Title :
Kalman decomposition for implicit linear systems
Author :
Banaszuk, A. ; Kociecki, M. ; Lewis, F.L.
Author_Institution :
Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
10/1/1992 12:00:00 AM
Abstract :
The Kalman decomposition for a general class of implicit systems is introduced and studied. The properties of strong reachability, observability, acceptance of all inputs and outer sequences, output-uniqueness, uniqueness, and trajectory observability of the original system are related to the properties of its subsystems obtained via the Kalman decomposition. The problems of transfer relation, regularizability by feedback, output feedback, and output injection are studied by means of this decomposition
Keywords :
control system analysis; controllability; linear systems; observability; Kalman decomposition; implicit linear systems; input acceptance; observability; output feedback; output injection; output sequence acceptance; output-uniqueness; regularizability; strong reachability; trajectory observability; transfer relation; Circuit theory; Equations; Kalman filters; Linear systems; Neurofeedback; Observability; Output feedback; Power system economics; Power system modeling; Robotics and automation;
Journal_Title :
Automatic Control, IEEE Transactions on
