Nonlinear H∞ control of structured uncertain stochastic neural networks with discrete and distributed time varying delays
Chen Di-Lan(陈狄岚)a)b)† and Zhang Wei-Dong(张卫东)a)
a Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China; b Division of Basic Courses, Shanghai Maritime University, Shanghai 200135, China
Abstract This paper is concerned with the problem of robust $H_{\infty}$ control for structured uncertain stochastic neural networks with both discrete and distributed time varying delays. A sufficient condition is presented for the existence of $H_{\infty}$ control based on the Lyapunov stability theory. The stability criterion is described in terms of linear matrix inequalities (LMIs), which can be easily checked in practice. An example is provided to demonstrate the effectiveness of the proposed result.
Received: 27 March 2007
Revised: 10 November 2007
Accepted manuscript online:
Fund: Project is supported in part by the
National Natural Science Foundation of China (Grant No 60474031),
NCET (04-0383), the State Key Development Program for Basic Research
of China (Grant No 2002cb312200-3), the Shanghai `Phosphor'
Foundation (Grant No 04Q
Cite this article:
Chen Di-Lan(陈狄岚) and Zhang Wei-Dong(张卫东) Nonlinear H∞ control of structured uncertain stochastic neural networks with discrete and distributed time varying delays 2008 Chin. Phys. B 17 1506
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