Vertex Stability of Grey Discrete Dynamic Systems

Abstract:

In this paper, the vertex stability problem for a class of grey discrete dynamic systems was investigated by means of the matrix eigenvalues theory and spectral radius approach. Several necessary and sufficient conditions are obtained which can guarantee the vertex stability of grey discrete dynamic systems. The equivalence relation between the vertex stability and Schur stability of grey discrete dynamic systems , as well as the equivalence relation between the vertex stability for grey discrete dynamic systems and its boundary matrix are established.

• Periodical: Applied Mechanics and Materials (Volumes 511-512)
• Pages: 1072-1076
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.511-512.1072
• Online since: February 2014
• Authors: Jian Zhu Jia, Chen Guang Yan, Jin Fang Han
• Keywords: Eigenvalues Theory, Grey Discrete Dynamic Systems, Schur Stability, Spectral Radius Approach, Vertex Stability

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