A degree of flexibility in Lyapunov inequalities for establishing input-to-state stability of interconnected systems
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Publication:999041
DOI10.1016/j.automatica.2008.01.001zbMath1153.93504OpenAlexW2090162249MaRDI QIDQ999041
Publication date: 30 January 2009
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2008.01.001
nonlinear systemsLyapunov functionsinput-to-state stabilityinterconnected systemssmall-gain condition
Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (4)
iISS and ISS dissipation inequalities: preservation and interconnection by scaling ⋮ On Lyapunov-type inequalities for two-dimensional nonlinear partial systems ⋮ Adaptive state-feedback stabilization for a large class of high-order stochastic nonlinear systems ⋮ Reduction of the small gain condition for large‐scale interconnections
Uses Software
Cites Work
- On characterizations of the input-to-state stability property
- Stability results for nonlinear feedback systems
- Small-gain theorem for ISS systems and applications
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- Dissipative dynamical systems. I: General theory
- Robust stability with time-varying structured uncertainty
- 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
- Inverse Optimality in Robust Stabilization
- State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems
- Unnamed Item
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