Dynamic physical systems : Energy balances and stability issues

Author

La Sen, M. De

Author_Institution

Dept. of Syst. Eng. & Autom. Control, Univ. of Basque Country, Bilbao

fYear

2008

fDate

June 30 2008-July 2 2008

Firstpage

1055

Lastpage

1059

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

Hilbert spaces; Popov criterion; mathematical operators; transfer functions; Hilbert spaces; associate transfer functions; dynamic physical systems; energy balances; hyperstability theorem; operator theory; Asymptotic stability; Automatic control; Hilbert space; Negative feedback; Physics; Power engineering and energy; State feedback; State-space methods; Systems engineering and theory; Transfer functions; Popov’s inequality; Positivity; hyperstability; passivity; positive operators;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics, 2008. ISIE 2008. IEEE International Symposium on

Conference_Location

Cambridge

Print_ISBN

978-1-4244-1665-3

Electronic_ISBN

978-1-4244-1666-0

Type

conf

DOI

10.1109/ISIE.2008.4676906

Filename

4676906