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Linear Quadratic Regulator (LQR) design is one of the most classical optimal control problems, whose well-known solution is an input sequence expressed as a state-feedback. In this work, finite-horizon and discrete-time LQR is solved under…

最优化与控制 · 数学 2020-01-17 Anna Scampicchio , Aleksandr Aravkin , Gianluigi Pillonetto

This paper studies the stochastic optimal control problem for systems with unknown dynamics. A novel decoupled data based control (D2C) approach is proposed, which solves the problem in a decoupled "open loop-closed loop" fashion that is…

系统与控制 · 计算机科学 2018-09-11 Dan Yu , Mohammandhussen Rafieisakhaei , Suman Chakravorty

This paper investigates a linear quadratic stochastic optimal control (LQSOC) problem with partial information. Firstly, by introducing two Riccati equations and a backward stochastic differential equation (BSDE), we solve this LQSOC…

最优化与控制 · 数学 2024-09-26 Xun Li , Guangchen Wang , Jie Xiong , Heng Zhang

The delay guarantee is a challenge in wireless sensor networks (WSNs), where energy constraints must be considered. The coexistence of renewable energy and electricity grid is expected as a promising energy supply manner for WSNs to remain…

网络与互联网体系结构 · 计算机科学 2014-10-10 Weiqiang Xu , Jianchen Tu , Qingjiang Shi

We propose new methods for learning control policies and neural network Lyapunov functions for nonlinear control problems, with provable guarantee of stability. The framework consists of a learner that attempts to find the control and…

机器学习 · 计算机科学 2022-09-26 Ya-Chien Chang , Nima Roohi , Sicun Gao

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

量子物理 · 物理学 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints. Using Q-parameterization and a polytope containment method, we prove that…

最优化与控制 · 数学 2021-09-23 Antoine Aspeel , Kwesi Rutledge , Raphaël M. Jungers , Benoit Macq , Necmiye Özay

This paper develops a neural network based control framework that ensures system safety and input-to-state stability (ISS) for general nonlinear switched systems with unknown dynamics. Leveraging the concept of dwell time, we derive…

系统与控制 · 电气工程与系统科学 2026-01-22 Bhabani Shankar Dey , Ahan Basu , Pushpak Jagtap

This paper studies a survivable traffic grooming problem in large-scale optical transport networks under double-link failures (STG2). Each communication demand must be assigned a route for every possible scenario involving zero, one, or two…

组合数学 · 数学 2025-06-17 Silong Zhang , Jixuan Feng , Junyan Liu , Yu Liu , Zhou Xu , Fan Zhang

In this paper, we introduce novel equations that are dual to the ones of the well-known invariant ellipsoids method. These equations yield ellipsoids with newly established geometrical interpretations and connections to linear system norms.…

最优化与控制 · 数学 2023-08-29 Alexey Peregudin , Igor Furtat

In this work, we consider the $\mathcal{H}_2$ optimal model reduction of dynamical systems that are linear in the state equation and up to quadratic nonlinearity in the output equation. As our primary theoretical contributions, we derive…

数值分析 · 数学 2024-05-10 Sean Reiter , Igor Pontes Duff , Ion Victor Gosea , Serkan Gugercin

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

最优化与控制 · 数学 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

This work is concerned with the finite-horizon optimal covariance steering of networked systems governed by discrete-time stochastic linear dynamics. In contrast with existing work that has only considered systems with dynamically decoupled…

最优化与控制 · 数学 2025-04-29 Ahmed Khalil , Yoonjae Lee , Efstathios Bakolas

In this paper, we address the problem of closed-loop control of nonlinear dynamical systems subjected to probabilistic uncertainties. More precisely, we design time-varying polynomial feedback controllers to follow the given nominal…

最优化与控制 · 数学 2019-12-10 Ashkan Jasour , Brian Williams

This note studies (practical) asymptotic stability of nonlinear networked control systems whose protocols are not necessarily uniformly globally exponentially stable. In particular, we propose a Lyapunov-based approach to establish…

系统与控制 · 计算机科学 2018-10-10 Seyed Hossein Mousavi , Navid Noroozi , Anton H. J. de Ruiter , Roman Geiselhart

This paper studies the stability of sampled and networked control systems with sampling and communication times governed by probabilistic clocks. The clock models have few restrictions, and can be used to model numerous phenomena such as…

系统与控制 · 计算机科学 2014-10-09 Andrew Lamperski

The modelling of linear quadratic Gaussian optimal control problems on large complex networks is intractable computationally. Graphon theory provides an approach to overcome these issues by defining limit objects for infinite sequences of…

最优化与控制 · 数学 2024-07-02 Alex Dunyak , Peter E. Caines

This paper presents an efficient, offline method to simultaneously synthesize controllers and seek closed-loop Lyapunov functions for constrained piecewise affine systems on triangulated subsets of the admissible states. Triangulation…

系统与控制 · 电气工程与系统科学 2022-03-01 Reza Lavaei , Leila Bridgeman

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions…

最优化与控制 · 数学 2021-12-21 Francesco Ferrante , Frédéric Gouaisbaut , Sophie Tarbouriech

This paper addresses three complex control challenges related to input-saturated systems from a data-driven perspective. Unlike the traditional two-stage process involving system identification and model-based control, the proposed approach…

最优化与控制 · 数学 2024-05-14 Federico Porcari , Valentina Breschi , Luca Zaccarian , Simone Formentin
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