Continuous stabilization controllers for singular bilinear systems: The state feedback case

Authors:
Guoping Lu;Daniel W. C. Ho
Affiliations:
College of Electrical Engineering, Nantong University, Jiangsu, 226007, China;Department of Mathematics, City University of Hong Kong, 83, Tat Chee Avenue, Hong Kong
Venue:
Automatica (Journal of IFAC)
Year:
2006

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Abstract

Global asymptotic stabilization for a class of singular bilinear systems is first studied in this paper. New approaches are developed by means of the LaSalle invariant principle for nonlinear systems. A new set of sufficient condition is first derived via the continuous static state feedback, the feedback not only guarantees the existence of solution but also the global asymptotical stabilization for the closed loop system.