Set operations and order reductions for constrained zonotopes

This paper presents methods for using zonotopes and constrained to improve the practicality of a wide variety set-based operations commonly used in control theory. The proposed extend use represent sets resulting from including halfspace intersections, convex hulls, robust positively invariant , Pontryagin differences. Order reduction techniques are also presented that provide lower-complexity inner-approximations zonotopes. Numerical examples demonstrate efficacy computational advantages zonotope-based set representations dynamic system analysis control.