Investigation of robust stability of fractional order multilinear affine systems: 2 q-convex parpolygon approach

摘要

This paper discusses the robust stability problem of fractional order systems with the multi-linear affine uncertainty structure. The 2q-convex parpolygon approach has been extended to compute the value set of the fractional order uncertain system and to investigate the robust stability via zero exclusion principle. An illustrative example is included for fractional order multi-linear affine system to present the advantages of the 2q-convex parpolygon approach over classical value set computation methods in the stability investigation.