Necessary conditions for global asymptotic stability of networks of iISS systems
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Publication:422411
DOI10.1007/s00498-012-0077-zzbMath1238.93087OpenAlexW1999852050MaRDI QIDQ422411
Publication date: 16 May 2012
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00498-012-0077-z
integral input-to-state stabilitydissipation inequalitiesdynamical networkslarge-scale nonlinear systems
Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Asymptotic stability in control theory (93D20) Large-scale systems (93A15)
Related Items (4)
iISS and ISS dissipation inequalities: preservation and interconnection by scaling ⋮ A compendium of comparison function results ⋮ Stability of stochastic nonlinear systems in cascade with not necessarily unbounded decay rates ⋮ A Lyapunov-Krasovskii Methodology for a Class of Large-Scale Systems with Neutral-type Delays in an iISS Framework
Cites Work
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- On characterizations of the input-to-state stability property
- A tight small-gain theorem for not necessarily ISS systems
- Connection between cooperative positive systems and integral input-to-state stability of large-scale systems
- Comments on integral variants of ISS
- Qualitative analysis of large scale dynamical systems
- Application of M-matrices to the stability problems of composite dynamical systems
- Small-gain theorem for ISS systems and applications
- An ISS small gain theorem for general networks
- Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
- Survey of decentralized control methods for large scale systems
- A characterization of integral input-to-state stability
- A nonlinear small gain theorem for the analysis of control systems with saturation
- Smooth stabilization implies coprime factorization
- 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
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