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

Onderzoeksoutput › Academic

6 Citaten (Scopus)

Samenvatting

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'.

Originele taal-2	English
Pagina's	7151-7156
Aantal pagina's	6
DOI's	https://doi.org/10.1109/CDC.2015.7403347
Status	Published - 2015
Evenement	54th IEEE Conference on Decision and Control (CDC) - Osaka, Japan Duur: 15-dec.-2015 → 18-dec.-2015

Conference

Conference	54th IEEE Conference on Decision and Control (CDC)
Land/Regio	Japan
Stad	Osaka
Periode	15/12/2015 → 18/12/2015

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10.1109/CDC.2015.7403347

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A geometric approach to differential Hamiltonian systems
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