A Complete Algebraic Solvability Test for theNonstrict Lyapunov

@inproceedings{Scherer1995ACA,
  title={A Complete Algebraic Solvability Test for theNonstrict Lyapunov},
  author={InequalityCarsten W. Scherer},
  year={1995}
}
  • 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
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