Title :
Controllability of linear deterministic and stochastic systems
Author :
Bashirov, A.E. ; Mahmudov, N.I.
Author_Institution :
Dept. of Math., Eastern Mediterranean Univ., Mersin, Turkey
fDate :
6/21/1905 12:00:00 AM
Abstract :
Necessary and sufficient conditions, which are formulated in terms of convergence of a certain sequence of operators involving the resolvent of the negative of the controllability operator, are found for deterministic linear stationary control systems to be completely and approximately controllable, respectively. It is shown that the S-controllability of partially observable linear stationary control systems with additive Gaussian white noise disturbance, that is a property of attaining an arbitrarily small neighborhood of each point in the state space with a probability arbitrarily close to one, is equivalent to the approximate controllability of their deterministic part. Also, it is shown that the C-controllability of the same kind of systems, that is defined as S-controllability improved with some uniformity conditions, is equivalent to the complete controllability of their deterministic part
Keywords :
AWGN; Hilbert spaces; controllability; convergence; equivalence classes; linear systems; probability; sequences; stochastic systems; C-controllability; S-controllability; additive Gaussian white noise disturbance; approximate controllability; complete controllability; deterministic linear stationary control systems; necessary and sufficient conditions; partially observable systems; uniformity conditions; Additive white noise; Control systems; Controllability; Convergence; Ear; Mathematics; State-space methods; Stochastic systems; Sufficient conditions; Time measurement;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827760
