The turnpike property in contemporary macroeconomics asserts that if an economic planner
seeks to move an economy from one level of capital to another, then the most efficient path …

We present a new proof of the turnpike property for nonlinear optimal control problems,
when the running target is a steady control-state pair of the underlying system. Our strategy …

This paper presents an approach to motion planning for left-invariant kinematic systems
defined on the six-dimensional frame bundles of symmetric spaces of constant cross …

This paper proposes a procedure to design a Rie-mannian metric to generate a smooth and
energy-efficient input trajectory for Hamiltonian systems with one degree of freedom …

This thesis is dedicated to two problems arising from geometric control theory, regarding
control-affine systems $\dot q= f_0 (q)+\sum_ {j= 1}^ m u_j f_j (q) $, where $ f_0 $ is called …

A class of nonlinear control-affine systems with bounded time-varying drift is considered. It is
assumed that the control vector fields together with their iterated Lie brackets satisfy …

Dynamics, from how a car moves up to the evolution of a quantum particle, are modelled in
general by differential equations. Control theory deals with dynamics where it is possible to …

Доклад посвящен развитию конструктивного подхода к решению задачи стабилизации
положений равновесия нелинейных систем с дефицитом управляющих воздействий …