Title :
General D-stability and D-stabilization for linear stochastic systems: Continuous-time case
Author_Institution :
Coll. of Inf. & Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao, China
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;
Conference_Titel :
Control and Automation (ICCA), 2010 8th IEEE International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4244-5195-1
Electronic_ISBN :
1948-3449
DOI :
10.1109/ICCA.2010.5524067
