Controlled invariance for hamiltonian systems
Copyright policy )Controlled invariance for hamiltonian systems
A notion of controlled invariance is developed which is suited to Hamiltonian control systems. This is done by replacing the controlled invariant distribution, as used for general nonlinear control systems, by the controlled invariant function group. It is shown how Lagrangian or coisotropic controlled invariant function groups can be made invariant by static, respectively dynamic, hamiltonian feedback. This constitutes a first step in the development of a geometric control theory for Hamiltonian systems that explicitly uses the given structure.
- University of Twente Netherlands
- University of Groningen Netherlands
Hamiltonian control systems, IR-85665, geometric control theory, Geometric methods, Symmetries, equivariant dynamical systems, controlled invariance, Nonlinear systems in control theory, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Control/observation systems governed by ordinary differential equations
Hamiltonian control systems, IR-85665, geometric control theory, Geometric methods, Symmetries, equivariant dynamical systems, controlled invariance, Nonlinear systems in control theory, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Control/observation systems governed by ordinary differential equations
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