Reachable set bounding for delayed systems with polytopic uncertainties: the maximal Lyapunov-Krasovskii functional approach
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Publication:980935
DOI10.1016/j.automatica.2010.02.022zbMath1191.93127OpenAlexW2036143902MaRDI QIDQ980935
Zhiqiang Zuo, Daniel W. C. Ho, Yi-Jing Wang
Publication date: 8 July 2010
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2010.02.022
Control/observation systems with incomplete information (93C41) Lyapunov and storage functions (93D30) Attainable sets, reachability (93B03)
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Cites Work
- Unnamed Item
- Unnamed Item
- Delay-range-dependent stability for systems with time-varying delay
- Theory of functional differential equations. 2nd ed
- Time-delay systems: an overview of some recent advances and open problems.
- On reachable sets for linear systems with delay and bounded peak inputs.
- Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances
- Linear Matrix Inequalities in System and Control Theory
- Stability and Performance for Saturated Systems via Quadratic and Nonquadratic Lyapunov Functions
- New Results on Stability of Discrete-Time Systems With Time-Varying State Delay
- A linear matrix inequality approach to peak-to-peak gain minimization
- Stability of time-delay systems
- Control systems with actuator saturation: analysis and design