General D-stability and D-stabilization for linear stochastic systems: Continuous-time case

Author

Zhang, Weihai

Author_Institution

Coll. of Inf. & Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao, China

fYear

2010

fDate

9-11 June 2010

Firstpage

131

Lastpage

136

Abstract

By means of the spectrum technique of the generalized Lyapunov operator, the notions of D-stability and D-stabilization are defined for linear stochastic time-invariant systems. A necessary and sufficient condition for the D-stability and D-stabilization is respectively presented by linear matrix inequalities (LMIs) technique and the matrix Kronecker product theory, what we have obtained generalize the results of deterministic systems.

Keywords

Lyapunov methods; continuous time systems; linear matrix inequalities; linear systems; stability; stochastic systems; D-stabilization; continuous-time system; general D-stability; generalized Lyapunov operator; linear matrix inequalities technique; linear stochastic time-invariant systems; matrix Kronecker product theory; spectrum technique; Control systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Stability; State feedback; Stochastic resonance; Stochastic systems; Sufficient conditions; Symmetric matrices; System analysis and design;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2010 8th IEEE International Conference on

Conference_Location

Xiamen

ISSN

1948-3449

Print_ISBN

978-1-4244-5195-1

Electronic_ISBN

1948-3449

Type

conf

DOI

10.1109/ICCA.2010.5524067

Filename

5524067