Title :
Controllability, stabilizability, and matrix Riccati equations for periodic systems
Author :
Kano, Hiroyuki ; Nishimura, Toshimitsu
Author_Institution :
International Institute for Advanced Study of Social Information Science, Fujitsu, Ltd., Numazu, Shizuoka, Japan
fDate :
11/1/1985 12:00:00 AM
Abstract :
In this note, controllability, stabilizahility, and related concepts for periodically time-varying systems are discussed. Especially, it is proved that the definition of controllability employed in connection with the existence of periodic solutions of periodic matrix Riccati equations is equivalent to Kalman´s original definition.
Keywords :
Controllability, linear systems; Differential Riccati equations; Linear systems, time-varying; Riccati equations, differential; Stability, linear systems; Time-varying systems, linear; Control systems; Controllability; Kalman filters; Observability; Optimal control; Riccati equations; Stability; Sufficient conditions; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103850
