The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

The mathematical theory of control became a? eld of study half a century ago in attempts to
clarify and organize some challenging practical problems and the methods used to solve …

Lecture notes of an introductory course on control theory on Lie groups. Controllability and
optimal control for left-invariant problems on Lie groups are addressed. A general theory is …

For homogeneous bilinear control systems, the control sets are characterized using a Lie
algebra rank condition for the induced systems on projective space. This is based on a …

Ideally rigid objects establish sustained contact with one another via complete chatter (aka
Zeno behavior), ie, an infinite sequence of collisions accumulating in finite time …

For bilinear control systems in $\mathbb {R}^ d $ we prove, under an accessibility
hypothesis, the existence of a nontrivial compact set $ D\subset\mathbb {R}^ d $ satisfying …

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 introduce the notion of orbit equivalence for semi-group actions and the
concept of generalized linear control system on smooth manifold. We prove that, under …

In this paper we present necessary and sufficient conditions to guarantee the existence of
invariant cones, for semigroup actions, in the space of the $ k $-fold exterior product. As …