Title :
Linear Stochastic Small Gain Theorem with State and Control-Dependent Noise
Author :
Zhang, Weihai ; Zhang, Huanshui ; Huang, Yulin
Author_Institution :
Coll. of Inf. & Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao
Abstract :
This paper presents a mean-square small gain theory for linear stochastic Ito systems with both state and control-dependent noise, what we have obtained improves and generalizes the previous results on the system with only state-dependent noise to more general models
Keywords :
Riccati equations; linear synchronous motors; matrix algebra; mean square error methods; stability; stochastic systems; transfer functions; control-dependent noise; exact detectability; linear stochastic Ito systems; linear stochastic small gain theorem; mean square stability; mean-square small gain theory; state noise; Control systems; Educational institutions; Gain; Indium tin oxide; Riccati equations; Stability; Stochastic resonance; Stochastic systems; Symmetric matrices; Transfer functions; exact detectability; mean square stability; small gain theorem; stochastic systems;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712310