Title :
On strict passivity and its application to interpolation and H ∞ control
Author :
Meinsma, Gjerrit ; Green, Michael
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
Abstract :
The authors introduce the L2-system and derive necessary and sufficient conditions for these systems to be strictly passive. Strictly passive L2-systems are characterized as having a representation in terms of a co-J-lossless matrix. A state space proof is developed and provides a Riccati equation characterization of a strictly passive L 2-system, as well as a formula for the co-J-lossless matrix representation. Applications to Nevanlinna-Pick interpolation and an H∞ filtering problem are considered
Keywords :
filtering and prediction theory; interpolation; matrix algebra; optimal control; state-space methods; H∞ control; H∞ filtering; L2-system; Nevanlinna-Pick interpolation; Riccati equation; co-J-lossless matrix; necessary and sufficient conditions; state space proof; strict passivity; Concrete; Differential equations; Filtering; Filtering theory; Interpolation; Mathematics; Poles and zeros; Polynomials; Riccati equations; State-space methods; Sufficient conditions; Vectors;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371306
