Decentralized feedback control of uncertain cellular neural networks subject to time-varying delays and dead-zone input

• Published in: Mathematical and computer modelling Vol. 49; no. 1; pp. 386 - 392
• Main Author: Cheng, Chao-Jung
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 2009; Elsevier
• Subjects: Cellular neural networks; Dead-zone input; Decentralize feedback control; Exact sciences and technology; Global analysis, analysis on manifolds; Mathematical analysis; Mathematics; Methods of scientific computing (including symbolic computation, algebraic computation); Numerical analysis. Scientific computation; Ordinary differential equations; Sciences and techniques of general use; Time-varying delays; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Dead-zone input; Decentralize feedback control; Time-varying delays; Cellular neural networks; Scientific computation; Feedback; Applied mathematics; Lyapunov stability; Neural network; Mathematical model; Numerical stability; Computer aided analysis
• ISSN: 0895-7177; 1872-9479
• DOI: 10.1016/j.mcm.2008.03.008

This paper investigates the stabilization problem for uncertain cellular neural networks (CNNs) subject to time-varying delays and dead-zone input. On the basis of Lyapunov stability theory, a memoryless decentralized feedback control law is derived for guaranteeing global exponential stability of the system. The main results illustrate that the derived control law does not impose restriction on the derivative of the time-varying delays and can be applied to stabilizing the uncertain CNNs with time-varying delays and dead-zone input. An illustrative example is given to justify the validity and feasibility of the proposed control scheme.