A system-theoretic framework for a wide class of systems. II: Input-to-output stability
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Publication:864707
DOI10.1016/j.jmaa.2006.05.060zbMath1117.93064OpenAlexW2159795735MaRDI QIDQ864707
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.2006.05.060
Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (15)
Continuous observer design for a class of multi-output nonlinear systems with multi-rate sampled and delayed output measurements ⋮ Input-to-state stability of infinite-dimensional control systems ⋮ Stability and control of nonlinear systems described by retarded functional equations: a review of recent results ⋮ Global stability results for systems under sampled-data control ⋮ Global output stability for systems described by retarded functional differential equations: Lyapunov characterizations ⋮ Input-to-output stability for systems described by retarded functional differential equations ⋮ Nash equilibrium and robust stability in dynamic games: a small-gain perspective ⋮ Weighted input-to-output practical stability of non-autonomous infinite-dimensional systems with disturbances ⋮ Unnamed Item ⋮ A new Lyapunov–Krasovskii methodology for coupled delay differential and difference equations ⋮ Robust global stabilization by means of discrete-delay output feedback ⋮ Robust global stabilisability by means of sampled-data control with positive sampling rate ⋮ Continuous output feedback stabilization for nonlinear systems based on sampled and delayed output measurements ⋮ A new small-gain theorem with an application to the stabilization of the chemostat ⋮ Quasi-ISS/ISDS observers for interconnected systems and applications
Cites Work
- Unnamed Item
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- On characterizations of the input-to-state stability property
- A system-theoretic framework for a wide class of systems. I: Applications to numerical analysis
- 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 controllability and observability imply semiglobal practical asymptotic stabilizability by sampled-data output feedback.
- Stabilization in spite of matched unmodeled dynamics and equivalent definition of input-to-state stability
- 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
- 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
- The Liapunov's second method for continuous time difference equations
- Lyapunov Characterizations of Input to Output Stability
- Global Asymptotic Controllability Implies Input-to-State Stabilization
- Stabilization by sampled and discrete feedback with positive sampling rate
- New characterizations of input-to-state stability
- Smooth stabilization implies coprime factorization
- Nonuniform in Time Input-to-State Stability and the Small-Gain Theorem
- Non-uniform in time robust global asymptotic output stability for discrete-time systems
- Mathematical Description of Linear Dynamical Systems
- Input-to-state stability for discrete-time nonlinear systems
- 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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