On Controllability and Near-controllability of Multi-input Discrete-time Bilinear Systems in Dimension Two

2014/01/22 by Lin Tie, Tie, Lin
Engineering · Mathematics · #93B05 #93C10 #93C55 #Control and Stability of Dynamical Systems #FOS: Electrical engineering #Numerical methods for differential equations #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1401.5567

openalex publication_date 2014/01/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

This paper completely solves the controllability problems of two-dimensional multi-input discrete-time bilinear systems with and without drift. Necessary and sufficient conditions for controllability, which cover the existing results, are obtained by using an algebraic method. Furthermore, for the uncontrollable systems, near-controllability is studied and necessary and sufficient conditions for the systems to be nearly controllable are also presented. Examples are provided to demonstrate the conceptions and results of the paper.

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