Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems

DOI10.1016/S0005-1098(01)00278-3zbMath1009.93063OpenAlexW2048253740MaRDI QIDQ1613164

Gerardo Escobar, Arjan J. Van der Schaft, Bernhard Maschke, Romeo S. Ortega

Publication date: 5 September 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(01)00278-3

zbMATH Keywords

Hamiltonian systems passivity.port controlled systems stabilization of nonlinear system

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Hamilton's equations (70H05)

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Cites Work