Abstract:The interval stability and stabilization problems for linear stochastic systems are investigated based on spectrum
technique. Firstly, the sufficient condition for stochastic systems to be interval stable is derived, which means all spectra of
stochastic systems cluster in vertical strips of the left-half plane. Then, the design of the static output feedback controller is
presented by using singular value decomposition of matrices, and the design problem can be reduced to a set of linear matrix
inequalities feasibility problem. Finally, a numerical example is given to show the correctness validity of the obtained results.