Title :
Riccati equations for strongly stabilizable state linear systems
Author :
Oostveen, Job C. ; Curtain, Ruth F.
Author_Institution :
Dept. of Math., Univ. of Groningen, Groningen, Netherlands
Abstract :
We obtain necessary and sufficient conditions for the existence of strongly stabilizing solutions to Riccati equations for infinite-dimensional systems that are strongly, but not exponentially stabilizable. We illustrate the theory by extending the strict positive-real and bounded-real lemmas to a class of strongly stable systems with colocated actuators and sensors, and apply it to derive a Riccati criterion for the existence of J-spectral factorizations.
Keywords :
Riccati equations; actuators; linear systems; multidimensional systems; sensors; stability; J-spectral factorizations; Riccati criterion; Riccati equations; bounded-real lemmas; colocated actuators; infinite-dimensional systems; sensors; strict positive-real lemma; strongly stabilizable state linear systems; Coercive force; Hilbert space; Linear systems; Mathematical model; Riccati equations; Standards; Transfer functions; flexible structures; infinite-dimensional linear systems; optimal control; stability;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
