A Complete Algebraic Solvability Test for theNonstrict Lyapunov

  title={A Complete Algebraic Solvability Test for theNonstrict Lyapunov},
  author={InequalityCarsten W. Scherer},
  • InequalityCarsten W. Scherer
  • Published 1995
For arbitrary equally sized square complex matrices A and Q (Q Hermitian), the paper provides a complete algebraic test for verifying the existence of a Hermitian solution X of the nonstrict Lyapunov inequality A X + XA + Q 0: If existing, we exhibit how to construct a solution. Our approach involves the validation problem for the linear matrix inequality P k j=1 (A j X j B j + B j X j A j) + Q > 0 in X j , for which we provide an algebraic solvability test and a procedure to construct… CONTINUE READING
6 Citations
12 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 12 references

The general nonstrict algebraic Riccati inequality, to appear in Linear Algebra

  • C. W. Scherer
  • 1994
Highly Influential
5 Excerpts

Algebraic Solvability Tests for Linear Matrix Inequalities

  • C. W. Scherer
  • Proceedings 32nd IEEE CDC,
  • 1993
Highly Influential
4 Excerpts

A linear matrix inequality approach to H1 control

  • P. Gahinet, P. Apkarian
  • Int. J. of Robust and Nonlinear Control
  • 1994
1 Excerpt

Interior point polynomial methods in convex program- ming: Theory and applications

  • Y. Nestereov, A. Nemirovsky
  • (SIAM Studies in Applied Mathematics,
  • 1994

The matrix equation AX + XB = C 

  • A. Nemirovsky Y. Nestereov
  • SIAM J . Appl . Math .
  • 1974

Similar Papers

Loading similar papers…