scientific article

zbMath0678.93035MaRDI QIDQ3835376

Arjan J. Van der Schaft

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hamiltonian systemsnonlinear control systemsHamiltonian realization problemmechanical m-ports

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Hamilton's equations (70H05) Control of mechanical systems (70Q05) Synthesis problems (93B50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Realizations from input-output data (93B15) Lagrange's equations (70H03)

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Mechanical linearization of mechanical control systems without controllability assumption ⋮ Feedback equivalence of input-output contact systems ⋮ An extension of Hamiltonian systems to the thermodynamic phase space: towards a geometry of nonreversible processes ⋮ On the Interconnection Structures of Irreversible Physical Systems ⋮ Discrete port-Hamiltonian systems ⋮ Some applications of an Implicit Duality Theorem to connections of structures of special types including Dirac and reciprocal structures. ⋮ Geometric structure of generalized controlled Hamiltonian systems and its application ⋮ Global regulation of robots using only position measurements ⋮ An intrinsic Hamiltonian formulation of network dynamics: Non-standard Poisson structures and gyrators

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