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IMA Journal of Mathematical Control and Information 2002 19(4):419-444; doi:10.1093/imamci/19.4.419
© 2002 by Institute of Mathematics and its Applications
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Non-uniform stabilization of control systems

Iasson Karafyllis1

1 Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece

Aversion of non-uniform in time robust global asymptotic stability is proposed and enables us to derive: (1) sufficient conditions for the stabilization of uncertain nonlinear triangular time-varying control systems; (2) sufficient conditions for the solution of the partial-state global stabilization problem for autonomous systems. The results are obtained via the method of integrator backstepping and are generalizations of the existing corresponding results in the literature.

Keywords: integrator backstepping; time-varying feedback; time-varying systems.

Received 10 March 2002. Accepted 6 June 2002.


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