SIAM Journal on Control and Optimization, Vol.45, No.6, 2054-2064, 2007
On the intersection of a Clarke cone with a Boltyanskii cone
We provide an example of two closed sets S(1), S(2) subset of R(4) such that S(1) boolean AND S(2) = {0}. Yet, at the origin, a Boltyanskii tangent cone C(1) to S(1) and the Clarke tangent cone C(2) to S(2) are strongly transversal. This settles a question originally proposed by H. Sussmann.