document: Adaptive stabilization of undamped flexible structures In the paper non-identifier-based adaptive stabilization of undamped flexible structures is considered in the case of collocated input and output operators . The systems have poles and zeros on the imaginary axis . In the case where velocity feedback is available , the adaptive stabilizer is constructed by an adaptive PD-controller -LRB- proportional plus derivative controller -RRB- . In the case where only position feedback is available , the adaptive stabilizer is constructed by an adaptive P-controller for the augmented system which consists of the controlled system and a parallel compensator . Numerical examples are given to illustrate the effectiveness of the proposed controllers
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