Comments on "On the Lyapunov matrix equation"
- 1 December 1975
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 20 (6), 814-815
- https://doi.org/10.1109/TAC.1975.1101086
Abstract
The Lyapunov matrix equationA'Q + QA = - Pis considered in the above paper, where two fundamental inequalities are derived which are satisfied by the extremal eigenvalues of the matricesQandPprovidedAis a stability matrix. Similar results are derived by an alternate more simple and straightforward approach using matrix norms.Keywords
This publication has 4 references indexed in Scilit:
- On the Lyapunov matrix equationIEEE Transactions on Automatic Control, 1974
- The minimal eigenvalue of the Lyapunov transform †Linear and Multilinear Algebra, 1973
- Matrices C with Cn → 0Journal of Algebra, 1964
- Control System Analysis and Design Via the “Second Method” of Lyapunov: I—Continuous-Time SystemsJournal of Basic Engineering, 1960