A necessary and sufficient conditions and a sufficient conditions of the Hurwitz stability of interval matrices

Xiqin He · 2005

The problem of stability of interval matrix in control theory is difficult and unavoidable.In terms of vector comparison principle,Hurwitz stability of interval matrix was discussed on the target of continuous interval system.And a sufficient condition and a necessary and sufficient condition of Hurwitz stability of interval matrices were obtained,that is if the text matrix A_0+D is Hurwitz stability,which is structured by the vertex of interval matrix,then the interval matrix is Hurwith stability.

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