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- Title
The null controllability of nonlinear discrete control systems with degeneracy.
- Authors
XUE-LI TAN; YONG LI
- Abstract
This article mainly concerns the null controllability of autonomous and non-autonomous nonlinear discrete control systems. By using Cayley--Hamilton theorem and Brouwer's fixed point theorem under a condition on the nonlinearity, sufficient and necessary conditions of null controllability for nonlinear discrete control systems are presented. In our approach, the linear part of systems under consideration might admit some degeneracy. In addition, applications are given to illustrate the obtained results.
- Subjects
CAYLEY-Hamilton theorem; VECTOR algebra; DEGENERATE perturbation theory; ENERGY levels (Quantum mechanics); TIME-independent perturbation theory
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p999
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw022