Contents

Proceedings of the Steklov Institute of Mathematics

Vol. 332, No. 1, 2026

Research Articles

Proximal Aiming in Weak KAM Theory with Nonsmooth Lagrangian

Yurii Averboukh p. 1  abstract

Controllability of the General Model of a Wheeled Robot with Two Trailers

A. A. Ardentov p. 18  abstract

Existence of a Nash Equilibrium for a Problem with Monotone Functions

A. V. Arutyunov and S. E. Zhukovskiy p. 27  abstract

Sub-Riemannian Geodesics and Shortest Arcs on the Universal Covering of the Full Connected Isometry Group of the Heisenberg Group with Left-Invariant Sub-Riemannian Metric

V. N. Berestovskii and I. A. Zubareva p. 36  abstract

Semicontinuous Minimax Solutions of the Cauchy Problem for a Path-Dependent Hamilton–Jacobi Equation

M. I. Gomoyunov and N. Yu. Lukoyanov p. 51  abstract

Aerodynamic Stabilization of the Motion of a Rod in a Planar Rarefied Medium

A. A. Davydov and A. Yu. Plakhov p. 62  abstract

On the Number of Switching Points in Time-Optimal Controls of a Linear System

Omri Dalin and Alexander Ovseevich p. 75  abstract

Boundary of the Reachable Set of a Control System on the Plane under the Assumption of Linear Independence of Control Vector Fields

S. A. Zheglov and D. A. Abraamian p. 81  abstract

Finsler and Sub-Finsler Geodesics with Chattering

M. I. Zelikin and L. V. Lokutsievskiy p. 91  abstract

Compositions of Two Mappings on Two-Step Carnot Groups

M. B. Karmanova p. 108  abstract

Self-Dual Sets of the Antipolar Correspondence Defined by a Lorentzian Form

E. A. Ladeishchikov p. 136  abstract

Almost Lorentzian Problems in the Grushin \(\alpha\)-Plane

V. S. Petukhov and Yu. L. Sachkov p. 140  abstract

Notes on Invisibility and Zero Resistance in Billiards

Alexander Plakhov p. 152  abstract

Existence of Longest Arcs for Left-Invariant Three-Dimensional Contact Sub-Lorentzian Structures

A. V. Podobryaev p. 161  abstract

Homogeneity-Based Linear Quadratic Regulator Design

Andrey Polyakov and Yury Orlov p. 173  abstract

Eigensets of Switching Dynamical Systems

Vladimir Yu. Protasov p. 186  abstract

Chattering Extremals in Control-Affine Hamiltonian Systems with Control in a Square

M. I. Ronzhina and N. B. Melnikov p. 198  abstract

Quantization of the Theory of Topological Insulators

Armen Sergeev p. 214  abstract

On \(\varepsilon\)-Optimality Conditions in Nonconvex Optimal Control Problems

A. S. Strekalovsky p. 223  abstract

Stronger Bounds on the Bellman Function in an Optimal Control Problem with Control in a Disk

Roland Hildebrand and Rahaf Habib p. 242  abstract