Interior Ellipsoidal Bounds for the Attainability Sets of Linear Delay Control Systems

A new set-membership estimation method based on zonotopes and ellipsoids

“…Based on Fogel and Huang (1982), Maksarov and Norton (2002) obtain the minimum volume algorithm, which was applied to the state estimation of a linear, discrete-time dynamical system. Russian scholars have studied the problem of computing the outer and inner boundary of a UBB noise system with the ellipsoid method, and have achieved considerable research results (Chernousko, 2005a, 2005b; Kurzhanski and Varaiya, 2002, 2007; Zhou et al, in press; Vostrikov, 2003). Ellipsoid outer-bounding of the set of all feasible state vectors under model uncertainty is a natural extension of state estimation for deterministic models with UBB state perturbations and measurement noise.…”