Title :
Controllability of Discrete Time Bilinear Systems in Finite and Infinite Dimensional Spaces
Author :
Louati, Driss Alami ; Ouzahra, Mohamed
Author_Institution :
Dept. of Math., Univ. of Sidi Mohamed Ben Abdallah, Fès, Morocco
Abstract :
In the first instance, we prove that in a Banach state space of infinite dimensional; discrete bilinear systems are uncontrollable and we examine the control of the projections of the state on finite-dimensional subspaces. Then we generalize finite-dimensional results on near-controllability established by Tie and Cai in [21] and [22]. Finally, we provide illustrative examples.
Keywords :
controllability; discrete time systems; linear systems; state-space methods; Banach state space; discrete time bilinear systems; finite dimensional space; infinite dimensional space; near-controllability; Aerospace electronics; Barium; Controllability; Eigenvalues and eigenfunctions; Nonlinear systems; Polynomials; Controllability; Discrete time bilinear system; controllability; discrete time bilinear system; near-controllability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2304392
