01047nas a2200109   4500008004300000245006200043210005800105260001300163520070300176100002200879856003600901       2002                        en_Ud  00aThe reachable set of a linear endogenous switching system0 areachable set of a linear endogenous switching system  bElsevier3 aIn this work, switching systems are named endogenous when their switching pattern is controllable. Linear endogenous switching systems can be considered as a particular class of bilinear control systems. The key idea is that both types of systems are equivalent to polysystems, i.e. to systems whose flow is piecewise smooth. The reachable set of a linear endogenous switching system can be studied consequently. The main result is that, in general, it has the structure of a semigroup, even when the Lie algebra rank condition is satisfied since the logic inputs cannot reverse the direction of the flow. The adaptation of existing controllability criteria for bilinear systems is straightforward.1 aAltafini, Claudio  uhttp://hdl.handle.net/1963/3142