Robust stabilization for a class of nonlinear systems via a single input control applicable to chaotic systems and its circuit implementation

2013 ◽  
Vol 23 (2) ◽  
pp. 023127 ◽  
Author(s):  
Yeong-Jeu Sun ◽  
Yu-Biaw Wu ◽  
Ching-Cheng Wang
Keyword(s):  
Nonlinear Systems ◽  
Chaotic Systems ◽  
Robust Stabilization ◽  
Circuit Implementation ◽  
Input Control ◽  
Single Input

scholarly journals Data-Driven Robust Stabilization with Robust DOA Enlargement for Nonlinear Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 5877-5882
Author(s):  
Chaolun Lu ◽  
Yongqiang Li ◽  
Zhongsheng Hou ◽  
Yuanjing Feng ◽  
Yu Feng ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Robust Stabilization ◽  
Data Driven

scholarly journals Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Muhammad Rehan ◽  
Keum-Shik Hong
Keyword(s):  
Electrical Stimulation ◽  
Nonlinear Control ◽  
Control Law ◽  
Input Control ◽  
Control Schemes ◽  
Multiple Input ◽  
Cognitive Diseases ◽  
Single Input ◽  
Error Dynamics ◽  
Nonlinear Control Law

Synchronization of chaotic neurons under external electrical stimulation (EES) is studied in order to understand information processing in the brain and to improve the methodologies employed in the treatment of cognitive diseases. This paper investigates the dynamics of uncertain coupled chaotic delayed FitzHugh-Nagumo (FHN) neurons under EES for incorporated parametric variations. A global nonlinear control law for synchronization of delayed neurons with known parameters is developed. Based on local and global Lipschitz conditions, knowledge of the bounds on the neuronal states, the Lyapunov-Krasovskii functional, and theL2gain reduction, a less conservative local robust nonlinear control law is formulated to address the problem of robust asymptotic synchronization of delayed FHN neurons under parametric uncertainties. The proposed local control law guarantees both robust stability and robust performance and provides theL2bound for uncertainty rejection in the synchronization error dynamics. Separate conditions for single-input and multiple-input control schemes for synchronization of a wide class of FHN systems are provided. The results of the proposed techniques are verified through numerical simulations.

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