Title :
Dynamic physical systems : Energy balances and stability issues
Author_Institution :
Dept. of Syst. Eng. & Autom. Control, Univ. of Basque Country, Bilbao
fDate :
June 30 2008-July 2 2008
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;
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
DOI :
10.1109/ISIE.2008.4676906
