Title :
Exact controllability of linear neutral type systems by the moment problem approach
Author :
Rabah, Rabah ; Sklyar, Grigory M.
Author_Institution :
IRCCyN, Ecole des Mines de Nantes, Nantes, France
Abstract :
The problem of exact null-controllability is considered for a wide class of linear neutral type systems with distributed delay. The main tool of the analysis is the application of the moment problem approach and the theory of the basis property of exponential families. A complete characterization of this problem is given. The minimal time of controllability is specified. The results are based on the analysis of the Riesz basis property of eigenspaces of the neutral type systems in Hilbert space.
Keywords :
Hilbert spaces; controllability; delays; eigenvalues and eigenfunctions; linear systems; Hilbert space; Riesz basis property; distributed delay; eigenspaces; exact controllability; exact null-controllability; exponential family; linear neutral type systems; moment problem approach; Concrete; Control systems; Controllability; Delay systems; Differential equations; Distributed parameter systems; Hilbert space; History; Partial differential equations; Physics;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739496
