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We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide…

最优化与控制 · 数学 2025-01-20 Frederic Mazenc , Michael Malisoff , Emilia Fridman

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

最优化与控制 · 数学 2016-05-04 Ashkan Jasour , Constantino Lagoa

An exact and analytic control protocol of two types of finite dimensional quantum systems is proposed. The system can be drive to an arbitrary target state using cosine classical fields in finite cycles. The control parameters which are…

量子物理 · 物理学 2015-06-12 Jianju Tang , H. C. Fu

In this paper, we consider the approximate controllability of partial differential equations with time derivatives of non-integer order via boundary control. We first show the unique existence of the solution under smooth boundary…

最优化与控制 · 数学 2015-01-07 Kenichi Fujishiro

We generalize the Maximum Principle for free end point optimal control problems involving sweeping systems derived in [9] to cover the case where the end point is constrained to take values in a certain set. As in [9], an ingenious smooth…

最优化与控制 · 数学 2021-06-22 M. d. R. de Pinho , M. Margarida A. Ferreira , Georgi Smirnov

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

系统与控制 · 计算机科学 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

In this paper we consider time-optimal control problems for systems with backlash. Such systems are described by second order differential equations coupled with restrictions modeling the inelastic shocks. A main feature of such systems is…

最优化与控制 · 数学 2024-01-17 Maria do Rosário de Pinho , Maria Margarida Amorim Ferreira , Georgi Smirnov

Predictive control is frequently used for control problems involving constraints. Being an optimization based technique utilizing a user specified so-called stage cost, performance properties, i.e., bounds on the infinite horizon…

系统与控制 · 电气工程与系统科学 2022-09-09 Lukas Beckenbach , Stefan Streif

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

最优化与控制 · 数学 2009-07-17 Wei Kang , Liang Xu

An effective formalism for quantum constrained systems is presented which allows manageable derivations of solutions and observables, including a treatment of physical reality conditions without requiring full knowledge of the physical…

数学物理 · 物理学 2009-03-12 Martin Bojowald , Barbara Sandhoefer , Aureliano Skirzewski , Artur Tsobanjan

A new systematic approach to the construction of approximate solutions to a class of nonlinear singularly perturbed feedback control systems using the boundary layer functions especially with regard to the possible occurrence of the…

最优化与控制 · 数学 2017-09-07 Robert Vrabel

This work proposes a decision-making framework for partially observable systems in continuous time with discrete state and action spaces. As optimal decision-making becomes intractable for large state spaces we employ approximation methods…

机器学习 · 计算机科学 2024-03-01 Yannick Eich , Bastian Alt , Heinz Koeppl

This paper is devoted to the controllability of a general linear hyperbolic system in one space dimension using boundary controls on one side. Under precise and generic assumptions on the boundary conditions on the other side, we previously…

最优化与控制 · 数学 2019-10-29 Jean-Michel Coron , Hoai-Minh Nguyen

Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics are not fully known. This paper is motivated by a scenario…

最优化与控制 · 数学 2021-08-26 Taha Shafa , Melkior Ornik

H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas…

最优化与控制 · 数学 2021-06-09 Carolina Bergeling , Kirsten A. Morris , Anders Rantzer

The paper deals with exact null-controllability problem for a linear control system consisting of two serially connected abstract control systems. Controllability conditions are obtained. Applications to the exact null-controllability for…

最优化与控制 · 数学 2013-05-07 B. Shklyar

Controllability properties are studied for control-affine systems depending on a parameter and with constrained control values. The uncontrolled systems in dimension two and three are subject to a homoclinic bifurcation. This generates two…

最优化与控制 · 数学 2022-12-13 Fritz Colonius , Amani Hasan , Gholam Reza Rokni Lamouki

We consider a stochastic control problem where the set of controls is not necessarily convex and the system is governed by a nonlinear backward stochastic differential equation. We establish necessary as well as sufficient conditions of…

概率论 · 数学 2008-12-20 Seid Bahlali

Sufficient and necessary conditions are established for controllability of affine control systems where the control is constrained to a set whose convex hull contains the origin but is not necessarily, in contrast with previously known…

最优化与控制 · 数学 2025-12-10 Jean-Baptiste Caillau , Lamberto Dell'Elce , Alesia Herasimenka , Jean-Baptiste Pomet

Approximate controllability for a quantum system on a graph using as control parameters boundary conditions will be proven. This establishes a first theoretical proof of the feasibility of the quantum control at the boundary paradigm. A…

数学物理 · 物理学 2019-10-10 Aitor Balmaseda