论文信息 - The stability robustness of generalized eigenvalues

The stability robustness of generalized eigenvalues

The stability robustness of the generalized eigenvalues of matrix pairs with real perturbations is considered. The problem is estimate the norm of the smallest destabilizing perturbation on a stable matrix pair. Sufficient conditions on the norm of the perturbations are given which guarantee the stability of the perturbed matrix pair. The results obtained can be applied to the stability robustness analysis of singularly perturbed systems and descriptor systems and to a new kind of problem called the minimum phase robustness problem.<<ETX>>

Edward J. Davison | Li Qiu | E. Davison | L. Qiu | Li Qiu

[1] E. Davison,et al. Perfect control of the robust servomechanism problem , 1987 .

[2] D. Cobb,et al. Descriptor variable systems and optimal state regulation , 1983 .

[3] Edward J. Davison,et al. A new method for the stability robustness determination of state space models with real perturbations , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[4] E. Davison,et al. Properties and calculation of transmission zeros of linear multivariable systems , 1974, Autom..

[5] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[6] G. Stewart. Gershgorin theory for the generalized eigenvalue problem , 1975 .

[7] G. Stewart. On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$ , 1972 .

[8] Rajni V. Patel,et al. Quantitative measures of robustness for multivariable systems , 1980 .