Abstract
In this paper, the Schur D-stability and vertex stability of matrices are investigated by means of the matrix eigenvalue theory and spectral radius approach. Four new necessary and sufficient conditions are obtained which guarantee the Schur D-stability of matrices. That the conditions limit of tridiagonal matrix and non-negative matrix in the previous literatures are abandoned. These results are wider applicable and less conservative than those in recent criteria. Three equivalence relations between the Schur D-stability, Schur stability and vertex stability are established.
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Acknowledgments
This work was supported in part by NNSFC under Grant Nos. 70271006, 60674107.
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Han, J. (2013). New Necessary and Sufficient Conditions for Schur D-Stability of Matrices. In: Sun, Z., Deng, Z. (eds) Proceedings of 2013 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38460-8_17
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DOI: https://doi.org/10.1007/978-3-642-38460-8_17
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