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Criteria for the Degree of Stability of the Linear Constant Systems

Criteria for the Degree of Stability of the Linear Constant Systems
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摘要 There are various applications of the stability theory of the first-order dynamical systems. And the stability of the non-linear control systems can be determined by its linear part. In practice, it is not enough to know the stability of the dynamical systems. Sometimes we must know the degree of stability of these systems. In this paper, we present some criteria for the degree of stability of the linear constant systems, by using the entries of the coefficient matrix A only. There are various applications of the stability theory of the first-order dynamical systems. And the stability of the non-linear control systems can be determined by its linear part. In practice, it is not enough to know the stability of the dynamical systems. Sometimes we must know the degree of stability of these systems. In this paper, we present some criteria for the degree of stability of the linear constant systems, by using the entries of the coefficient matrix A only.
出处 《Journal of Shanghai University(English Edition)》 CAS 2004年第1期32-34,共3页 上海大学学报(英文版)
基金 theNationalNaturalScienceFoundationofChina (GrantNo .10 2 710 74)
关键词 linear constant system degree of stability nonsingular H-matrix. linear constant system, degree of stability, nonsingular H-matrix.
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