INFORMATICA International Journal Main Page Editorial Board Abstracting/Indexing Instructions to Authors Subscription Information Contents Author Index Papers in Production		INFORMATICA, 2005, Vol. 16, No. 3, 395-406 © Institute of Mathematics and Informatics, ISSN 0868-4952 Some Conceptual Links between Dynamic Physical Systems and Operator Theory Issues Concerning Energy Balances and Stability M. De la SEN Department of Systems Engineering and Automatic Control, Faculty of Sciences University of Basque Country Campus de Leioa, Bizkaia, Aptdo, 644 de Bilbao 48080-Bilbao, Spain E-mail: wepdepam@lg.ehu.es Abstract This paper relates properties of operators with the well-known concepts of positive realness and passivity properties in dynamic systems and their associate transfer functions. Those concepts together with very close related ones are first examined from a physical point of view. Then, they are related with hyperstability and properties of transfer functions while the hyperstability theorem is revisited and interpreted. Finally, the above concepts are compared to the mathematical concepts of positivity and closely related ones in operator theory in Hilbert spaces. Keywords: positivity, passivity, Popov's inequality, positive operators, hyperstability To preview Lithuanian abstract see full article text To preview full article text in PDF format click here You could obtain free Acrobat Reader from Adobe
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