B. Jakubczyk

activity

20122023

collaborators

3 papers

math.OC2023

Conjugate points of dynamic pairs and control systems

Bronisław Jakubczyk, Wojciech Kryński

We study the geometry of dynamic pairs $(X, V)$ on a manifold $M$ , where $X$ is a vector field and $V$ is a distribution on $M$ , both satisfying a regularity con…

math.DG2018

Exterior multiplication with singularities: a Saito's theorem on vector bundles

Bronislaw Jakubczyk

Let $E$ be a vector bundle over a suitable differential manifold $M$ and let $\land^{p} E$ denote $p$ -exterior product of $E$ . Given sections $ω_{1}, \dots, ω_{k}$ of $E$ and a section $η…

math.OC2012

Second order conditions for optimality and local controllability of discrete-time systems

M. Barbero-Liñán, B. Jakubczyk

We study local controllability and optimal control problems for invertible discrete-time control systems. We present second order necessary conditions for optimality and sufficient…