Exponential stability of state-dependent impulsive Hopfield neural networks with beating phenomena.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 40674790.
- Also identified by DOI 10.1016/j.neunet.2025.107849.
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Abstract
This paper establishes the exponential stability for state-dependent impulsive Hopfield neural networks with beating phenomena. Based on the assumptions, arbitrary trajectory of state-dependent impulsive systems (SDISs) intersects each impulsive surface only a finite number of times, and we extend the B-equivalence method to reformulate SDISs as fixed-time impulsive systems (FTISs). Two sets of sufficient conditions are derived to ensure the exponential stability of SDISs. Additionally, the stability properties of reduced FTISs are discussed. Numerical examples validate the theoretical results.
Medical subject headings
- Neural Networks, Computer