Title :
Sensitivity of stable linear systems
Author :
Shane, Barbara A. ; Barnett, S.
Author_Institution :
University of Bradford, Bradford, Yorkshire, England
fDate :
2/1/1972 12:00:00 AM
Abstract :
It is shown that the coefficients in the characteristic equation of a constant linear system can be altered by finite amounts without making the system unstable. The perturbations depend on a single parameter and are straightforward to calculate. Bounds are given for the real parts of the roots of the perturbed polynomial.
Keywords :
Polynomials; Sensitivity analysis; Stability; Councils; Differential equations; Linear systems; Lyapunov method; Polynomials; Stability; Sufficient conditions; Symmetric matrices; Writing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1099893
