and engineering technology, synchronization control of complex systems has been attracted people to study [1,2,3,4,5,6,7,8]. Discrete Dynamics in Nature and Society feedback [18], finite-time control via linear and nonlinear control method [19], finite-time control with nonlinear dynamics and uncertainties [20], finite-time control with switched discontinuous systems, and so on [21] In these discussions, the designed controller usually contains symbolic functions. The finite-time synchronization of time-delay complex networks has been discussed in the existing literatures [24, 25], finitetime controllers designed in their papers were generally complex and contained symbolic functions, which may cause chattering during network synchronization. We attempt to design a continuous finite-time controller to realize finite-time control of complex systems with delayed, and we make the effort to propose the simplest finite-time continuous function controller for complex networks with nondelayed coupling.
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