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We study global optimization of non-convex functions through optimal control theory. Our main result establishes that (quasi-)optimal trajectories of a discounted control problem converge globally and practically asymptotically to the set…

Optimization and Control · Mathematics 2025-11-17 Yuyang Huang , Dante Kalise , Hicham Kouhkouh

In this paper, we present a novel control scheme for feedback optimization. That is, we propose a discrete-time controller that can steer the steady state of a physical plant to the solution of a constrained optimization problem without…

Systems and Control · Electrical Eng. & Systems 2020-07-09 Verena Häberle , Adrian Hauswirth , Lukas Ortmann , Saverio Bolognani , Florian Dörfler

We consider optimal distributed controller synthesis for an interconnected system subject to communication constraints, in linear quadratic settings. Motivated by the problem of finite heavy duty vehicle platooning, we study systems…

Optimization and Control · Mathematics 2012-04-10 Omid Khorsand , Assad Alam , Ather Gattami

We consider H2 output feedback controller synthesis with pre-specified constraints on spatial communication distance (locality) for spatially-invariant systems using two factored controller frameworks: the system-level parameterization and…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Walden Marshall

We introduce an alternative approach for the analysis and numerical approximation of the optimal feedback control mapping. It consists in looking at a typical optimal control problem in such a way that feasible controls are mappings…

Optimization and Control · Mathematics 2017-06-09 Pablo Pedregal

In this article, we consider a fundamental decentralized optimal control problem, which we call the two-player problem. Two subsystems are interconnected in a nested information pattern, and output feedback controllers must be designed for…

Systems and Control · Computer Science 2015-07-10 Laurent Lessard , Sanjay Lall

This paper develops a unified nonconvex optimization framework for the design of group-sparse feedback controllers in infinite-horizon linear-quadratic (LQ) problems. We address two prominent extensions of the classical LQ problem: the…

Optimization and Control · Mathematics 2025-08-06 Lechen Feng , Xun Li , Yuan-Hua Ni

This paper studies decentralized formation control of multiple vehicles when each vehicle can only measure the local bearings of their neighbors by using bearing-only sensors. Since the inter-vehicle distance cannot be measured, the target…

Systems and Control · Computer Science 2013-03-12 Shiyu Zhao , Feng Lin , Kemao Peng , Ben M. Chen , Tong H. Lee

We consider the problem of optimal sparse output feedback controller synthesis for continuous linear time invariant systems when the feedback gain is static and subject to specified structural constraints. Introducing an additional term…

Optimization and Control · Mathematics 2015-06-23 Reza Arastoo , Nader Motee , Mayuresh V. Kothare

We address the optimal dynamic formation problem in mobile leader-follower networks where an optimal formation is generated to maximize a given objective function while continuously preserving connectivity. We show that in a convex mission…

Optimization and Control · Mathematics 2015-08-20 Xinmiao Sun , Christos G. Cassandras

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

Optimization and Control · Mathematics 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

We consider a system of two bosonic modes each subject to the dynamics induced by a thermal Markovian environment and we identify instantaneous, local symplectic controls that minimise the loss of entanglement in the Gaussian regime. By…

Quantum Physics · Physics 2018-12-12 Francesco Albarelli , Uther Shackerley-Bennett , Alessio Serafini

We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback gain. This adaptive controller is applied to the stabilization of an unstable fixed point and an unstable periodic orbit embedded in a…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Judith Lehnert , Philipp Hövel , Valentin Flunkert , Peter Yu. Guzenko , Alexander L. Fradkov , Eckehard Schöll

This paper aims to improve the reliability of optimal control using models constructed by machine learning methods. Optimal control problems based on such models are generally non-convex and difficult to solve online. In this paper, we…

Optimization and Control · Mathematics 2021-07-12 Ryuta Moriyasu , Taro Ikeda , Sho Kawaguchi , Kenji Kashima

In this paper, we develop an optimal control framework for dynamical systems when only an approximate model of the underlying plant is available. We consider a setting in which the control strategy is synthesized using a model-based optimal…

Optimization and Control · Mathematics 2026-01-16 Andreas A. Malikopoulos

We develop an autonomous navigation algorithm for a robot operating in two-dimensional environments containing obstacles, with arbitrary non-convex shapes, which can be in close proximity with each other, as long as there exists at least…

Robotics · Computer Science 2024-04-16 Mayur Sawant , Ilia Polushin , Abdelhamid Tayebi

This paper addresses the problem of optimally controlling nonlinear systems with norm-bounded disturbances and parametric uncertainties while robustly satisfying constraints. The proposed approach jointly optimizes a nominal nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-09-14 Antoine P. Leeman , Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

In this paper we demonstrate how certain structured feedback gains necessarily emerge as the optimal controller gains in two linear optimal control formulations for multi-agent systems. We consider the cases of linear optimal…

Optimization and Control · Mathematics 2016-09-05 Shen Zeng , Frank Allgöwer

The complex tasks such as surveillance, construction, search and rescue can benefit of the maneuverability of multirotor Micro Aerial Vehicles (MAVs) to obtain robust, cooperative system behavior and formation control is a prominent…

Systems and Control · Computer Science 2019-04-09 I. Kagan Erunsal , Rodrigo Ventura , Alcherio Martinoli

We propose a neural network approach to model general interaction dynamics and an adjoint based stochastic gradient descent algorithm to calibrate its parameters. The parameter calibration problem is considered as optimal control problem…

Optimization and Control · Mathematics 2021-02-01 Simone Göttlich , Claudia Totzeck