DocumentCode
1744167
Title
Dissipative distributed systems
Author
Pillai, Harish K. ; Willems, Jan C.
Author_Institution
Dept. of Electron. & Comput. Sci., Southampton Univ., UK
Volume
3
fYear
2000
fDate
2000
Firstpage
2500
Abstract
Deals with systems described by constant coefficient linear partial differential equations. We define dissipativity with respect to a quadratic differential form, i.e., a quadratic functional in the system variables and their partial derivatives. The main result states the equivalence of dissipativity and the existence of a storage function or of a dissipation rate
Keywords
controllability; distributed parameter systems; observability; partial differential equations; rational functions; constant coefficient linear partial differential equations; dissipation rate; dissipative distributed systems; quadratic differential form; quadratic functional; storage function; Intersymbol interference; Kernel; Mathematical model; Mathematics; Maxwell equations; Partial differential equations; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location
Sydney, NSW
ISSN
0191-2216
Print_ISBN
0-7803-6638-7
Type
conf
DOI
10.1109/CDC.2000.914178
Filename
914178
Link To Document