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In this paper, we propose a dynamical systems perspective of the Expectation-Maximization (EM) algorithm. More precisely, we can analyze the EM algorithm as a nonlinear state-space dynamical system. The EM algorithm is widely adopted for…

最优化与控制 · 数学 2018-10-05 Orlando Romero , Sarthak Chatterjee , Sérgio Pequito

This paper proposes a novel distributed coverage controller for a multi-agent system with constant-speed unicycle robots (CSUR). The work is motivated by the limitation of the conventional method that does not ensure the satisfaction of…

系统与控制 · 电气工程与系统科学 2024-03-18 Qingchen Liu , Zengjie Zhang , Nhan Khanh Le , Jiahu Qin , Fangzhou Liu , Sandra Hirche

Optimal control of bilinear systems has been a well-studied subject in the area of mathematical control. However, techniques for solving emerging optimal control problems involving an ensemble of structurally identical bilinear systems are…

最优化与控制 · 数学 2016-01-14 Shuo Wang , Jr-Shin Li

Out of the recent advances in systems and control (S\&C)-based analysis of optimization algorithms, not enough work has been specifically dedicated to machine learning (ML) algorithms and its applications. This paper addresses this gap by…

机器学习 · 计算机科学 2021-02-15 Orlando Romero , Subhro Das , Pin-Yu Chen , Sérgio Pequito

This paper addresses the time-optimal control problem for a class of control systems which includes controlled mechanical systems with possible dissipation terms. The Lie algebras associated with such mechanical systems enjoy certain…

最优化与控制 · 数学 2007-05-23 M. Chyba , N. E. Leonard , E. D. Sontag

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

系统与控制 · 计算机科学 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

Peak estimation bounds extreme values of a function of state along trajectories of a dynamical system. This paper focuses on extending peak estimation to continuous and discrete settings with time-independent and time-dependent uncertainty.…

最优化与控制 · 数学 2021-03-25 Jared Miller , Didier Henrion , Mario Sznaier , Milan Korda

This article aims at providing a unified analysis of the exponential stabilization of some abstract infinite dimensional systems undergoing an event-triggering mechanism that samples the control input. The partial differential equation is…

偏微分方程分析 · 数学 2025-08-11 Lucie Baudouin , Sylvain Ervedoza

In this paper, we propose a combined Magnitude Saturated Adaptive Control (MSAC)-Model Predictive Control (MPC) approach to linear quadratic tracking optimal control problems with parametric uncertainties and input saturation. The proposed…

最优化与控制 · 数学 2023-03-14 Sunbochen Tang , Anuradha M. Annaswamy

This work addresses the problem of constrained motion control of the uncrewed surface vessels. The constraints are imposed on states/inputs of the vehicles due to the physical limitations, mission requirements, and safety considerations. We…

系统与控制 · 电气工程与系统科学 2026-03-06 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

We study the reduction of degrees of freedom for the equations that determine necessary optimality conditions for extrema in an optimal control problem for a multiagent system by exploiting the physical symmetries of agents, where the…

最优化与控制 · 数学 2020-11-25 Leonardo Colombo , Dimos V. Dimarogonas

The paper proposes a distributed eventtriggered consensus approach for linear multi-agent systems with guarantees over rate of convergence, resilience to control gain uncertainties, and Pareto optimality of design parameters, namely, the…

系统与控制 · 计算机科学 2019-06-17 Amir Amini , Arash Mohammadi , Amir Asif

Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

最优化与控制 · 数学 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

In this paper, we develop the extremum-seeking approach to generate admissible trajectories in a neighborhood of a given reference curve in the state space. The cost function of the problem represents the distance between the current system…

最优化与控制 · 数学 2026-01-16 Alexander Zuyev , Victoria Grushkovska

This paper studies an optimal consensus problem for a group of heterogeneous high-order agents with unknown control directions. Compared with existing consensus results, the consensus point is further required to an optimal solution to some…

最优化与控制 · 数学 2020-07-28 Yutao Tang

We propose a certainty-equivalence scheme for adaptive control of scalar linear systems subject to additive, i.i.d. Gaussian disturbances and bounded control input constraints, without requiring prior knowledge of the bounds of the system…

系统与控制 · 电气工程与系统科学 2023-03-20 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

For differentiable dynamical systems with dominated splittings, we give upper estimates on the measure-theoretic tail entropy in terms of Lyapunov exponents. As our primary application, we verify the upper semi-continuity of metric entropy…

动力系统 · 数学 2019-01-08 Yongluo Cao , Gang Liao , Zhiyuan You

Necessary conditions for existence of normal extremals in optimal control of systems subject to nonholonomic constraints are derived as solutions of a constrained second order variational problems. In this work, a geometric interpretation…

最优化与控制 · 数学 2017-02-08 Leonardo Colombo

We consider an optimal control problem for a system of local continuity equations on a space of probability measures. Such systems can be viewed as macroscopic models of ensembles of non-interacting particles or homotypic individuals,…

最优化与控制 · 数学 2021-10-07 Maxim Staritsyn , Nikolay Pogodaev , Roman Chertovskih , Fernando Lobo Pereira

We develop a method for the model reference adaptive control (MRAC) of LTI systems via Extremum Seeking (ES). Our proof of global asymptotic tracking enables design of the adaptive controller to satisfy averaging requirements, and…

动力系统 · 数学 2012-07-25 Poorya Haghi , Kartik B. Ariyur