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IMA Journal of Mathematical Control and Information Advance Access originally published online on February 8, 2008
IMA Journal of Mathematical Control and Information 2008 25(3):341-351; doi:10.1093/imamci/dnm029
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Global stabilization of non-linear discrete-time systems by linear feedback

Rigoberto Medina{dagger}

Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Osorno, Chile

{dagger} Email: rmedina{at}ulagos.cl

Received on May 10, 2007; Accepted on September 9, 2007

The stabilization problem for a class of non-linear, non-autonomous discrete-time systems is discussed. Based on the ‘freezing’ method to discrete-time systems, we derive explicit conditions for global feedback exponential stabilizability. This approach will allow us to avoid the construction of Lyapunov functions in some situations.

Keywords: freezing method; Non-linear discrete-time systems; stabilization.


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