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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

Control contraction metrics (CCMs) are a new approach to nonlinear control design based on contraction theory. The resulting design problems are expressed as pointwise linear matrix inequalities and are and well-suited to solution via…

最优化与控制 · 数学 2014-06-06 Ian R. Manchester , Jean-Jacques E. Slotine

We study the problem of the minimum-time damping of a closed string under a bounded load, applied at a single fixed point. A constructive feedback control law is designed, which allows bringing the system to a bounded neighbourhood of the…

最优化与控制 · 数学 2017-05-19 Alexander Ovseevich , Aleksey Fedorov

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

系统与控制 · 电气工程与系统科学 2023-04-04 Tochukwu Elijah Ogri , S. M. Nahid Mahmud , Zachary I. Bell , Rushikesh Kamalapurkar

We investigate the emergence of synchronization in the second-order Kuramoto model with adaptive simplicial interactions on a globally connected network. This inertial Kuramoto framework describes systems, where oscillator frequencies…

适应与自组织系统 · 物理学 2026-04-14 Priyanka Rajwani , Sarika Jalan

This article presents a new technique for suboptimal consensus protocol design for a class of multiagent systems. The technique is based upon the extension of newly developed sufficient conditions for suboptimal linear-quadratic optimal…

最优化与控制 · 数学 2022-06-13 Avinash Kumar , Tushar Jain

In this paper, we prove the exponential stabilization of solutions for complex Ginzburg-Landau equations using finite-parameter feedback control algorithms, which employ finitely many volume elements, Fourier modes or nodal observables…

最优化与控制 · 数学 2017-05-15 Jamila Kalantarova , Türker Özsarı

The multidimensional Uncertain Volatility Model leads to robust option pricing problems under joint volatility and correlation uncertainty. Their numerical resolution quickly becomes challenging because the associated stochastic control…

This article provides a novel continuous-time state feedback control strategy to stabilize an eigenstate of the Hermitian measurement operator of a two-level quantum system. In open loop, such system converges stochastically to one of the…

量子物理 · 物理学 2019-04-11 Gerardo Cardona , Alain Sarlette , Pierre Rouchon

This paper deals with the tracking control problem for a class of unknown pure feedback system with pure state constraints on the state variables and unknown time-varying bounded disturbances. An adaptive controller is presented for such…

系统与控制 · 电气工程与系统科学 2022-10-11 Pankaj Kumar Mishra , Nishchal K Verma

In this work, we explore a new approach to synchronization of coupled oscillators. In contrast to the celebrated Kuramoto model we do not work in polar coordinates and do not consider oscillations of fixed magnitude. We propose a…

最优化与控制 · 数学 2018-11-29 Marcello Colombino , Dominic Groß , Jean-Sébastien Brouillon , Florian Dörfler

An infinite-dimensional bilinear optimal control problem with infinite-time horizon is considered. The associated value function can be expanded in a Taylor series around the equilibrium, the Taylor series involving multilinear forms which…

最优化与控制 · 数学 2017-09-14 Tobias Breiten , Karl Kunisch , Laurent Pfeiffer

The problem of partial null controllability for linear autonomous evolution equations, which are controlled by a one-dimensional control, is under consideration. The partial null-controllability conditions for coupled abstract evolution…

最优化与控制 · 数学 2024-02-21 Benzion Shklyar

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

最优化与控制 · 数学 2021-08-18 Yongxin Chen

This paper is concerned with the distributed control and stabilization problems for linear discrete-time large scale systems with imposed constraints. The main contributions of this paper are: Firstly, by using the maximum principle…

最优化与控制 · 数学 2018-01-03 Qingyuan Qi , Huanshui Zhang , Peijun Ju

A standard way of finding a feedback law that stabilizes a control system to an operating point is to recast the problem as an infinite horizon optimal control problem. If the optimal cost and the optmal feedback can be found on a large…

最优化与控制 · 数学 2019-04-02 Arthur J. Krener

Living things enact control of non-equilibrium, dynamical structures through complex biochemical networks, accomplishing spatiotemporally-orchestrated physiological tasks such as cell division, motility, and embryogenesis. While the exact…

Robots usually establish contacts at rigid surfaces with near-zero relative velocities. Otherwise, impact-induced energy propagates in the robot's linkage and may cause irreversible damage to the hardware. Moreover, abrupt changes in…

机器人学 · 计算机科学 2023-12-08 Yuquan Wang , Niels Dehio , Arnaud Tanguy , Abderrahmane Kheddar

The attitude control of a spacecraft is integral to achieving mission success. However, failures in actuators such as reaction wheels are detrimental and can often lead to an early end of mission. We propose a Lyapunov-based adaptive…

最优化与控制 · 数学 2025-04-17 Camilo Riano-Rios , George Nehma , Madhur Tiwari

We examine a modification of the Kuramoto model for phase oscillators coupled on a network. Here, two populations of oscillators are considered, each with different network topologies, internal and cross-network couplings and frequencies.…

动力系统 · 数学 2016-02-17 A. C. Kalloniatis , M. L. Zuparic
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