Title :
Controllability and reachability of discrete-time planar bimodal piecewise linear systems
Author :
Xu, Jun ; Xie, Lihua
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
This paper addresses the controllability and reachability problem for a class of discrete-time piecewise linear systems. Based on a general classification method, explicit necessary and sufficient conditions for the controllability and reachability of discrete-time planar bimodal piecewise linear systems are derived. The complexity of the controllability problem for piecewise linear systems can be clearly seen from the study of the present paper. We also briefly discuss the high-order and multi-modal cases
Keywords :
controllability; discrete time systems; linear systems; piecewise linear techniques; reachability analysis; controllability; discrete-time systems; planar bimodal piecewise linear systems; reachability; Circuits and systems; Control systems; Controllability; Diodes; Linear systems; Nonlinear systems; Observability; Piecewise linear techniques; Relays; Sufficient conditions;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657409
