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New Lower Bounds of Solution of Generalized Lyapunov Equations

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Informatics and Management Science III

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 206))

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Abstract

This paper discusses further results for the solution bounds of the algebraic generalized Lyapunov equations (the GLE). Some new lower matrix bounds for the solutions of the GLE are derived by making use of linear algebraic techniques. It is shown that, from the obtained results, new lower solution bounds of the continuous and discrete Lyapunov equations can also be obtained directly.

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Acknowledgments

The authors would like to thank the National Science Council, the Republic of China, for financial support of this research under the grant NSC 100-2221-E-230-009.

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Correspondence to Chien-Hua Lee .

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© 2013 Springer-Verlag London

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Lee, CH., Liao, PS. (2013). New Lower Bounds of Solution of Generalized Lyapunov Equations. In: Du, W. (eds) Informatics and Management Science III. Lecture Notes in Electrical Engineering, vol 206. Springer, London. https://doi.org/10.1007/978-1-4471-4790-9_87

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  • DOI: https://doi.org/10.1007/978-1-4471-4790-9_87

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4789-3

  • Online ISBN: 978-1-4471-4790-9

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