Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations. (English) Zbl 1006.93056

Choi, Han Ho; Kuc, Tae-Yong

Automatica 38, No. 7, 1147-1152 (2002).

Summary: We propose lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations. We give comparisons between the parallel estimates. Finally, we give examples showing that our bounds can be better than the previous results for some cases.

MSC:

93D15	Stabilization of systems by feedback
15A24	Matrix equations and identities
15A15	Determinants, permanents, traces, other special matrix functions
15A45	Miscellaneous inequalities involving matrices

Keywords:

eigenvalue; trace; determinant; continuous algebraic Riccati equations; Lyapunov matrix equations

Software:

LMI toolbox

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