Nonlinear \(\mathcal{L}_2\)-gain verification for nonlinear systems

DOI10.1016/j.sysconle.2012.02.006zbMath1250.93096OpenAlexW2015283528MaRDI QIDQ450659

Huan Zhang, Peter M. Dower, Christopher M. Kellett

Publication date: 14 September 2012

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2012.02.006

zbMATH Keywords

dissipative systemsverification theoremnonlinear \(\mathcal{L}_{2}\)-gain

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Robust stability (93D09)

Related Items (2)

Qualitative equivalences of ISS and \(l_p\)-gain stability properties for discrete-time nonlinear systems ⋮ Performance bounds for nonlinear systems with a nonlinear ℒ₂-gain property

Cites Work

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• Asymptotic stability equals exponential stability, and ISS equals finite energy gain -- if you twist your eyes.
• A nonsmooth strict bounded real Lemma
• Dissipative dynamical systems. I: General theory
• Connections between finite-gain and asymptotic stability
• Extending H^∞ Control to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objectives
• Smooth stabilization implies coprime factorization
• Antiwindup for stable linear systems with input saturation: An LMI-based synthesis
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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