Control of multi-agent systems: Results, open problems, and applications

B Piccoli - Open Mathematics, 2023 - degruyter.com
The purpose of this review article is to present some recent results on the modeling and
control of large systems of agents. We focus on particular applications where the agents are …

Method for solving bang-bang and singular optimal control problems using adaptive Radau collocation

ER Pager, AV Rao - Computational Optimization and Applications, 2022 - Springer
A method is developed for solving bang-bang and singular optimal control problems using
adaptive Legendre–Gauss–Radau collocation. The method is divided into several parts …

The switch point algorithm

M Aghaee, WW Hager - SIAM Journal on Control and Optimization, 2021 - SIAM
The switch point algorithm is a new approach for solving optimal control problems whose
solutions are either singular or bang-bang or both singular and bang-bang, and which …

Fractional power rate reaching law for augmented sliding mode performance

G Rohith - Journal of the Franklin Institute, 2021 - Elsevier
High-frequency control switching, chattering, limits the practical application of sliding mode
controllers. This paper proposes an enhanced reaching law, viz., Fractional Power Rate …

[HTML][HTML] Improved sliding mode control for permanent magnet synchronous motor speed regulation system

J Qian, C Ji, N Pan, J Wu - Applied Sciences, 2018 - mdpi.com
Due to advantages such as high speed, high accuracy, low maintenance and high reliability,
permanent magnet synchronous motor (PMSM) servo systems have been employed in …

Turnpike property in optimal microbial metabolite production

JB Caillau, W Djema, JL Gouzé, S Maslovskaya… - Journal of Optimization …, 2022 - Springer
We consider the problem of maximization of metabolite production in bacterial cells
formulated as a dynamical optimal control problem (DOCP). According to Pontryagin's …

Loss control regions in optimal control problems

T Bayen, A Bouali, L Bourdin, O Cots - Journal of Differential Equations, 2024 - Elsevier
This paper addresses optimal control problems with loss control regions. In that context the
state space is partitioned into disjoint subsets, referred to as regions, which are classified …

Chattering Phenomena in Time-Optimal Control for High-Order Chain-of-Integrator Systems With Full State Constraints

Y Wang, C Hu, Z Li, Y Lin, S Lin… - IEEE Transactions on …, 2025 - ieeexplore.ieee.org
Time-optimal control for high-order chain-of-integrator systems with full state constraints
remains an open and challenging problem within the discipline of optimal control. The …

Chattering Phenomena in Time-Optimal Control for High-Order Chain-of-Integrator Systems with Full State Constraints (Extended Version)

Y Wang, C Hu, Z Li, Y Lin, S Lin, S He - arxiv preprint arxiv:2403.17675, 2024 - arxiv.org
Time-optimal control for high-order chain-of-integrator systems with full state constraints
remains an open and challenging problem within the discipline of optimal control. The …

Optimal spiral-like solutions near a singular extremal in a two-input control problem

L Manita, M Ronzhina - Discrete and Continuous Dynamical …, 2022 - aimsciences.org
We study an optimal control problem affine in two-dimensional bounded control, in which
there is a singular point of the second order. In the neighborhood of the singular point we …