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This paper studies the continuous-time dynamics generated by control-theoretic Lagrangian methods for equality-constrained optimization. In particular, we consider dynamics induced by proportional-integral and feedback linearization…

最优化与控制 · 数学 2026-05-26 Simone Pirrera , Francesco Ripa , Daniele Astolfi , Vito Cerone , Sophie M. Fosson , Diego Regruto

This paper deals with some reachability issues for piecewise linear switched systems with time-dependent coefficients and multiplicative noise. Namely, it aims at characterizing data that are almost reachable at some fixed time T > 0…

最优化与控制 · 数学 2018-10-29 Dan Goreac

The purpose of this paper is to address a class of hybrid optimal control problems constrained with hyperelasticity and constant global volume. This type of problems can intervene for example in the mechanical aspects of cardiac activity.…

最优化与控制 · 数学 2024-09-06 Sébastien Court

This paper presents a convex optimization-based method for finding the globally optimal solutions of a class of mixed-integer non-convex optimal control problems. We consider problems that are non-convex in the input norm, which is a…

最优化与控制 · 数学 2019-11-20 Danylo Malyuta , Michael Szmuk , Behcet Acikmese

Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application of nonlinear optimal control algorithms. To that end,…

最优化与控制 · 数学 2023-04-10 Prithvi Akella , Aaron D. Ames

This paper presents an end-to-end framework for robust structure/control optimization of an industrial benchmark. When dealing with space structures, a reduction of the spacecraft mass is paramount to minimize the mission cost and maximize…

系统与控制 · 电气工程与系统科学 2023-11-28 Francesco Sanfedino , Daniel Alazard , Andy Kiley , Mark Watt , Pedro Simplicio , Finn Ankersen

We propose a machine learning algorithm for solving finite-horizon stochastic control problems based on a deep neural network representation of the optimal policy functions. The algorithm has three features: (1) It can solve…

综合经济学 · 经济学 2024-12-09 Xianhua Peng , Steven Kou , Lekang Zhang

We introduce an interpolation framework for H-infinity model reduction founded on ideas originating in optimal-H2 interpolatory model reduction, realization theory, and complex Chebyshev approximation. By employing a Loewner "data-driven"…

数值分析 · 数学 2013-09-03 Garret Flagg , Christopher Beattie , Serkan Gugercin

We study in this paper a class of constrained linear-quadratic (LQ) optimal control problem formulations for the scalar-state stochastic system with multiplicative noise, which has various applications, especially in the financial risk…

系统与控制 · 计算机科学 2017-09-19 Weipin Wu , Jianjun Gao , Duan Li , Yun Shi

In this paper a new framework has been applied to the design of controllers which encompasses nonlinearity, hysteresis and arbitrary density functions of forward models and inverse controllers. Using mixture density networks, the…

最优化与控制 · 数学 2018-01-09 Randa Herzallah

State-space formulas are derived for the minimum-entropy $\mathcal{H}_\infty$ controller when the plant and controller are constrained to be block-lower-triangular. Such a controller exists if and only if: the corresponding unstructured…

系统与控制 · 计算机科学 2014-09-19 Laurent Lessard

This paper considers the problem of maintaining global connectivity of a multi-robot system while executing a desired coordination task. Our approach builds on optimization-based feedback design formulations, where the nominal cost function…

最优化与控制 · 数学 2023-06-29 Pio Ong , Beatrice Capelli , Lorenzo Sabattini , Jorge Cortes

Policy iteration (PI) is a widely used algorithm for synthesizing optimal feedback control policies across many engineering and scientific applications. When PI is deployed on infinite-horizon, nonlinear, autonomous optimal-control…

最优化与控制 · 数学 2025-07-15 Tobias Ehring , Behzad Azmi , Bernard Haasdonk

HIFOO is a public-domain Matlab package initially designed for Hinfinity fixed-order controller synthesis, using nonsmooth nonconvex optimization techniques. It was later on extended to multi-objective synthesis, including strong and…

最优化与控制 · 数学 2010-10-08 Denis Arzelier , Deaconu Georgia , Suat Gumussoy , Didier Henrion

We consider the framework of convex high dimensional stochastic control problems, in which the controls are aggregated in the cost function. As first contribution, we introduce a modified problem, whose optimal control is under some…

For a general entropy-regularized stochastic control problem on an infinite horizon, we prove that a policy iteration algorithm (PIA) converges to an optimal relaxed control. Contrary to the standard stochastic control literature, classical…

最优化与控制 · 数学 2026-05-14 Yu-Jui Huang , Zhenhua Wang , Zhou Zhou

In this paper, we solve the long-standing fundamental problem of irregular linear--quadratic (LQ) optimal control, which has received significant attention since the 1960s. We derive the optimal controllers via the key technique of finding…

最优化与控制 · 数学 2019-02-15 Huanshui Zhang , Juanjuan Xu

This paper provides a comprehensive analysis of the design of optimal structured and sparse $H_\infty$ controllers for continuous-time linear time-invariant (LTI) systems. Three problems are considered. First, designing the sparsest…

最优化与控制 · 数学 2025-05-07 Zhaohua Yang , Pengyu Wang , Haishan Zhang , Shiyue Jia , Nachuan Yang , Yuxing Zhong , Ling Shi

The development of connected and automated vehicles is the key to improving urban mobility safety and efficiency. This paper focuses on cooperative vehicle management at a signal-free intersection with consideration of vehicle modeling…

最优化与控制 · 数学 2024-10-28 Xiao Pan , Boli Chen , Li Dai , Stelios Timotheou , Simos A. Evangelou

This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject to controlled stochastic differential equations. The…

最优化与控制 · 数学 2025-07-15 Shaolin Ji , Rundong Xu