Direct algebraic criteria for exponential moment stability of linear stochastic systems

Proceedings of the American Control Conference

Volumn 6, Issue , 2000, Pages 3800-3801

  Yao, Hongzhu ^a   Deng, Feiqi ^a   Chen, Jintang ^a   Liu, Yongqing ^a  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Algebraic criteria; Coloured noise; Lie algebra; Moment stability; Stochastic systems; White noise

Indexed keywords

ALGEBRAIC CRITERIA; COLOURED NOISE; LIE ALGEBRA; LINEAR STOCHASTIC SYSTEM; MATRIX PRODUCTS; MOMENT STABILITY;

ALGEBRA; COMPUTER APPLICATIONS; STOCHASTIC SYSTEMS; WHITE NOISE; ASYMPTOTIC STABILITY; CONTROL SYSTEM ANALYSIS; CORRELATION METHODS; FOURIER TRANSFORMS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; RANDOM PROCESSES;

STABILITY CRITERIA; SYSTEM STABILITY;

COLOURED NOISE; EXPONENTIAL MOMENT STABILITY; KROECKER MATRIX PRODUCT; LIE ALGEBRA; LINEAR STOCHASTIC SYSTEM;

EID: 0034539682     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2000.876932     Document Type: Conference Paper

References (5)

1. Soony T T. Random Differential Equations in Science and Engeering. New York:Academic Press, 1973.
2. Feng Zhaoshu, Liu Yongqing. Stability Analysis and Stabilization Synthesis of Stochastic Large Scale Systems. Beijing & New York: Science Press, 1995
3. Willems, J.L. Moment stability of linear white noise and coloured noise systems. In: Clarkson, B.L. ed. Stochastic Problems in Dynamics. London: Pitman,1976,67-89.
4. Deng Feiqi and Liu Yongqing. Theory and Applications of Large-scale Dynamic Systems, Vol. 10: Variable structure control of stochastic systems. Guangzhou: The South China University of Technology Press, 1998.
5. Deng Feiqi, Feng Zhaoshu and Liu Yongqing. Necessary and sufficient condition of mean-square stability of linear It6 stochastic systems. Acta Automatica Sinica, 1996, 22(4):510-512.