Let S be a subsemigroup with nonempty interior of a connected complex simple Lie group G.
It is proved that S= G if S contains a subgroup G (α)≈ Sl (2, C) generated by the exp g_±α …

INVARIANT CONES AND CONVEX SETS FOR BILINEAR CONTROL SYSTEMS AND
PARABOLIC TYPE OF SEMIGROUPS 1. Introduction Letx = Ax + uBx Page 1 Journal of …

This paper considers monotonic (or causal) homotopy between trajectories of control
systems. The main result is the construction of an analogue of the simply connected …

Let G be a noncompact connected semisimple Lie group, with finite center. In this paper we
study the action of semigroups S of G, with nonempty interior, acting on maximal compact …

In this chapter, we present an overview of the theory of semigroups in semi-simple Lie
groups and its applications to dynamical systems, control systems, and random dynamical …

In this paper we continue to develop the topological method to get semigroup generators of
semi-simple Lie groups. Consider a subset Γ ⊂ G Γ⊂ G that contains a semi-simple …

The controllability behavior of nonlinear control systems is described by associating
semigroups to locally maximal subsets of complete controllability, ie, local control sets …

In this paper we study mid-reversibility of subsemigroups acting on homogeneous spaces.
The mid-reversor set of a subsemigroup is defined and it is described in terms of the …

This paper studies reversibility of subsemigroups acting on homogeneous spaces. The
reversor set of a subsemigroup is defined and it is related to the invariant control sets for …

Let G be a Lie group and LCG a Lie subgroup. We give necessary and sufficient conditions
for a family of cosets of L to generate a subsemigroup with nonempty interior in G. We apply …