Stabilization of distributed control systems with delay

作者：Henriquez Hernan R^*; Cuevas Claudio; Rabelo Marcos; Caicedo Alejandro

来源：Systems & Control Letters, 2011, 60(9): 675-682.

DOI：10.1016/j.sysconle.2011.04.012

• Stabilization of systems
• Hereditary distributed control systems
• Controllability
• Quasi-compact semigroups
• Compact operators

In this paper the asymptotic stabilization of linear distributed parameter control systems with delay is considered. Specifically, we are concerned with the class of control systems described by the equation x'(t) = Ax(t) L(x(t)) Bu(t), where A is the infinitesimal generator of a strongly continuous semigroup on a Banach space X. Assuming appropriate conditions, we will show that the usual spectral controllability assumption implies the feedback stabilization of the system. Applications to systems described by partial differential equations with delay are given.

• 出版日期2011-9