The Stability Criteria with Compound Matrices | Zendy

Yazhuo Zhang | Zendy; Baodong Zheng | Zendy

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The Stability Criteria with Compound Matrices

Author(s) -

Yazhuo Zhang,

Baodong Zheng

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/930576

Subject(s) - mathematics , stability (learning theory) , dynamical systems theory , hopf bifurcation , pure mathematics , property (philosophy) , hurwitz matrix , matrix (chemical analysis) , mathematical analysis , bifurcation , nonlinear system , parametric statistics , philosophy , statistics , physics , materials science , epistemology , composite material , quantum mechanics , machine learning , computer science

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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