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<p>This paper investigates the bipartite synchronization of fuzzy functional coupled systems with Markov jumps (FFCSMJ) via aperiodically intermittent control (AIC). It is noteworthy that Dupire It<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\hat{\textrm{o}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <mtext>o</mtext> <mo stretchy="false">^</mo> </mover> </math></EquationSource> </InlineEquation>’s formula is firstly employed in researching the bipartite synchronization of FFCSMJ. Additionally, for FFCSMJ, a suitable Lyapunov functional is constructed. Then by utilizing Dupire It<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\hat{\textrm{o}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <mtext>o</mtext> <mo stretchy="false">^</mo> </mover> </math></EquationSource> </InlineEquation>’s formula, and in view of Lyapunov method and graph theory, sufficient conditions are obtained for bipartite synchronization of FFCSMJ. Additionally, the proposed results can be used to investigate fuzzy coupled Chua’s circuits with Markov jumps (FCCCMJs). Eventually, for the sake of certifying the validity and feasibility of the main results, two numerical examples are given.</p>

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Bipartite synchronization of fuzzy functional coupled systems with Markov jumps via intermittent control and Dupire It\(\hat{\text {o}}\)’s formula

  • 期刊论文

  • 发表日期：

    2026年4月7日

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  • Yan Liu,
  • Yuhan Shi,
  • Ning Zhang

摘要

This paper investigates the bipartite synchronization of fuzzy functional coupled systems with Markov jumps (FFCSMJ) via aperiodically intermittent control (AIC). It is noteworthy that Dupire It \(\hat{\textrm{o}}\) o ^ ’s formula is firstly employed in researching the bipartite synchronization of FFCSMJ. Additionally, for FFCSMJ, a suitable Lyapunov functional is constructed. Then by utilizing Dupire It \(\hat{\textrm{o}}\) o ^ ’s formula, and in view of Lyapunov method and graph theory, sufficient conditions are obtained for bipartite synchronization of FFCSMJ. Additionally, the proposed results can be used to investigate fuzzy coupled Chua’s circuits with Markov jumps (FCCCMJs). Eventually, for the sake of certifying the validity and feasibility of the main results, two numerical examples are given.