화학공학소재연구정보센터
SIAM Journal on Control and Optimization, Vol.53, No.4, 1934-1955, 2015
ON STABILITY EQUIVALENCE BETWEEN DYNAMIC OUTPUT FEEDBACK AND STATIC OUTPUT FEEDBACK FOR A CLASS OF SECOND ORDER INFINITE-DIMENSIONAL SYSTEMS
We consider stabilization for a class of abstract second order infinite-dimensional systems with collocated control and observation. We show that the closed-loop system under a proportional direct output feedback control is asymptotically stable if and only if the closed-loop system under some dynamic output feedback control is asymptotically stable. A Hautus test is developed to ensure the asymptotic stability. Two types of dynamic output feedback controls are investigated. The results are applied to some coupled wave-heat equations where the heat system is considered as a controller of the wave system. This study provides a different view in the study of the coupled systems described by partial differential equations.