PERIODICITY AND FIXED-TIME STABILIZATION OF DISCONTINUOUS NEURAL NETWORKS WITH MIXED DELAYS: UNBOUNDED DELAY-DEPENDENT CRITERIA

  • Ziwei WANG ,
  • Lin SUN ,
  • Fanchao KONG ,
  • Rathinasamy SAKTHIVEL
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  • 1. School of Finance, Hunan University of Finance and Economics, Changsha 410205, China;
    2. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241000, China;
    3. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India
Ziwei WANG, E-mail: hnu517@163.com; Lin SUN, E-mail: 43356972@qq.com; Rathinasamy SAKTHIVEL, E-mail: krsakthivel0209@gmail.com

Received date: 2023-08-11

  Revised date: 2024-05-15

  Online published: 2025-09-30

Supported by

Social Science Fund of Hunan province (Grant No.22JD074) and the Research Foundation of Education Bureau of Hunan province (Grant No.22B0912).

Abstract

In this paper, a class of discontinuous neutral-type neural networks (NTNNs) with proportional delays is considered. The targets of the paper are to study the problem of periodic solutions and fixed-time (FXT) stabilization of the addressed neural networks. In order to complete the targets, based on set-valued map, differential inclusions theory, coincidence theorem and Hölder inequality technique, some new proportional delay-dependent criteria shown by the inequalities are derived. Based on the fact of the existence of solution, further by applying the FXT stability lemmas and equivalent transformation, the zero solution of closed-loop system achieves FXT stabilization and the corresponding settling-times are estimated. Some previous related works on NTNNs are extended. Finally, one typical example is provided to show the effectiveness of the established results.

Cite this article

Ziwei WANG , Lin SUN , Fanchao KONG , Rathinasamy SAKTHIVEL . PERIODICITY AND FIXED-TIME STABILIZATION OF DISCONTINUOUS NEURAL NETWORKS WITH MIXED DELAYS: UNBOUNDED DELAY-DEPENDENT CRITERIA[J]. Acta mathematica scientia, Series B, 2025 , 45(3) : 1188 -1204 . DOI: 10.1007/s10473-025-0323-3

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