Title :
A time domain characterization of finite frequency properties for multi-dimensional behaviors
Author :
Kojima, Chiaki ; Hara, Shinji
Author_Institution :
Dept. of Inf. Phys. & Comput., Univ. of Tokyo, Tokyo, Japan
Abstract :
Many of practical design specifications are provided by finite frequency properties described by inequalities over restricted finite frequency intervals. In this paper, we consider a time domain characterization of the finite frequency domain inequalities (FFDIs) for multi-dimensional behaviors using quadratic differential forms (QDFs), which are useful algebraic tools for the dissipation theory based on the behavioral approach. Based on QDFs, result, we derive a characterization of the FFDIs using the compensating rate which guarantees the dissipativity of some behavior with some rate constraints as a main result. This is a generalization of previous works for one-dimensional systems to the multi-dimensional case.
Keywords :
algebra; frequency-domain analysis; multidimensional systems; time-domain analysis; FFDI; QDF; behavioral approach; compensating rate; dissipation theory; finite frequency domain inequalities; finite frequency properties; multidimensional behaviors; multidimensional systems; one-dimensional systems; quadratic differential forms; time domain characterization; Image representation; Linear matrix inequalities; Polynomials; Time-domain analysis; Time-frequency analysis; Zinc;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3