Finite time synchronization of Markovian jumping stochastic complex dynamical systems with mix delays via hybrid control strategy

2018 ◽  
Vol 272 ◽  
pp. 683-693 ◽  
Author(s):  
Hongwei Ren ◽  
Feiqi Deng ◽  
Yunjian Peng
Keyword(s):  
Dynamical Systems ◽  
Control Strategy ◽  
Finite Time ◽  
Time Synchronization ◽  
Hybrid Control ◽  
Complex Dynamical Systems ◽  
Markovian Jumping

scholarly journals Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 779
Author(s):  
Tao Chen ◽  
Shiguo Peng ◽  
Zhenhua Zhang
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Sufficient Conditions ◽  
Impulsive Effects ◽  
Markovian Jumping ◽  
Complex Dynamic Systems ◽  
Synchronization Problem ◽  
Analysis Technique ◽  
Lyapunov Function Method

In this paper, we investigate the finite-time synchronization problem for a class of Markovian jumping complex networks (MJCNs) with non-identical nodes and impulsive effects. Sufficient conditions for the MJCNs are presented based on an M-matrix technique, Lyapunov function method, stochastic analysis technique, and suitable comparison systems to guarantee finite-time synchronization. At last, numerical examples are exploited to illustrate our theoretical results, and they testify the effectiveness of our results for complex dynamic systems.

Dynamics and Improved Robust Adaptive Control Strategy for the Finite Time Synchronization of Uncertain Nonlinear Systems

2017 ◽  
Vol 6 (4) ◽  
pp. 34-62 ◽  
Author(s):  
Kammogne Soup Tewa Alain ◽  
Kengne Romanic ◽  
Fotsin Hilaire Bertrand
Keyword(s):  
Adaptive Control ◽  
Control Strategy ◽  
Finite Time ◽  
Time Synchronization ◽  
Robust Adaptive Control ◽  
Adaptive Robust Control ◽  
Stability And Convergence ◽  
Slave System ◽  
Robust Adaptive ◽  
Adaptive Control Strategy

This letter addresses a robust adaptive control for the synchronization method based on a modified polynomial observer (slave system) which tends to follow exponentially the chaotic Colpitts circuits brought back to a topology of the Chua oscillator (master system) with perturbations. The authors derive some less stringent conditions for the exponential and asymptotic stability of adaptive robust control systems at finite time. They provide a proof of stability and convergence (hence, that synchronization takes place) via Lyapunov stability method. That is, the observer (slave system) must synchronize albeit noisy measurements and reject the effect of perturbations on the system dynamics. To highlight their contribution, the authors also present some simulation results with the purpose to compare the proposed method to the classical polynomial observer. Finally, numerical results are used to show the robustness and effectiveness of the proposed control strategy.

HYBRID CONTROL OF BIFURCATION IN CONTINUOUS NONLINEAR DYNAMICAL SYSTEMS

2005 ◽  
Vol 15 (12) ◽  
pp. 3895-3903 ◽  
Author(s):  
ZENGRONG LIU ◽  
K. W. CHUNG
Keyword(s):  
Dynamical System ◽  
Hopf Bifurcation ◽  
Dynamical Systems ◽  
Control Strategy ◽  
State Feedback ◽  
Hybrid Control ◽  
Nonlinear Dynamical Systems ◽  
Parameter Perturbation ◽  
Nonlinear Dynamical ◽  
Dimensional Dynamical System

In this paper, a new hybrid control strategy is proposed, in which state feedback and parameter perturbation are used to control the bifurcations of continuous dynamical systems. The hybrid control can be applied to any component of a several dimensional dynamical system and is still effective even when the system becomes chaotic. Our results show that various bifurcations, such as Hopf bifurcation and Poincaré bifurcation, can be controlled by means of this method.

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