Stability analysis of interval matrices: improved bounds

New sufficient conditions for the stability of interval matrices are presented, based on the Lyapunov stability approach as well as on the frequency-domain approach. The conditions help to overcome the conservatism of the existing criteria for the stability of interval matrices based on a matrix approach. Several numerical examples are given to demonstrate the new conditions and to compare them with results previously reported.

[1]  Sheng-De Wang,et al.  Root-locus approach to the stability analysis of interval matrices , 1987 .

[2]  Rama K. Yedavalli Stability analysis of interval matrices: another sufficient condition , 1986 .

[3]  M. Argoun Allowable coefficient perturbations with preserved stability of a Hurwitz polynomial , 1986 .

[4]  Chao Shun Zhou,et al.  The stability of the grey linear system , 1986 .

[5]  B. R. Barmish,et al.  Counter-example to a recent result on the stability of interval matrices by S. Bialas , 1984 .

[6]  Xu Daoyi Simple criteria for stability of interval matrices , 1985 .

[7]  Wei-Bin Gao,et al.  A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices , 1986 .

[8]  J. Guiver,et al.  Strictly Hurwitz property invariance of quartics under coefficient perturbation , 1983 .

[9]  S. Bialas,et al.  Necessary and Sufficient Conditions for the Stability of Interval Matrices , 1983 .

[10]  Peter Lancaster,et al.  The theory of matrices , 1969 .

[11]  James A. Heinen,et al.  Sufficient conditions for stability of interval matrices , 1984 .

[12]  K. S. Yeung Linear system stability under parameter uncertainties , 1983 .

[13]  B. Barmish Invariance of the strict Hurwitz property for polynomials with perturbed coefficients , 1983, The 22nd IEEE Conference on Decision and Control.

[14]  W. Karl,et al.  Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’† , 1984 .