Adaptive functional projective lag synchronization of Lorenz system
نویسنده
چکیده
This paper addresses functional projective lag synchronization of Lorenz system with four unknown parameters, where the output of the master system lags behind the output of the slave system proportionally. For this purpose, an adaptive control law is proposed to make the states of two identical Lorenz systems asymptotically synchronize up. Based on Lyapunov stability theory, a novel criterion is given for asymptotical stability of the null solution of an error dynamics. Finally, some numerical examples are provided to show the effectiveness of our results. Keywords—Adaptive function projective synchronization, Chaotic system, Lag synchronization, Lyapunov method
منابع مشابه
Adaptive hybrid function projective synchronization of chaotic systems with fully unknown periodical time-varying parameters∗
Abstract. In this paper, an adaptive learning control approach is presented for the hybrid functional projective synchronization (HFPS) of different chaotic systems with fully unknown periodical time-varying parameters. Differential-difference hybrid parametric learning laws and an adaptive learning control law are constructed via the Lyapunov–Krasovskii functional stability theory, which make ...
متن کاملAdaptive Lag Synchronization of Lorenz Chaotic System with Uncertain Parameters
The paper discusses lag synchronization of Lorenz chaotic system with three uncertain parameters. Based on adaptive technique, the lag synchronization of Lorenz chaotic system is achieved by designing a novel nonlinear controller. Furthermore, the parameters identification is realized simultaneously. A sufficient condition is given and proved theoreticcally by Lyapunov stability theory and LaSa...
متن کاملAdaptive Modified Function Projective Synchronization between Two Different Hyperchaotic Dynamical Systems
This work investigates modified function projective synchronization between two different hyperchaotic dynamical systems, namely, hyperchaotic Lorenz system and hyperchaotic Chen system with fully unknown parameters. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived to achieve modified function projective synchronized between two diffierent hy...
متن کاملParameters Identification and Projective Dislocated Lag Synchronization of Liu Chaotic System via Adaptive Control
A new type of chaos synchronization, projective dislocated lag synchronization, is investigated of Liu chaotic system under the framework of response system with five uncertain parameters. Based on adaptive technique, the projective dislocated lag synchronization of Liu chaotic system is achieved by designing a novel nonlinear controller. Furthermore, the parameters identification is realized s...
متن کاملAdaptive Hybrid Function Projective Synchronization of Chaotic Systems with Time-Varying Parameters
The adaptive hybrid function projective synchronization AHFPS of different chaotic systems with unknown time-varying parameters is investigated. Based on the Lyapunov stability theory and adaptive bounding technique, the robust adaptive control law and the parameters update law are derived to make the states of two different chaotic systems asymptotically synchronized. In the control strategy, ...
متن کامل