Global Robust Stabilizing Control for a Dynamic Neural Network System
| Autor: | Ziqian Liu, Stephen C. Shih, Qunjing Wang |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Lyapunov stability
Class (computer programming) Mathematical optimization Control (management) Inverse Computer Science Applications Human-Computer Interaction Nonlinear system Exponential stability Control and Systems Engineering Control theory Affine transformation Electrical and Electronic Engineering Robust control Software Mathematics |
| Zdroj: | IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans. 39:426-436 |
| ISSN: | 1558-2426 1083-4427 |
| Popis: | This paper presents a new approach for the global robust stabilizing control of a class of dynamic neural network systems. This approach is developed via Lyapunov stability and inverse optimality, which circumvents the task of solving a Hamilton-Jacobi-Isaacs equation. The primary contribution of this paper is the development of a nonlinear Hinfin control design for a class of dynamic neural network systems, which are usually used in the modeling and control of nonlinear affine systems with unknown nonlinearities. The proposed Hinfin control design achieves global inverse optimality with respect to some meaningful cost functional, global disturbance attenuation, and global asymptotic stability provided that no disturbance occurs. Finally, four numerical examples are used to demonstrate the effectiveness of the proposed approach. |
| Databáze: | OpenAIRE |
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