Parameter-Dependent Lyapunov Functions for Linear Systems With Constant Uncertainties

  title={Parameter-Dependent Lyapunov Functions for Linear Systems With Constant Uncertainties},
  author={Peter Seiler and Ufuk Topcu and Andrew Packard and Gary J. Balas},
  journal={IEEE Transactions on Automatic Control},
Robust stability of linear time-invariant systems with respect to structured uncertainties is considered. The small gain condition is sufficient to prove robust stability and scalings are typically used to reduce the conservatism of this condition. It is known that if the small gain condition is satisfied with constant scalings then there is a single quadratic Lyapunov function which proves robust stability with respect to all allowable time-varying perturbations. In this technical note we show… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 47 references

Robust stability analysis with quadratic separator: Parametric time-varying uncertainty case

  • T. Iwasaki
  • inProc. of IEEE CDC, 1997, pp. 4880–4885.
  • 1997
Highly Influential
6 Excerpts

Analysis and synthesis of robust control systems v ia parameterdependent Lyapunov functions

  • ——
  • IEEE Trans. on Aut. Control, vol. 41, no. 7, pp…
  • 1996
Highly Influential
4 Excerpts

S-procedure for the analysis of control systems with parametric uncertainties via paramet er-dependent Lyapunov functions

  • E. Feron, P. Apkarian, P. Gahinet
  • inProc. of ACC, 1995, pp. 968–972.
  • 1995
Highly Influential
4 Excerpts

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