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A geometric approach to differential Hamiltonian systems and differential Riccati equations

Authors
  • van der Schaft, Arjan
Type
Preprint
Publication Date
Apr 09, 2015
Submission Date
Apr 09, 2015
Identifiers
arXiv ID: 1504.02289
Source
arXiv
License
Yellow
External links

Abstract

Motivated by research on contraction analysis and incremental stability/stabilizability the study of 'differential properties' has attracted increasing attention lately. Previously lifts of functions and vector fields to the tangent bundle of the state space manifold have been employed for a geometric approach to differential passivity and dissipativity. In the same vein, the present paper aims at a geometric underpinning and elucidation of recent work on 'control contraction metrics' and 'generalized differential Riccati equations'.

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