Title :
Sufficient and necessary condition for stabilization of jump linear systems with noise
Author :
Feng, Liu ; Liu, Z. ; Dong, H.B.
Author_Institution :
Sch. of Electron. & Inf. Eng., Beijing Jiaotong Univ., Beijing, China
Abstract :
The adaptive stabilization problem of linear systems with unknown parameters and noise models is studied in this paper, we investigate continuous time jump linear systems with a finite-state hidden Markov jump form process. A sufficient and necessary condition characterizing the adaptive stabilizability of the system is found. It is worth mentioning that a constructive method for designing stabilizing feedback law is provided in this paper.
Keywords :
adaptive systems; continuous time systems; control system synthesis; feedback; hidden Markov models; linear systems; stability; adaptive stabilization; continuous time system; feedback law; finite-state process; hidden Markov process; jump linear system; noise model; Adaptive control; Design methodology; Extraterrestrial measurements; Feedback; Finance; Hidden Markov models; Linear systems; Markov processes; Optimal control; Riccati equations; Nonlinear Kalman filter; Stabilization; jump linear systems;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498704
