iISS and ISS dissipation inequalities: preservation and interconnection by scaling

DOI10.1007/s00498-016-0169-2zbMath1346.93340OpenAlexW2468067456MaRDI QIDQ329095

Mohammad Hasan, M. Dambrine

Publication date: 21 October 2016

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-016-0169-2

zbMATH Keywords

Lyapunov functionsnonlinear dynamical systemsintegral input-to-state stabilitydissipation inequalities

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Nonlinear Control of Dynamic Networks
• 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
• Adding integrations, saturated controls, and stabilization for feedforward systems
• Robust nonlinear control design. State-space and Lyapunov techniques

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