Dissipativity and stability of interconnections

DOI10.1002/rnc.1121zbMath1113.93083OpenAlexW2068223188MaRDI QIDQ3445532

Jan C. Willems, Kiyotsugu Takaba

Publication date: 11 June 2007

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.1121

zbMATH Keywords

stabilitydissipativitybehaviorinterconnectionquadratic differential form

Mathematics Subject Classification ID

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

Related Items (9)

Zames-Falb multipliers for absolute stability: from O'Shea's contribution to convex searches ⋮ Balanced Truncation Model Reduction for 3D Linear Magneto-Quasistatic Field Problems ⋮ Modeling and Analysis of Energy Distribution Networks Using Switched Differential Systems ⋮ Dissipative control for a class of uncertain nonlinear control systems ⋮ Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers ⋮ Stability analysis by dynamic dissipation inequalities: on merging frequency-domain techniques with time-domain conditions ⋮ A unified dissipativity approach for stability analysis of piecewise smooth systems ⋮ Dissipative dynamical systems ⋮ On the Role of Well-Posedness in Homotopy Methods for the Stability Analysis of Nonlinear Feedback Systems

Cites Work

• Unnamed Item
• A frequency theorem in control theory
• On the -Boundedness of Solutions of Nonlinear Functional Equations

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