Input-to-state stabilization of the perturbed systems in the generalized triangular form

Details Input-to-state stabilization of the perturbed systems in the generalized triangular form Input-to-state stabilization of the perturbed systems in the generalized triangular form

2010-08-27

arxiv.org/abs/1008.4674v1

Mathematics

Dynamical Systems

19 pages

Scientific paper

We consider nonlinear control systems of the so-called generalized triangular form (GTF) with time-varying and periodic dynamics which linearly depends on some external disturbances. Our purpose is to construct a feedback controller which provides the global input-to-state stability of the corresponding closed-loop w.r.t. the disturbances. To do this, we combine the method proposed in the earlier work \cite{pavlichkov_ge_2009} devoted the the global asymptotic stabilization of the GTF systems without disturbances with the ISS theory for time-varying systems proposed in \cite{wang}. Following this pattern we construct a feedback which provides the properties of uniform global stability and asymptotic gain w.r.t the disturbances. Then we obtain the semi-uniform ISS of the closed-loop system.

Affiliated with

Also associated with

No associations

Rating

Input-to-state stabilization of the perturbed systems in the generalized triangular form does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Input-to-state stabilization of the perturbed systems in the generalized triangular form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Input-to-state stabilization of the perturbed systems in the generalized triangular form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-331342