The stability robustness of generalized eigenvalues
Authors:
- L. QiuLQL. Qiu
- E.J. DavisonEDE.J. Davison
- 1 June 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 37 (6) , 886-891
Abstract
The concept of stability radius is generalized to matrix pairs. A matrix pair is said to be stable if its generalized eigenvalues are located in the open left half of the complex plane. The stability radius of a matrix pair (A, B) is defined to be the norm of the smallest perturbation ΔA such that (A + ΔA, B) is unstable. The purpose is to estimate the stability radius of a given matrix pair. Depending on whether the matrices under consideration are complex or real, the problem can be classified into two cases. The complex case is easy and a complete solution is provided. The real case is more difficult, and only a partial solution is givenKeywords
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