Title :
Semialgebraic sets, stabilization, and computability
Author :
Bertilsson, Daniel ; Blondel, Vincent
Author_Institution :
Dept. of Math., R. Inst. of Technol., Stockholm, Sweden
Abstract :
We show that the simultaneous stabilization question: When are three linear systems stabilizable by the same controller? cannot be solved by a semialgebraic set description nor be answered by computational machines
Keywords :
computability; set theory; stability; computability; linear systems; semialgebraic sets; simultaneous stabilization; Conformal mapping; Control systems; Interpolation; Linear systems; Mathematics; Sufficient conditions; Transfer functions;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478911
