Structured and Simultaneous Lyapunov Functions for System Stability Problems

  title={Structured and Simultaneous Lyapunov Functions for System Stability Problems},
  author={Stephen Boyd and Qinping Yang},
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of ẋ = Ax for some appropriate A. The existence of such a Lyapunov function can be determined by solving a convex program. We present several numerical methods for these optimization problems. A simple numerical example is given. 1 Notation and preliminaries IR (IR+) will denote the set of real numbers… CONTINUE READING
Highly Cited
This paper has 142 citations. REVIEW CITATIONS

5 Figures & Tables



Citations per Year

143 Citations

Semantic Scholar estimates that this publication has 143 citations based on the available data.

See our FAQ for additional information.