A system-theoretic framework for a wide class of systems. I: Applications to numerical analysis
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Publication:864606
DOI10.1016/j.jmaa.2006.05.059zbMath1120.93029OpenAlexW2170564498MaRDI QIDQ864606
Publication date: 12 February 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.059
Stabilization of systems by feedback (93D15) Control/observation systems with incomplete information (93C41) Transformations (93B17) Robust stability (93D09)
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Cites Work
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- Nonlinear control systems: An introduction
- Comments on integral variants of ISS
- Introduction to functional differential equations
- Asymptotic behavior of dynamical and control systems under perturbation and discretization
- Hybrid dynamical systems. Controller and sensor switching problems
- Asymptotic stability equals exponential stability, and ISS equals finite energy gain -- if you twist your eyes.
- Asymptotic controllability and observability imply semiglobal practical asymptotic stabilizability by sampled-data output feedback.
- Stability analysis of digital feedback control systems with time-varying sampling periods
- The non-uniform in time small-gain theorem for a wide class of control systems with outputs
- Asymptotic controllability implies continuous-discrete time feedback stabilizability
- Non-uniform robust global asymptotic stability for discrete-time systems and applications to numerical analysis
- Clocks and Insensitivity to Small Measurement Errors
- Asymptotic controllability implies feedback stabilization
- A Converse Lyapunov Theorem for Nonuniform in Time Global Asymptotic Stability and Its Application to Feedback Stabilization
- Lyapunov Characterizations of Input to Output Stability
- Stabilization by sampled and discrete feedback with positive sampling rate
- A Smooth Converse Lyapunov Theorem for Robust Stability
- Inverse Optimality in Robust Stabilization
- Mathematical Description of Linear Dynamical Systems
- Set-valued analysis
- Robustness analysis of digital feedback control systems with time-varying sampling periods
- A converse Lyapunov theorem for discrete-time systems with disturbances
- Notions of input to output stability
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