Advances in Decision Making, Control, and Optimization

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 31 May 2025 | Viewed by 1060

Special Issue Editor


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Guest Editor
Department of Aerospace Engineering, Mississippi State University, Mississippi State, MS 39762, USA
Interests: decision-making under uncertainty; robust and safe autonomy; reinforcement learning; numerical optimization; multi-agent system

Special Issue Information

Dear Colleagues,

Decision-Making, Control, and Optimization (DEMACO) play a vital role in enhancing efficiency, performance, and effectiveness, and their applications can therefore be found in many areas and disciplines such as robotic and autonomous systems, transportation and logistics, healthcare, finance and economics, energy and power systems, and information technology. With various exciting and challenging research topics, this Special Issue aims to bring together the latest research advancements in DEMACO. Specifically, we would like to gather cutting-edge research that addresses the latest theoretical, methodological, and applied advancements in these critical areas. We invite original, high-quality contributions that explore innovative models and concepts, algorithms, and impactful real-world applications in decision-making processes, control systems and theory, and numerical optimization techniques. Particularly, interdisciplinary research that bridges gaps between theory and practice is highly welcomed. We look forward to your contributions to this exciting collection of works that will inspire new advancements in DEMACO. Topics of interest include but are not limited to the following:

  • Dynamic programming and reinforcement learning;
  • Robust, adaptive, and uncertainty-aware decision-making and control;
  • Machine learning and artificial intelligence in decision-making;
  • Learning to optimize, including combinational and nonconvex optimization;
  • Large-scale optimization;
  • Differentiable optimization, including nonconvex and bilevel;
  • Learning-based control;
  • Ensemble control with fast adaptation;
  • DEMACO with humans in the loop;
  • Safety-critical decision-making and control;
  • Casual decision-making;
  • Multiagent systems;
  • Applications.

Dr. Chuangchuang Sun
Guest Editor

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Keywords

  • dynamic programming and reinforcement learning
  • robust, adaptive, and uncertainty-aware decision-making and control
  • machine learning and artificial intelligence in decision-making
  • learning to optimize, including combinational and nonconvex optimization
  • large-scale optimization
  • differentiable optimization, including nonconvex and bilevel
  • learning-based control
  • ensemble control with fast adaptation
  • DEMACO with humans in the loop
  • safety-critical decision-making and control
  • casual decision-making
  • multiagent systems

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Published Papers (1 paper)

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Research

15 pages, 755 KiB  
Article
High-Order Control Lyapunov–Barrier Functions for Real-Time Optimal Control of Constrained Non-Affine Systems
by Alaa Eddine Chriat and Chuangchuang Sun
Mathematics 2024, 12(24), 4015; https://doi.org/10.3390/math12244015 - 21 Dec 2024
Viewed by 743
Abstract
This paper presents a synthesis of higher-order control Lyapunov functions (HOCLFs) and higher-order control barrier functions (HOCBFs) capable of controlling nonlinear dynamic systems while maintaining safety. Building on previous Lyapunov and barrier formulations, we first investigate the feasibility of the Lyapunov and barrier [...] Read more.
This paper presents a synthesis of higher-order control Lyapunov functions (HOCLFs) and higher-order control barrier functions (HOCBFs) capable of controlling nonlinear dynamic systems while maintaining safety. Building on previous Lyapunov and barrier formulations, we first investigate the feasibility of the Lyapunov and barrier function approach in controlling a non-affine dynamic system under certain convexity conditions. Then we propose an HOCLF form that ensures convergence of non-convex dynamics with convex control inputs to target states. We combine the HOCLF with the HOCBF to ensure forward invariance of admissible sets and guarantee safety. This online non-convex optimal control problem is then formulated as a convex Quadratic Program (QP) that can be efficiently solved on board for real-time applications. Lastly, we determine the HOCLBF coefficients using a heuristic approach where the parameters are tuned and automatically decided to ensure the feasibility of the QPs, an inherent major limitation of high-order CBFs. The efficacy of the suggested algorithm is demonstrated on the real-time six-degree-of-freedom powered descent optimal control problem, where simulation results were run efficiently on a standard laptop. Full article
(This article belongs to the Special Issue Advances in Decision Making, Control, and Optimization)
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