Estimate of the domain of attraction for interconnected systems
From MaRDI portal
Publication:2025555
DOI10.1016/j.cnsns.2021.105823zbMath1464.93065OpenAlexW3137373462MaRDI QIDQ2025555
Publication date: 14 May 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105823
Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Input-output approaches in control theory (93D25) Asymptotic stability in control theory (93D20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Capability and limitation of max- and sum-type construction of Lyapunov functions for networks of iISS systems
- On characterizations of the input-to-state stability property
- A tight small-gain theorem for not necessarily ISS systems
- Local ISS of large-scale interconnections and estimates for stability regions
- Comments on integral variants of ISS
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- An ISS small gain theorem for general networks
- A Generalization of Zubov's Method to Perturbed Systems
- Input-to-State Stability of Nonlinear Impulsive Systems
- A regularization of Zubov’s equation for robust domains of attraction
- Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
- Control Lyapunov Functions and Zubov's Method
- A characterization of integral input-to-state stability
- Smooth stabilization implies coprime factorization
- 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
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
This page was built for publication: Estimate of the domain of attraction for interconnected systems
