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IMA Journal of Mathematical Control and Information 1993 10(4):305-322; doi:10.1093/imamci/10.4.305
© 1993 by Institute of Mathematics and its Applications
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Feedback stabilization of a class of singular nonlinear systems

D. N. SHIELDS

Mathematics Division, Coventry University Priory Street, Coventry CV1 5FB

A class of uncertain, singular descriptor systems is considered which can be decomposed by the singular-value decomposition into two subsystems; one dynamic of order p and one static of order q(p+q=n). The dimension of the output space is assumed to be p and the trible (E, A, B), which is obtained from the linear part of the system, is assumed to be both Y-controllable and R-controllable. A nonlinear output feedback strategy is designed which guarantees that the reduced-order dynamic system has the property of global uniform ultimate boundedness provided that certain assumptions hold on the uncertainty of the system.


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