Asymptotical Stability for a Class of Complex-Valued Projective Neural Network

Jin-dong Li () and Nan-jing Huang ()
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Jin-dong Li: Sichuan University
Nan-jing Huang: Sichuan University

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 1, No 13, 270 pages

Abstract: Abstract In this paper, a new class of complex-valued projective neural network is introduced and studied on a nonempty, closed, and convex subset of a finite-dimensional complex space. An existence and uniqueness result for the equilibrium point of complex-valued projective neural network is proved under some suitable conditions. Moreover, by utilizing the linear matrix inequality technique, some sufficient conditions are presented to ensure the asymptotical stability of the complex-valued projective neural network. Finally, two examples are given to illustrate the validity and feasibility of main results.

Keywords: Complex-valued projective neural network; Equilibrium point; Linear matrix inequality technique; Homeomorphism method; Asymptotical stability; 49J40; 34K20; 92B20 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-018-1252-2

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