Stability of homogeneous systems with distributed delay and time-varying perturbations
From MaRDI portal
Publication:6110311
DOI10.1016/j.automatica.2023.111058zbMath1520.93413OpenAlexW4295971614MaRDI QIDQ6110311
Alexander Yurjevich Aleksandrov, Denis V. Efimov, Eh. M. Fridman
Publication date: 5 July 2023
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2023.111058
Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Asymptotic stability in control theory (93D20) Delay control/observation systems (93C43)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recent developments on the stability of systems with aperiodic sampling: an overview
- Stabilization of control systems with aftereffect
- On input-to-state stability of systems with time-delay: a matrix inequalities approach
- Homogeneous Lyapunov function for homogeneous continuous vector field
- Theory of functional differential equations. 2nd ed
- Stability theory by Liapunov's direct method
- On a modification of the PID controller
- Time-delay systems: an overview of some recent advances and open problems.
- On the asymptotic stability of solutions of nonlinear systems with delay
- A modified PID controller (\(PII _{\sigma} ^{\beta} D\)).
- \( L_2\)-gain analysis via time-delay approach to periodic averaging with stochastic extension
- Converse Lyapunov-Krasovskii theorem for ISS of neutral systems in Sobolev spaces
- Dissipative stabilization of linear systems with time-varying general distributed delays
- Averaging of linear systems with almost periodic coefficients: a time-delay approach
- Delay-independent stability of homogeneous systems
- New stability conditions for systems with distributed delays
- Generalized homogeneous systems with applications to nonlinear control: a survey
- Lyapunov-Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form
- A note on delay robustness for homogeneous systems with negative degree
- Introduction to time-delay systems. Analysis and control
- Integral partitioning approach to robust stabilization for uncertain distributed time-delay systems
- Weighted Homogeneity for Time-Delay Systems: Finite-Time and Independent of Delay Stability
- Development of Homogeneity Concept for Time-Delay Systems
- Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
- Robust H/sub ∞/ control of distributed delay systems with application to combustion control
- Stabilization of Nonlinear Delay Systems: A Tutorial on Recent Results
- Homogeneous Lyapunov Functions: From Converse Design to Numerical Implementation
- Stability of time-delay systems
- Liapunov functions and stability in control theory
- Homogeneity, Forward Completeness, and Global Stabilization of a Family of Time-Delay Nonlinear Systems by Memoryless Non-Lipschitz Continuous Feedback
- Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals
