Capability and limitation of max- and sum-type construction of Lyapunov functions for networks of iISS systems
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Publication:445161
DOI10.1016/j.automatica.2012.03.018zbMath1244.93149OpenAlexW2089924726MaRDI QIDQ445161
Hiroshi Ito, Sergey N. Dashkovskiy, Fabian R. Wirth
Publication date: 24 August 2012
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2012.03.018
Lyapunov functionnonlinear systemsintegral input-to-state stabilitydissipation inequalitiesinterconnected systems
Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Input-output approaches in control theory (93D25)
Related Items (14)
Input-to-state stability and sliding mode control of the nonlinear singularly perturbed systems via trajectory-based small-gain theorem ⋮ Construction of Lyapunov Functions for Interconnected Parabolic Systems: An iISS Approach ⋮ iISS and ISS dissipation inequalities: preservation and interconnection by scaling ⋮ Global robust stabilization of nonlinear cascaded systems with integral ISS dynamic uncertainties ⋮ Hierarchical analysis of large-scale control systems via vector simulation function ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ Absolute exponential stability and stabilization of switched nonlinear systems ⋮ A Lyapunov-Krasovskii Methodology for a Class of Large-Scale Systems with Neutral-type Delays in an iISS Framework ⋮ Stabilization of interconnected dynamical systems by online convex optimization ⋮ Estimate of the domain of attraction for interconnected systems ⋮ A contractive approach to separable Lyapunov functions for monotone systems ⋮ An intuitive modification of max-separable Lyapunov functions to cover non-ISS systems ⋮ Hybrid \(L_\infty \times \ell_\infty \)-performance analysis and control of linear time-varying impulsive and switched positive systems ⋮ Separable Lyapunov functions for monotone systems: constructions and limitations
Cites Work
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- On a small gain theorem for ISS networks in dissipative Lyapunov form
- 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
- Small-gain theorem for ISS systems and applications
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- 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
- Changing supply functions in input/state stable systems
- 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
- A Small-Gain Condition for Interconnections of ISS Systems With Mixed ISS Characterizations
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