Projected incrementally scattering passive systems on closed convex sets

Abstract

In this article we show that the projected dynamical system obtained by restricting the state of an incrementally scattering passive system to a closed and convex subset K of the state space (a real Hilbert space), is also an incrementally scattering passive system. First we show that the projection of a maximal dissipative operator to the tangent cones of K is again maximal dissipative, hence, it determines a contraction semigroup.