Title :
On discrete time nonnegative storage functions and state functions
Author :
Kaneko, Osamu ; Fujii, Takao
Author_Institution :
Graduate Sch. of Eng. Sci., Osaka Univ., Japan
Abstract :
We study discrete time dissipativeness. Particularly, we focus on storage functions. Different from the continuous time case, every storage function is not necessarily a state function in discrete time. For this problem, we show that every nonnegative storage function is a state function in discrete time. In addition, we provide some of the necessary and sufficient conditions for the existence of the nonnegative storage function
Keywords :
discrete time systems; linear systems; polynomial matrices; discrete time systems; dissipativeness; linear time invariant system; necessary condition; polynomial matrix; state function; storage function; sufficient condition; Difference equations; Educational institutions; Energy measurement; Energy storage; Polynomials; Power supplies;
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.2000.912185
