| University of Bath, (2007) | |||||||||||||||||
Abstract | |||||||||||||||||
| Abstract: In this paper we consider a large class of partial differential equations (PDEs) with distributed control and with a time-delay in the feedback loop. We analyze the relationship between the poles of the closed-loop transfer function and the exponential modes of the underlying retarded PDE in order to derive internal stability properties from external ones. Our approach is based on a combination of input-output methods and modal analysis. We give a number of sufficient conditions for robustness/nonrobustness of closed-loop modal stability with respect to delays. The theory is illustrated by two examples. | |||||||||||||||||
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