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Construction of strict Lyapunov–Krasovskii functionals for time-varying time-delay systems
Automatica, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Constructing Lyapunov–Krasovskii functionals for linear positive continuous time difference systems
IMA Journal of Mathematical Control and InformationAbstract In this paper, a linear positive functional difference system with discrete and distributed delays is studied. It is proved that if the considered system is exponentially stable, then it admits both linear and diagonal quadratic Lyapunov–Krasovskii functionals.
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Differential Equations
A coupled system describing the interaction of a differential subsystem with nonlinearities of a sector type and a linear difference subsystem is considered. It is assumed that the system is positive. A diagonal Lyapunov–Krasovskii functional is constructed and conditions are determined under which the absolute stability of the investigated system can ...
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A coupled system describing the interaction of a differential subsystem with nonlinearities of a sector type and a linear difference subsystem is considered. It is assumed that the system is positive. A diagonal Lyapunov–Krasovskii functional is constructed and conditions are determined under which the absolute stability of the investigated system can ...
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Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type
International Journal of Robust and Nonlinear Control, 2022Irina Medvedeva
exaly