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- Title
Lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation.
- Authors
JUAN ZHANG; JIANZHOU LIU; QUANBING LI
- Abstract
The Lyapunov matrix differential equation has widely applications in control theory and linear system. In this paper, applying the properties of exponential matrices and integrable functions, we obtain lower bounds on eigenvalue summation for the solution of this equation using eigenvalue inequalities and majorization inequalities. Finally, we give a corresponding numerical example to show the effectiveness of the derived bounds.
- Subjects
CONTROL theory (Engineering); MACHINE theory; EIGENVALUE equations; LYAPUNOV functions; DIFFERENTIAL equations
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p987
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw008