Hamiltonian discretization of boundary control systems
نویسندگان
چکیده
منابع مشابه
Fluid dynamical systems as Hamiltonian boundary control systems
It is shown how the geometric framework for distributed-parameter portcontrolled Hamiltonian systems as recently provided in [14, 15] can be adapted to formulate ideal adiabatic fluids with non-zero energy flow through the boundary of the spatial domain as Hamiltonian boundary control systems. The key ingredient is the modification of the Stokes-Dirac structure introduced in [14] to a Dirac str...
متن کاملInvariant Tori of Dissipatively Perturbed Hamiltonian Systems under Symplectic Discretization
In a recent paper, Stooer showed that weakly attractive invariant tori of dissipative perturbations of integrable Hamiltonian systems persist under symplectic numerical discretizations, under a very weak restriction on the step size. Stooer's proof works directly with the discrete scheme. In this note we show how such a result, together with approximation estimates, can be obtained by combining...
متن کاملExplicit Simplicial Discretization of Distributed-Parameter Port-Hamiltonian Systems
Simplicial Dirac structures as finite analogues of the canonical Stokes-Dirac structure, capturing the topological laws of the system, are defined on simplicial manifolds in terms of primal and dual cochains related by the coboundary operators. These finite-dimensional Dirac structures offer a framework for the formulation of standard input-output finite-dimensional portHamiltonian systems that...
متن کاملDiscretization of Hamiltonian Incompressible Fluids
D-08-479 Discretization of Hamiltonian Incompressible Fluids Gemma MASON, Computing and Mathematical Sciences, California Institute of Technology, [email protected] Christian LESSIG, Dept. of Computer Engineering & Microelectronics, Technische Universität Berlin, [email protected] Mathieu DESBRUN, Computing and Mathematical Sciences, California Institute of Technology, [email protected]...
متن کاملAbstractions of Hamiltonian control systems
IONS OF HAMILTONIAN CONTROL SYSTEMS PAULO TABUADA AND GEORGE J. PAPPAS Abstra t. Given a ontrol system and a desired property, an abstra ted system is a redu ed system that preserves the property of interest while ignoring modeling detail. In previous work, we onsidered abstra tions of linear and analyti ontrol systems while preserving rea hability properties. In this paper we onsider the abstr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Automatica
سال: 2004
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2003.12.017