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We introduce a novel framework for implementing error-correction in constrained systems. The main idea of our scheme, called Quantized-Constraint Concatenation (QCC), is to employ a process of embedding the codewords of an error-correcting…

信息论 · 计算机科学 2023-02-07 Dor Elimelech , Tom Meyerovitch , Moshe Schwartz

In this paper, the problem of finite horizon inverse optimal control (IOC) is investigated, where the quadratic cost function of a dynamic process is required to be recovered based on the observation of optimal control sequences. We propose…

最优化与控制 · 数学 2018-11-02 Yibei Li , Yu Yao , Xiaoming Hu

We introduce and validate a theoretical framework for coherent control of multichannel scattering of linear waves to route waves through complex geometries with multiple scattering. We show that steady-state perfect routing solutions are…

This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learning algorithm for the optimal controller when the…

最优化与控制 · 数学 2023-07-20 Juanjuan Xu , Jingmei Liu , Zhaorong Zhang , Wei Wang

This paper studies the informativity problem for reachability and null-controllability of constrained systems. To be precise, we will focus on an unknown linear systems with convex conic constraints from which we measure data consisting of…

最优化与控制 · 数学 2021-05-03 Jaap Eising , M. Kanat Camlibel

The problem of robust distributed control arises in several large-scale systems, such as transportation networks and power grid systems. In many practical scenarios controllers might not have enough information to make globally optimal…

系统与控制 · 计算机科学 2019-09-26 Luca Furieri , Maryam Kamgarpour

This paper focuses on the linear quadratic control (LQC) design of systems corrupted by both stochastic noise and bounded noise simultaneously. When only of these noises are considered, the LQC strategy leads to stochastic or robust…

最优化与控制 · 数学 2025-12-15 Xuehui Ma , Shiliang Zhang , Xiaohui Zhang , Jing Xin , Hector Garcia de Marina

Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of waves. The main results of this manuscript consist in…

最优化与控制 · 数学 2025-02-06 Anthony Hastir , Birgit Jacob , Hans Zwart

Quadrature sampling has been widely applied in coherent radar systems to extract in-phase and quadrature (I and Q) components in the received radar signal. However, the sampling is inefficient because the received signal contains only a…

信息论 · 计算机科学 2015-06-18 Feng Xi , Shengyao Chen , Zhong Liu

Despite its nonconvexity, policy optimization for the Linear Quadratic Regulator (LQR) admits a favorable structural property known as gradient dominance, which facilitates linear convergence of policy gradient methods to the globally…

最优化与控制 · 数学 2026-02-27 Yuto Watanabe , Yang Zheng

This paper studies robust time-inconsistent (TIC) linear-quadratic stochastic control problems, formulated by stochastic differential games. By a spike variation approach, we derive sufficient conditions for achieving the Nash equilibrium,…

最优化与控制 · 数学 2025-04-29 Bingyan Han , Chi Seng Pun , Hoi Ying Wong

This paper focuses on optimal mismatched disturbance rejection control for linear continuoustime uncontrollable systems. Different from previous studies, by introducing a new quadratic performance index to transform the mismatched…

最优化与控制 · 数学 2023-06-05 Shichao Lv , Hongdan Li , Kai Peng , Shihua Li , Huanshui Zhang

Some recent papers have extended the concept of finite-time stability (FTS) to the context of 2D linear systems, where it has been referred to as finite-region stability (FRS). FRS methodologies make even more sense than the classical FTS…

系统与控制 · 电气工程与系统科学 2024-12-20 Chao Liang , Carlo Cosentino , Alessio Merola , Maria Romano , Francesco Amato

We investigate the stabilizability of discrete-time linear switched systems, when the sole control action of the controller is the switching signal, and when the controller has access to the state of the system in real time. Despite their…

最优化与控制 · 数学 2021-05-20 Carl P. Dettmann , R. M. Jungers , P. Mason

In this paper, we study the control of a class of time-invariant linear ensemble systems whose natural dynamics are linear in the system parameter. This class of ensemble control systems arises from practical engineering and physical…

最优化与控制 · 数学 2014-10-07 Jr-Shin Li , Ji Qi

We consider the problem of analyzing and designing gradient-based discrete-time optimization algorithms for a class of unconstrained optimization problems having strongly convex objective functions with Lipschitz continuous gradient. By…

最优化与控制 · 数学 2025-10-20 Simon Michalowsky , Carsten Scherer , Christian Ebenbauer

We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more separatrices. If the perturbation is weak, then the separatrix chaos is most developed when the perturbation frequency lies in the logarithmically small…

混沌动力学 · 物理学 2015-05-13 S. M. Soskin , R. Mannella , O. M. Yevtushenko , I. A. Khovanov , P. V. E. McClintock

This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are…

系统与控制 · 电气工程与系统科学 2024-06-13 Lanlan Su , Di Zhao , Sei Zhen Khong

In this paper we consider the problem of minimizing a quadratic functional for a discrete-time linear stochastic system with multiplicative noise, on a standard probability space, in infinite time horizon. We show that the necessary and…

最优化与控制 · 数学 2011-08-02 Peter Situmbeko Nalitolela , Nikolai Dokuchaev

We consider the spectral radius of a large random matrix $X$ with independent, identically distributed entries. We show that its typical size is given by a precise three-term asymptotics with an optimal error term beyond the radius of the…

概率论 · 数学 2024-03-05 Giorgio Cipolloni , László Erdős , Yuanyuan Xu