Complete type functionals for homogeneous time delay systems
From MaRDI portal
Publication:2663955
DOI10.1016/J.AUTOMATICA.2020.109456zbMath1461.93288OpenAlexW3118605997MaRDI QIDQ2663955
Irina V. Alexandrova, Alexey P. Zhabko
Publication date: 20 April 2021
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2020.109456
instabilitytime delayasymptotic stabilitystability criteriahomogeneous systemsLyapunov-Krasovskii functionals
Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Delay control/observation systems (93C43)
Related Items (3)
Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov–Krasovskii and Lyapunov–Razumikhin techniques ⋮ Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type ⋮ A new robust adaptive tracking strategy to uncertain time-delay nonlinear systems with a general form
Cites Work
- Unnamed Item
- Time-delay systems. Lyapunov functionals and matrices
- Complete quadratic Lyapunov functionals for distributed delay systems
- Homogeneous Lyapunov function for homogeneous continuous vector field
- Introduction to functional differential equations
- On the asymptotic stability of solutions of nonlinear systems with delay
- Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
- Synthesis of Razumikhin and Lyapunov-Krasovskii approaches to stability analysis of time-delay systems
- Delay-independent stability of homogeneous systems
- Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays
- A note on delay robustness for homogeneous systems with negative degree
- Verification of ISS, iISS and IOSS properties applying weighted homogeneity
- Critical frequencies and parameters for linear delay systems: a Lyapunov matrix approach
- Weighted Homogeneity for Time-Delay Systems: Finite-Time and Independent of Delay Stability
- Delay-Independent Stability Conditions for Some Classes of Nonlinear Systems
- Development of Homogeneity Concept for Time-Delay Systems
- Homogeneous Approximation, Recursive Observer Design, and Output Feedback
- Characterizing and Computing the ${\cal H}_{2}$ Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation
- Estimates of the attraction region for a class of nonlinear time-delay systems
- New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
This page was built for publication: Complete type functionals for homogeneous time delay systems