Title :
An LTV Beurling-Lax theorem and related interpolation
Author_Institution :
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
Abstract :
A linear time varying (LTV) system perspective of a Krein space variant of the Beurling-Lax theorem is discussed, illuminating the nature of certain causal subspace families Kt⊂L2 (t,∞), t∈R. The theorem helps identify a framework for a natural, system oriented LTV generalization of Sarason´s interpolation problem, which is also solved
Keywords :
interpolation; linear systems; optimal control; time-varying systems; Beurling-Lax theorem; H∞ control; Krein space variant; Sarason´s interpolation problem; causal subspace families; linear time varying system perspective; Hilbert space; Hydrogen; Interpolation; Nonlinear systems; Space exploration; Stability; System analysis and design; Time domain analysis; Time varying systems; Vocabulary;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325070
