Synthesis of discretized Lyapunov functional method and the Lyapunov matrix approach for linear time delay systems
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Publication:6659161
DOI10.1016/J.AUTOMATICA.2024.111793MaRDI QIDQ6659161
Irina V. Alexandrova, Aleksandr I. Belov
Publication date: 8 January 2025
Published in: Automatica (Search for Journal in Brave)
linear systemsdelayexponential stabilityLyapunov-Krasovskii functionalsLyapunov matricesdiscretized Lyapunov functional methodfinite stability criteria
Cites Work
- Title not available (Why is that?)
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- Title not available (Why is that?)
- Further results on stability of \(\dot x(t)=Ax(t)+Bx(t-\tau)\)
- Time-delay systems. Lyapunov functionals and matrices
- Hierarchy of LMI conditions for the stability analysis of time-delay systems
- Generalization of Liapunov's theorem in a linear delay system
- A Liapunov functional for a matrix difference-differential equation
- Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
- Stability of neutral type delay systems: a joint Lyapunov-Krasovskii and Razumikhin approach
- Necessary stability conditions for linear delay systems
- Synthesis of Razumikhin and Lyapunov-Krasovskii approaches to stability analysis of time-delay systems
- Critical frequencies and parameters for linear delay systems: a Lyapunov matrix approach
- Complete Quadratic Lyapunov-Krasovskii Functional: Limitations, Computational Efficiency, and Convergence
- Positive Forms and Stability of Linear Time-Delay Systems
- Stability of x(t)=Ax(t)+Bx(t- tau )
- Discretized LMI set in the stability problem of linear uncertain time-delay systems
- Discretized Lyapunov functional for uncertain systems with multiple time-delay
- Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type
- Characterizing and Computing the ${\cal H}_{2}$ Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation
- Quadratic liapunov functionals for systems with delay
- Stability of time-delay systems
- New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
- A finite Lyapunov matrix-based stability criterion for linear delay systems via piecewise linear approximation
- A new stability criterion and its application to robust stability analysis for linear systems with distributed delays
- Necessary and Sufficient Stability Condition for Time-Delay Systems Arising From Legendre Approximation
- Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems
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