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2013 The Stability Criteria with Compound Matrices
Yazhuo Zhang, Baodong Zheng
Abstr. Appl. Anal. 2013(SI20): 1-5 (2013). DOI: 10.1155/2013/930576


The bifurcation problem is one of the most important subjects in dynamical systems. Motivated by M. Li et al. who used compound matrices to judge the stability of matrices and the existence of Hopf bifurcations in continuous dynamical systems, we obtained some effective methods to judge the Schur stability of matrices on the base of the spectral property of compound matrices, which can be used to judge the asymptotical stability and the existence of Hopf bifurcations of discrete dynamical systems.


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Yazhuo Zhang. Baodong Zheng. "The Stability Criteria with Compound Matrices." Abstr. Appl. Anal. 2013 (SI20) 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095507
MathSciNet: MR3067064
Digital Object Identifier: 10.1155/2013/930576

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI20 • 2013
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