Vertex Stability of Grey Discrete Dynamic Systems

Vertex Stability of Grey Discrete Dynamic Systems

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...

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Veröffentlicht in:Applied Mechanics and Materials 2014-02, Vol.511-512 (Sensors, Mechatronics and Automation), p.1072-1076
Hauptverfasser: Zhu Jia, Jian, Han, Jin Fang, Yan, Chen Guang
Format: Artikel
Sprache:eng
Schlagworte:
Boundaries
Dynamic tests
Dynamical systems
Dynamics
Eigenvalues
Equivalence
Spectra
Stability
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Zusammenfassung: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.
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.511-512.1072