Title :
Pathwise observability and controllability are decidable
Author :
Babaali, Mohamed ; Egerstedt, Magnus
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
This paper considers the problem of determining whether the observability (or controllability) matrix of a given discrete-time switched linear system reaches full rank for any mode sequence. We show that this problem is in fact decidable, and we provide finite upper bounds on the maximum sequence length at which this property may be satisfied.
Keywords :
controllability; discrete time systems; linear systems; matrix algebra; observability; time-varying systems; controllability; discrete-time switched linear system; observability matrix; pathwise observability; Control system synthesis; Controllability; Linear systems; Multimodal sensors; Observability; Paper technology; Sensor systems; Stochastic processes; Switches; Upper bound;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271925
