Linear Matrix Inequality Optimization Approach to Exponential Robust Filtering for Switched Hopfield Neural Networks
Choon Ki Ahn ()
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Choon Ki Ahn: Seoul National University of Science & Technology
Journal of Optimization Theory and Applications, 2012, vol. 154, issue 2, No 13, 573-587
Abstract:
Abstract This paper is concerned with the delay-dependent exponential robust filtering problem for switched Hopfield neural networks with time-delay. A new delay-dependent switched exponential robust filter is proposed that results in an exponentially stable filtering error system with a guaranteed robust performance. The design of the switched exponential robust filter for these types of neural networks can be achieved by solving a linear matrix inequality (LMI), which can be easily facilitated using standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed filter.
Keywords: $\mathcal{H}_{\infty}$ filtering; Switched systems; Exponential stability; Hopfield neural networks; Linear matrix inequality (LMI); Lyapunov–Krasovskii stability theory (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0008-7
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