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Outer Approximation of the Minimal Disturbance Invariant Set of PWL Systems with Bounded Disturbances

The paper considers piecewise linear system with bounded disturbances (PWLBD system). Some properties of the minimal disturbance invariant set Finfin of PWLBD systems are discussed and an algorithm for the computation of its outer bounds is presented. In general, the set Finfin of PWLBD system is non-convex and a union of many polytopes. The resulting outer bounds are convex and remain disturbance invariant property