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The Stability Criteria with Compound Matrices

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  • Yazhuo Zhang
  • Baodong Zheng

Abstract

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.

Suggested Citation

  • Yazhuo Zhang & Baodong Zheng, 2013. "The Stability Criteria with Compound Matrices," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, June.
    • Handle: RePEc:hin:jnlaaa:930576
    DOI: 10.1155/2013/930576
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