Robust stability of systems with both parametric and dynamic uncertainties

This paper studies the robust stability of a single-input–single-output systems with both parametric and dynamic uncertainties. The parametric uncertainties of the system are described by a polytopic perturbation mode, and the dynamic uncertainties are characterized by an integral quadratic constraint. Based on the concepts of biconvex and convex–concave functions and their properties, the problem of stability checking is discussed, and for different uncertainty structures of the system, the finite vertex-checking results and the edge-checking results are presented.