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<p>Original approaches to the construction of complete type Lyapunov–Krasovskii functionals for nonlinear systems with unbounded delay are developed. Homogeneous systems, complex systems describing interaction of linear subsystems, and strongly nonlinear homogeneous systems are included in the class of consideration. The Lur’e indirect control systems with sector nonlinearities of power type and mechanical systems with homogeneous positional forces are analysed. Using the proposed constructions of functionals, new asymptotic stability conditions for the considered systems are determined. Bibliography: 22 titles.</p>

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CONSTRUCTING COMPLETE TYPE LYAPUNOV–KRASOVSKII FUNCTIONALS FOR SOME CLASSES OF NONLINEAR TIME-DELAY SYSTEMS

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Alexander Aleksandrov

摘要

Original approaches to the construction of complete type Lyapunov–Krasovskii functionals for nonlinear systems with unbounded delay are developed. Homogeneous systems, complex systems describing interaction of linear subsystems, and strongly nonlinear homogeneous systems are included in the class of consideration. The Lur’e indirect control systems with sector nonlinearities of power type and mechanical systems with homogeneous positional forces are analysed. Using the proposed constructions of functionals, new asymptotic stability conditions for the considered systems are determined. Bibliography: 22 titles.