Adaptive Learning Control for Nonlinearly Parameterized Systems with Periodically Time-varying Delays

2009 ◽  
Vol 34 (12) ◽  
pp. 1556-1560 ◽  
Author(s):  
Wei-Sheng CHEN ◽  
Yuan-Liang WANG ◽  
Jun-Min LI
Keyword(s):  
Adaptive Learning ◽  
Learning Control ◽  
Time Varying ◽  
Parameterized Systems ◽  
Nonlinearly Parameterized Systems ◽  
Nonlinearly Parameterized ◽  
Adaptive Learning Control

scholarly journals Adaptive hybrid function projective synchronization of chaotic systems with fully unknown periodical time-varying parameters

2019 ◽  
Vol 18 (1) ◽  
pp. 112-128
Author(s):  
Jinsheng Xing
Keyword(s):  
Adaptive Learning ◽  
Chaotic Systems ◽  
Learning Control ◽  
Projective Synchronization ◽  
Time Varying ◽  
Hybrid Functional ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Adaptive Learning Control ◽  
Different Chaotic Systems

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 the states of two different chaotic systems asymptotically synchronized in the sense of mean square norm. Moreover, the boundedness of the parameter estimates are also obtained. The Lorenz system and Chen system are illustrated to show the effectiveness of the hybrid functional projective synchronization scheme.

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