Degree of Stability for the Interval Matrix
Han Jin · Hebei ke-ji daxue xuebao · 2002
The degree of stability for the interval matrix N and the degree of robust stability for the interval dynamical system are introduced respectively,and new lemma(sufficient condition) is presented as well.Some simple practical criteria of stability are obtained by means of the lemma and matrix technique,which use only the entries of the matrix P and Q.Such that the degree of robust stability (include the degree of asymptotic stability) for the interval dynamical systems X·(t)=NX(t) is considered.The new results obtained in this paper include the results about the degree of stability for the linear systems with constant coefficients presented by HUANG Ting zhu.Also,the results of point matrix in the literature(LIAO Xuao xin 1982,GAO Wei bing 1965,Li Lei 1994)are extended to the interval matrix,and the stability of the interval matrix in earlier papers presented by XU Dao yi and SHI Zhi cheng et al.is generalized into the degree of stability.