Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions
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Publication:326801
DOI10.3934/mcrf.2016011zbMath1370.37157arXiv1406.2458OpenAlexW2479300520MaRDI QIDQ326801
Publication date: 12 October 2016
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.2458
Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Input-output approaches in control theory (93D25) Control/observation systems in abstract spaces (93C25) Dynamical systems in control (37N35)
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Cites Work
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- Linear port-Hamiltonian systems on infinite-dimensional spaces.
- ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
- Strict Lyapunov functions for semilinear parabolic partial differential equations
- On characterizations of the input-to-state stability property
- A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections
- A Lyapunov--Krasovskii methodology for ISS and iISS of time-delay systems
- A tight small-gain theorem for not necessarily ISS systems
- Local input-to-state stability: characterizations and counterexamples
- Comments on integral variants of ISS
- Geometric theory of semilinear parabolic equations
- Small-gain theorem for ISS systems and applications
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- Input-to-state stability of infinite-dimensional control systems
- Infinite-dimensional feedback systems: the circle criterion and input-to-state stability
- An ISS small gain theorem for general networks
- Stabilization of Well-Posed Infinite-Dimensional Systems by Dynamic Sampled-Data Feedback
- Input-to-State Stability of Nonlinear Impulsive Systems
- A new small-gain theorem with an application to the stabilization of the chemostat
- A vector small-gain theorem for general non-linear control systems
- Construction of Lyapunov Functions for Interconnected Parabolic Systems: An iISS Approach
- A characterization of integral input-to-state stability
- Smooth stabilization implies coprime factorization
- Changing supply functions in input/state stable systems
- A Smooth Converse Lyapunov Theorem for Robust Stability
- Necessary and Sufficient Small Gain Conditions for Integral Input-to-State Stable Systems: A Lyapunov Perspective
- A Lyapunov Approach to Cascade Interconnection of Integral Input-to-State Stable Systems
- State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems
- Robust Stability of Networks of iISS Systems: Construction of Sum-Type Lyapunov Functions
- Robust nonlinear control design. State-space and Lyapunov techniques
- Input-to-state stability for discrete-time nonlinear systems
- Constructive nonlinear control: a historical perspective
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