Controllability for a class of discrete-time Hamiltonian systems | IEEE Conference Publication | IEEE Xplore

Controllability for a class of discrete-time Hamiltonian systems


Abstract:

In this paper we study the controllability for a class of discrete-time nonlinear systems which arise from a discretization of a continuous-time integrable Hamiltonian sy...Show More

Abstract:

In this paper we study the controllability for a class of discrete-time nonlinear systems which arise from a discretization of a continuous-time integrable Hamiltonian systems. We give necessary and sufficient condition for the global controllability of the discrete-time nonlinear systems. The result in this paper are inspired from ergodic theory. The basic idea is as follows : for the uncontrolled (drift) system, there exists a ergodic partition, partition of phase space into a subsets. On each of the subset the drift is ergodic i.e., system trajectory will reach any positive measure set within the subset. The aim of the control is only to steer the system from one subset of the partition to another subset.
Date of Conference: 09-12 December 2003
Date Added to IEEE Xplore: 15 March 2004
Print ISBN:0-7803-7924-1
Print ISSN: 0191-2216
Conference Location: Maui, HI, USA

References

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