A Necessary Condition for Dynamic Equivalence

A Necessary Condition for Dynamic Equivalence

If two control systems on manifolds of the same dimension are dynamic equivalent, we prove that either they are static equivalent –i.e. equivalent via a classical diffeomorphism– or they are both ruled; for systems of different dimensions, the one of higher dimension must be ruled. A ruled system is one whose equations define at each point in the state manifold, a ruled submanifold of the tange...

A Necessary Condition for Weyl-Heisenberg Frames

A necessary condition for multiple objective fractional programming

In this paper, we establish a proof for  a  necessary condition for  multiple objective fractional programming. In order to derive the set of necessary conditions, we employ an equivalent parametric problem. Also, we  present the related semi parametric model.

a necessary condition for weyl-heisenberg frames

A necessary condition for a Shearlet system to be a frame via admissibility

    Necessary conditions for  shearlet  and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.