Analysis of the Lyapunov equation using generalized positive real matrices
- 1 June 1980
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 25 (3), 560-563
- https://doi.org/10.1109/tac.1980.1102391
Abstract
In this paper, a representation of the solution to the Lyapunov matrix equation is derived using generalized positive real matrices. As an application, some connections between the solution matrix and the classical Bezoutian matrix are made.Keywords
This publication has 21 references indexed in Scilit:
- Application of Hankel matrices of Markov Parameters to the solutions of the Routh-Hurwitz and the Schur-Cohn problemsJournal of Mathematical Analysis and Applications, 1979
- On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problemLinear Algebra and its Applications, 1978
- More on Routh's array and Bézoutian matricesInternational Journal of Control, 1978
- Routh's array and Bézoutian matricesInternational Journal of Control, 1977
- New reductions of Hurwitz determinantsInternational Journal of Control, 1973
- Matrices, polynomials, and linear time-variant systemsIEEE Transactions on Automatic Control, 1973
- Hurwitz polynomials, LC and RC positive real functions, and the Hermite matrixIEEE Transactions on Circuit Theory, 1972
- On the computation of the Cauchy indexQuarterly of Applied Mathematics, 1972
- Bezoutiants, Elimination and LocalizationSIAM Review, 1970
- Ho's algorithm, commutative diagrams, and the uniqueness of minimal linear systemsInformation and Control, 1967