On input-to-state stability of systems with time-delay: a matrix inequalities approach
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Publication:999048
DOI10.1016/j.automatica.2008.01.012zbMath1153.93502OpenAlexW2102891752MaRDI QIDQ999048
Nima Yeganefar, Michel Dambrine, Eh. M. Fridman
Publication date: 30 January 2009
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2008.01.012
Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Robust sampled-data stabilization of linear systems: an input delay approach
- A Lyapunov--Krasovskii methodology for ISS and iISS of time-delay systems
- On Lyapunov - Krasovskii functionals under Carathéodory conditions
- Quadratic stabilization of sampled-data systems with quantization.
- Linear Matrix Inequalities in System and Control Theory
- Robustness analysis and synthesis for nonlinear uncertain systems
- Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
- Smooth stabilization implies coprime factorization
- Improved delay-dependent stability criteria for time-delay systems
- <tex>$H_infty$</tex>Control of Linear Uncertain Time-Delay Systems—A Projection Approach
- Quantization, Time Delays, and Nonlinear Stabilization
- Stability of time-delay systems
- New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
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