A geometric approach to differential Hamiltonian systems and differential Riccati equations

Arjan van der Schaft

doi:10.1109/CDC.2015.7403347

A geometric approach to differential Hamiltonian systems and differential Riccati equations

Arjan van der Schaft

Systems, Control and Applied Analysis

Research output: Contribution to conference › Paper › Academic

10 Citations (Scopus)

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'.

Original language	English
Pages	7151-7156
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2015.7403347
Publication status	Published - 2015
Event	54th IEEE Conference on Decision and Control (CDC) - Osaka, Japan Duration: 15-Dec-2015 → 18-Dec-2015

Conference

Conference	54th IEEE Conference on Decision and Control (CDC)
Country/Territory	Japan
City	Osaka
Period	15/12/2015 → 18/12/2015

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A geometric approach to differential Hamiltonian systems
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U2 - 10.1109/CDC.2015.7403347

DO - 10.1109/CDC.2015.7403347

M3 - Paper

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EP - 7156

T2 - 54th IEEE Conference on Decision and Control (CDC)

Y2 - 15 December 2015 through 18 December 2015

ER -

A geometric approach to differential Hamiltonian systems and differential Riccati equations

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