Title :
Exponential Stabilization of Memristive Neural Networks With Time Delays
Author :
Ailong Wu ; Zhigang Zeng
Author_Institution :
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
In this paper, a general class of memristive neural networks with time delays is formulated and studied. Some sufficient conditions in terms of linear matrix inequalities are obtained, in order to achieve exponential stabilization. The result can be applied to the closed-loop control of memristive systems. In particular, several succinct criteria are given to ascertain the exponential stabilization of memristive cellular neural networks. In addition, a simplified and effective algorithm is considered for design of the optimal controller. These conditions are the improvement and extension of the existing results in the literature. Two numerical examples are given to illustrate the theoretical results via computer simulations.
Keywords :
asymptotic stability; cellular neural nets; closed loop systems; control system synthesis; delays; linear matrix inequalities; memristors; optimal control; closed loop control; exponential stabilization; linear matrix inequality; memristive cellular neural network; optimal controller design; succinct criteria; sufficient conditions; time delay; Biological neural networks; Cellular neural networks; Linear matrix inequalities; Memristors; Numerical models; Switches; Hybrid systems; memristive neural networks; optimal control; stabilization;
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
DOI :
10.1109/TNNLS.2012.2219554