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

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

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. In addition, new exponential stability...

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Veröffentlicht in:IMA journal of mathematical control and information 2024-12, Vol.41 (4), p.634-646
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description 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. In addition, new exponential stability conditions for switched linear positive functional difference systems are obtained on the basis of a constructive approach to the design of common Lyapunov–Krasovskii functionals for the associated families of subsystems.
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source Oxford University Press Journals All Titles (1996-Current)
title Constructing Lyapunov–Krasovskii functionals for linear positive continuous time difference systems
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