A quadratic stability result for singular switched systems with application to anti-windup control

@article{Shorten2009AQS,
  title={A quadratic stability result for singular switched systems with application to anti-windup control},
  author={Robert N. Shorten and Martin J. Corless and Richard H. Middleton and Steffi Klinge and Kai Wulff},
  journal={2009 American Control Conference},
  year={2009},
  pages={1917-1922}
}
In this note we consider the problem of determining necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems whose system matrices are of the form A, A-ghT, and where one of the matrices is singular. We then apply this result in a study of a feedback system with a saturating actuator 

Similar Papers

Figures and Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 13 REFERENCES

Stability analysis for reset systems with input saturation

  • 2007 46th IEEE Conference on Decision and Control
  • 2007
VIEW 1 EXCERPT