On the Lyapunov matrix equation

On the Lyapunov matrix equation

In this paper the inequality which is satisfied by the determinant of the solution of the Lyapunov matrix equation A'Q + QA = - D is presented. The result makes possible a lower estimate of product eigenvalues of the matrix Q and dependence from eigenvalues of the matrices A and D . This result...

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Veröffentlicht in:IEEE transactions on automatic control 1980-08, Vol.25 (4), p.813-814
1. Verfasser: Bialas, S.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic stability
Constraint theory
Delay effects
Eigenvalues and eigenfunctions
Equations
Interconnected systems
Linear matrix inequalities
Lyapunov method
Sufficient conditions
Testing
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Zusammenfassung:In this paper the inequality which is satisfied by the determinant of the solution of the Lyapunov matrix equation A'Q + QA = - D is presented. The result makes possible a lower estimate of product eigenvalues of the matrix Q and dependence from eigenvalues of the matrices A and D . This result corresponds to those presented in [2] and [3], where an estimate of the extremal eigenvalues of the matrix Q is presented. This estimate depends on the eigenvalues of the matrices A and D .
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1980.1102438