Abstract
This paper considers the problem of delay-range-dependent stability analysis for a class of delayed recurrent neural networks (DRNNs) with a time-varying delay in a range. Based on the Lyapunov-Krasovskii functional and derive the time derivative of this with integral inequality approach (IIA), new delay-dependent stability criteria for the system are established in terms of linear matrix inequalities (LMIs), which can be solved easily by various efficient convex optimization algorithms. Information about the lower bound of the delay is fully used in the Lyapunov functional. Two examples are given to illustrate the effectiveness and the reduced conservatism of the proposed results.
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Recommended by Associate Editor Soohee Han under the direction of Editor PooGyeon Park.
Pin-Lin Liu received his B.S., M.S. and Ph.D. degrees from the National Changhua University of Education, Taiwan, in 1986, 1990, and 2001, respectively. In 1990, he joined the Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Taiwan, where he is currently an Associate Professor. His research interests include time delay systems, robust control, green energy and its application.
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Liu, PL. Further Improvement on Delay-range-dependent Stability Criteria for Delayed Recurrent Neural Networks with Interval Time-varying Delays. Int. J. Control Autom. Syst. 16, 1186–1193 (2018). https://doi.org/10.1007/s12555-016-0359-1
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DOI: https://doi.org/10.1007/s12555-016-0359-1