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

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

Software:

LMI toolbox
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References:

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