Title :
Dissipative distributed systems
Author :
Pillai, Harish K. ; Willems, Jan C.
Author_Institution :
Dept. of Electron. & Comput. Sci., Southampton Univ., UK
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;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914178
