Interconnections of nonlinear systems with ``mixed small gain and passivity properties and associated input-output stability results

DOI10.1016/j.sysconle.2008.11.006zbMath1159.93028OpenAlexW1970160230MaRDI QIDQ1015768

Michael C. Rotkowitz, Alexander Lanzon, Wynita M. Griggs, Brian D. O. Anderson

Publication date: 30 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.11.006

zbMATH Keywords

nonlinear systemspassivityinput-output stabilityfinite gain

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25)

Related Items (9)

A rolled-off passivity theorem ⋮ Sector bounds in stability analysis and control design ⋮ Asymptotic stabilization of passive systems without damping injection: a sampled integral technique ⋮ Nyquist plots, finite gain/phase margins \& dissipativity ⋮ Factorization of multipliers in passivity and IQC analysis ⋮ Characterising discrete-time linear systems with the ``mixed positive real and bounded real property ⋮ A test for determining systems with ``mixed small gain and passivity properties ⋮ Conic-sector-based control to circumvent passivity violations ⋮ A high‐performance robust control method based on the gain and phase information of uncertainty

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• Connections between finite-gain and asymptotic stability
• The stability of nonlinear dissipative systems
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• Tests for stability and instability of interconnected systems
• System analysis via integral quadratic constraints

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