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IMA Journal of Mathematical Control and Information 1996 13(1):89-103; doi:10.1093/imamci/13.1.89
© 1996 by Institute of Mathematics and its Applications
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Further generalization of the delay-system transformation

YAWVI A. FIAGBEDZI

Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals Dhahran, 31261, Saudi Arabia

A feedback stabilization theory for delay systems has been given in earlier work. The theory is based on a transformation for reducing a delay system to an ordinary differential equation, assuming that the delay system has simple unstable eigenvalues. In view of the applicability of the transformation to a large class of delay systems, including quasilinear systems, the present work seeks to enhance its scope by removing the assumption of simplicity of the unstable eigenvalues.


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