A Note on the Dimensions of the Structural Invariant Subspaces of the Discrete-Time Singular Hamiltonian Systems

2012/10/30 by Marro, Giovanni
#FOS: Electrical engineering #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.1210.8083

Abstract

The structural invariant subspaces of the discrete-time singular Hamiltonian system are used in 1] to give an analytic nonrecursive expression of all the admissible trajectories. A deeper insight into the features of these subspaces, particularly focused on the dimensionality issue, is the object of this note.

Related

• Lectures on integrable Hamiltonian systems
• A Direct Proof of a Theorem Concerning Singular Hamiltonian Systems
• On the extension of singular linear infinite-dimensional Hamiltonian flows
• The Invariant Subspace Problem
• About the intuitive picture of a Hamiltonian for a dissipative system