caa a22 4500 467931682 CHVBK 20180406152945.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s00020-005-1387-z doi (NATIONALLICENCE)springer-10.1007/s00020-005-1387-z Mikkola Kalle Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, FIN-02015, HUT, Finland aut State-Feedback Stabilization of Well-Posed Linear Systems [Elektronische Daten] [Kalle Mikkola] Abstract.: A finite-dimensional linear time-invariant system is output-stabilizable if and only if it satisfies the finite cost condition, i.e., if for each initial state there exists at least one L2 input that produces an L2 output. It is exponentially stabilizable if and only if for each initial state there exists at least one L2 input that produces an L2 state trajectory. We extend these results to well-posed linear systems with infinite-dimensional input, state and output spaces. Our main contribution is the fact that the stabilizing state feedback is well posed, i.e., the map from an exogenous input (or disturbance) to the feedback, state and output signals is continuous in Lloc2 in both open-loop and closed-loop settings. The state feedback can be chosen in such a way that it also stabilizes the I/O map and induces a (quasi) right coprime factorization of the original transfer function. The solution of the LQR problem has these properties. Birkhäuser Verlag, Basel, 2006 Exponential stabilization nationallicence output stabilization nationallicence finite cost condition nationallicence LQR problem nationallicence quasi-coprime factorization nationallicence Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 55/2(2006-06-01), 249-271 0378-620X 55:2<249 2006 55 20 https://doi.org/10.1007/s00020-005-1387-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1387-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mikkola Kalle Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, FIN-02015, HUT, Finland aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 55/2(2006-06-01), 249-271 0378-620X 55:2<249 2006 55 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer