A discrete system is uniformly mean-square stable if uniform convergence is preserved between input and state correlation sequences, and if nuclearity is preserved between the input and state correlation limits. This paper supplies a contraction-free condition ensuring mean-square stability for infinite-dimensional bilinear systems evolving in a separable Hilbert space.
机构:
PONTIFICIA UNIV CATOLICA RIO DE JANEIRO,DEPT ELECT ENGN,BR-22453 RIO DE JANEIRO,RJ,BRAZILPONTIFICIA UNIV CATOLICA RIO DE JANEIRO,DEPT ELECT ENGN,BR-22453 RIO DE JANEIRO,RJ,BRAZIL
机构:
PONTIFICIA UNIV CATOLICA,DEPT ELECTR ENGN,BR-22453 RIO DE JANEIRO,RJ,BRAZILPONTIFICIA UNIV CATOLICA,DEPT ELECTR ENGN,BR-22453 RIO DE JANEIRO,RJ,BRAZIL