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Complete type Lyapunov-Krasovskii functionals with a given cross term in the time derivative

Proceedings of the 44th IEEE Conference on Decision and Control, 2006
A general expression for the complete type quadratic Lyapunov-Krasovskii functional with a given cross term in the time derivative is presented. Some robust stability conditions and exponential estimates are obtained.
Sabine Mondié   +2 more
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Construction of Lyapunov–Krasovskii Functionals for Nonlinear Mechanical Systems with Delay

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB), 2020
New constructions of Lyapunov–Krasovskii functionals are proposed for certain classes of nonlinear mechanical systems with delay. With the aid of these functionals, stability conditions of equilibrium positions and estimates of transient times, as well as stability conditions for corresponding systems with switching force fields are obtained.
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New Lyapunov–Krasovskii functionals for stability of linear retarded and neutral type systems

Systems & Control Letters, 2001
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Construction of strict Lyapunov–Krasovskii functionals for time-varying time-delay systems

Automatica, 2019
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Constructing Lyapunov–Krasovskii functionals for linear positive continuous time difference systems

IMA Journal of Mathematical Control and Information
Abstract 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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Construction of Diagonal Lyapunov–Krasovskii Functionals for a Class of Positive Differential-Algebraic Systems

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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