The non-uniform in time small-gain theorem for a wide class of control systems with outputs
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Publication:2511909
DOI10.3166/ejc.10.307-323zbMath1293.93629OpenAlexW1997102812MaRDI QIDQ2511909
Publication date: 7 August 2014
Published in: European Journal of Control (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/5dc91cfc311871cd947cfc77cf6b911eff959bd4
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Cites Work
- Unnamed Item
- Unnamed Item
- A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections
- Nonlinear small-gain theorems for discrete-time feedback systems and applications
- Comments on integral variants of ISS
- Introduction to functional differential equations
- Small-gain theorem for ISS systems and applications
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
- A Converse Lyapunov Theorem for Nonuniform in Time Global Asymptotic Stability and Its Application to Feedback Stabilization
- Lyapunov Characterizations of Input to Output Stability
- A nonlinear small gain theorem for the analysis of control systems with saturation
- Smooth stabilization implies coprime factorization
- Necessary and sufficient conditions for the existence of stabilizing feedback for control systems
- Nonuniform in Time Input-to-State Stability and the Small-Gain Theorem
- Mathematical Description of Linear Dynamical Systems
- Input-to-state stability for discrete-time nonlinear systems
- A converse Lyapunov theorem for discrete-time systems with disturbances
- Forward completeness, unboundedness observability, and their Lyapunov characterizations
- Notions of input to output stability
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