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AMC
2007

Quadratic stability and stabilization of switched dynamic systems with uncommensurate internal point delays

9 years 1 months ago
Quadratic stability and stabilization of switched dynamic systems with uncommensurate internal point delays
This paper deals with the quadratic stability and linear state-feedback and output-feedback stabilization of switched delayed linear dynamic systems with, in general, a finite number of non-commensurate constant internal point delays. The results are obtained based on Lyapunov’s stability analysis via appropriate Krasovsky–Lyapunov’s functionals and the related stability study is performed to obtain both delay independent and delay dependent results. It is proved that the stabilizing switching rule is arbitrary if all the switched subsystems are quadratically stable and that it exists a (in general, non-unique) stabilizing switching law when the system is polytopic, stable at some interior point of the polytope but with non-necessarily stable parameterizations at the vertices defining the subsystems. It is also proved that two subsystems individually parametrized in different polytopic-type sets which are not quadratically stable might be stabilized by a (in general, non-uniq...
Manuel de la Sen
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2007
Where AMC
Authors Manuel de la Sen
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