Title :
On dissipative SISO systems: a behavioral approach
Author :
Pendharkar, Isban ; Pillai, Harish K.
Author_Institution :
Dept. of Electr. Eng., IIT Bombay, Mumbai, India
Abstract :
The behavioral equivalent of SISO systems are behaviors with two manifest variables. In this paper we investigate behaviors with two manifest variables that are dissipative with respect to a supply rate induced by a quadratic differential form (QDF). These QDFs define some relation between the input, the output and their derivatives of a SISO system. We characterize all behaviors that are dissipative with respect to the prescribed supply rate. In fact, we parametrize all the behaviors dissipative with respect to the prescribed supply rate in terms of those that are dissipative with respect to a "special" QDF. Similar results can also be given for lossless systems.
Keywords :
differential equations; time-varying systems; behavioral equivalent; dissipative SISO systems; lossless systems; manifest variables; quadratic differential form; Control systems; Differential equations; Electric variables control; Image representation; Kernel; Linear systems; Observability; Optimal control; Polynomials; Transfer functions;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272843
