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Problems on time-varying port-controlled Hamiltonian systems: geometric structure and dissipative realization - Brief paper
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2005 (English)In: Automatica, ISSN 0005-1098, Vol. 41, no 4, 717-723 p.Article in journal (Refereed) Published
Abstract [en]

To apply time-varying port-controlled Hamiltonian (PCH) systems to practical control designs, two basic problems should be dealt with: one is how to provide such time-varying systems a geometric structure to guarantee the completeness of representations in mathematics; and the other is how to express the practical system under consideration as a time-varying PCH system, which is called the dissipative Hamiltonian realization problem. The paper investigates the two basic problems. A suitable geometric structure for time-varying PCH systems is proposed first. Then the dissipative realization problem of time-varying nonlinear systems is investigated, and serval new methods and sufficient conditions are presented for the realization.

Place, publisher, year, edition, pages
2005. Vol. 41, no 4, 717-723 p.
Keyword [en]
time-varying PCH system, geometric structure, dissipative Hamiltonian, realization, generalized canonical-transformations, power-systems, stabilization
URN: urn:nbn:se:kth:diva-14590DOI: 10.1016/j.automatica.2004.11.006ISI: 000227565500018ScopusID: 2-s2.0-13944265681OAI: diva2:332631
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Hu, Xiaoming
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