Title :
Equivalent conditions for the solvability of the infinite-dimensional LQ-problem with unbounded input and output operators
Author :
Van Keulen, Bert
Author_Institution :
Math. Inst., Groningen, Netherlands
Abstract :
Equivalent conditions are presented for the solvability of the infinite-horizon LQ-problem with stability for a class of infinite-dimensional systems with unbounded input and output operators, (Pritchard-Salamon class). These equivalent conditions are given in terms of a nonstandard Riccati equation and a frequency domain inequality, just as in the finite-dimensional case
Keywords :
frequency-domain analysis; multidimensional systems; optimal control; stability; LQ-problem; Pritchard-Salamon class; equivalent conditions; frequency domain inequality; infinite-dimensional systems; nonstandard Riccati equation; solvability; stability; Control systems; Costs; Frequency domain analysis; Hilbert space; Mathematics; Optimal control; Riccati equations; Robust control; Robust stability; Stability;
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.1992.371039
