scholarly journals Memoryless state observer-based adaptive control for uncertain nonlinear systems with multiple time delays

2010 ◽  
Vol 59 (9) ◽  
pp. 5925
Author(s):  
Guo Peng ◽  
Hu Hui ◽  
Liu Guo-Rong ◽  
Hu Jun-Da
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Time Delays ◽  
State Observer ◽  
Multiple Time ◽  
Uncertain Nonlinear Systems ◽  
Multiple Time Delays

Analysis and adaptive control for robust synchronization andH∞synchronization of complex dynamical networks with multiple time-delays

2018 ◽  
Vol 289 ◽  
pp. 241-251 ◽  
Author(s):  
Zhen Qin ◽  
Jin-Liang Wang ◽  
Yan-Li Huang ◽  
Shun-Yan Ren
Keyword(s):  
Adaptive Control ◽  
Time Delays ◽  
Complex Dynamical Networks ◽  
Multiple Time ◽  
Dynamical Networks ◽  
Multiple Time Delays ◽  
Robust Synchronization

Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system

2016 ◽  
Vol 9 (2) ◽  
pp. 205-216 ◽  
Author(s):  
Ping He ◽  
Tao Fan
Keyword(s):  
Nonlinear Systems ◽  
Time Delays ◽  
Chaos Synchronization ◽  
Linear Matrix ◽  
Multiple Time ◽  
Content Type ◽  
Multiple Time Delays ◽  
Rossler System ◽  
Rössler System ◽  
And Algebra

Purpose – The purpose of this paper is with delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system. Design/methodology/approach – Based on linear matrix inequality and algebra Riccati matrix equation, the stabilization result is derived to guarantee asymptotically stable and applicated in chaos synchronization of Rössler chaotic system with multiple time-delays. Findings – A controller is designed and added to the nonlinear system with multiple time-delays. The stability of the nonlinear system at its zero equilibrium point is guaranteed by applying the appropriate controller signal based on linear matrix inequality and algebra Riccati matrix equation scheme. Another effective controller is also designed for the global asymptotic synchronization on the Rössler system based on the structure of delay-independent stabilization of nonlinear systems with multiple time-delays. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme. Originality/value – The introduced approach is interesting for delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system.

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