Title :
Directional stability radius: a stability analysis tool for uncertain polynomial systems
Author :
Kawabata, Keishi ; Mori, Takehiro ; Kuroe, Yasuaki
Author_Institution :
Dept. of Electron. & Inf. Sci., Kyoto Inst. of Technol., Japan
fDate :
6/1/2003 12:00:00 AM
Abstract :
Coefficients of characteristic polynomials for stable parametrically uncertain systems are allowed to perturb to some extent for stability. Stability radius is a useful tool to assess the allowance of the stability for the systems. To enhance its usefulness, we modify stability radius so that it takes into account of given restricted perturbations, which we call directional stability radius. For an application, we show shifted-Hurwitz stability conditions and a stability analysis method for interval polynomial systems using the directional stability radii.
Keywords :
control system analysis; polynomials; stability criteria; uncertain systems; characteristic polynomial coefficients; directional stability radii; directional stability radius; interval polynomial systems; shifted-Hurwitz stability conditions; stability analysis tool; stable parametrically uncertain systems; uncertain polynomial systems; Computational efficiency; Costs; Information science; Polynomials; Proposals; Stability analysis; Testing; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.812785
