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Abstract
A method for the design of a finite–dimensional decentralized adaptive controller for an interconnected distributed parameter system is presented. We first state the system description and construct a finite–dimensional decentralized adaptive controller. Next we show that all the signals in the closed loop system are uniformly bounded, the state and parameter errors converge exponentially to a residual set in the case of tracking, and regulation is achieved perfectly. Finally we show the effectiveness of the proposed method using a simple numerical example.