Directional Stability Radius —A Stability Analysis Tool for Uncertain Polynomial Systems—

Keishi Kawabata; Takehiro Mori; Yasuaki Kuroe

doi:10.11499/sicep.2002.0.144.0

SICE Annual Conference 2002

DOI https://doi.org/10.11499/sicep.2002.0.144.0

Conference information

Host: The Society of Instrument and Control Engineers

Co-host: IEEE/Industiral Electronic Society, IEEE/Robotics and Automation Society, IEEE/Control System Society

Directional Stability Radius

—A Stability Analysis Tool for Uncertain Polynomial Systems—

Keishi Kawabata, Takehiro Mori, Yasuaki Kuroe

Author information

Keywords: directional stability radius, interval polynomial, shifted-Huriwtz stability

CONFERENCE PROCEEDINGS FREE ACCESS

Pages 144

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Abstract

Coefficients of characteristic polynomials for parametrically uncertain systems are allowed to perturb to some extent. Stability radius is a useful tool to analyze 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 an analysis method for interval polynomial systems using the directional stability radii.

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