A computational technique characterizing the asymptotic stabilizability of planar linear switched systems with unstable modes

@article{Yfoulis2004ACT,
  title={A computational technique characterizing the asymptotic stabilizability of planar linear switched systems with unstable modes},
  author={C. A. Yfoulis and Robert N. Shorten},
  journal={2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)},
  year={2004},
  volume={3},
  pages={2792-2797 Vol.3}
}
In this paper a new computational technique for characterizing the asymptotic stabilizability of linear switched systems on the plane is presented. Switching between a finite number of unstable LTI systems is studied. A ray-gridding idea is used which allows the construction of sufficiently dense subdivisions of the state space into conic regions, whose boundaries are candidate switching domains. Progressive refinements of the partition add flexibility in the search for a solution. Necessary… CONTINUE READING

Figures from this paper.

Citations

Publications citing this paper.
SHOWING 1-2 OF 2 CITATIONS

Robust Stabilizability of linear uncertain switched systems : a computational algorithm

  • 2007 IEEE 22nd International Symposium on Intelligent Control
  • 2007
VIEW 10 EXCERPTS
CITES METHODS, BACKGROUND & RESULTS
HIGHLY INFLUENCED

References

Publications referenced by this paper.
SHOWING 1-10 OF 11 REFERENCES

Stabilization of second-order LTI switched systems

  • Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)
  • 1999
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

A new approach for estimating controllable and recoverable regions for systems with state and control constraints

C. Yfoulis, A. Muir, P.E.Wellstead
  • Int. Journal of Robust and Nonlinear Control, vol. 12, pp. 561–589, 2002.
  • 2002
VIEW 1 EXCERPT

Set invariance in control

  • Automatica
  • 1999
VIEW 1 EXCERPT

Stability and robustness for hybrid systems

  • Proceedings of 35th IEEE Conference on Decision and Control
  • 1996
VIEW 1 EXCERPT