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Control of continuous time dynamics with multiplicative noise is a classic topic in stochastic optimal control. This work addresses the problem of designing infinite horizon optimal controls with stability guarantees for \textit{a single…

最优化与控制 · 数学 2020-10-02 Kaivalya Bakshi , Evangelos A. Theodorou , Piyush Grover

Time-consistency is an essential requirement in risk sensitive optimal control problems to make rational decisions. An optimization problem is time consistent if its solution policy does not depend on the time sequence of solving the…

最优化与控制 · 数学 2015-03-26 Yinlam Chow , Marco Pavone

Bertrand et al. introduced a model of parameterised systems, where each agent is represented by a finite state system, and studied the following control problem: for any number of agents, does there exist a controller able to bring all…

形式语言与自动机理论 · 计算机科学 2023-06-22 Thomas Colcombet , Nathanaël Fijalkow , Pierre Ohlmann

We study an exit contract design problem, where one provides a universal exit contract to multiple heterogeneous agents, with which each agent chooses an optimal (exit) stopping time. The problem consists in optimizing the universal exit…

概率论 · 数学 2024-07-02 Xihao He , Xiaolu Tan , Jun Zou

This work develops effective distributed strategies for the solution of constrained multi-agent stochastic optimization problems with coupled parameters across the agents. In this formulation, each agent is influenced by only a subset of…

最优化与控制 · 数学 2019-03-15 Sulaiman A. Alghunaim , Ali H. Sayed

We consider the control problem with \textit{exit time}. Unlike the Bolza and Mayer problems, in this problem the terminal time of the trajectories is not fixed, but it is the first time at which they reach a given closed subset -…

最优化与控制 · 数学 2017-05-10 Luong V. Nguyen

We consider the determination of the optimal stationary singular stochastic control of a linear diffusion for a class of average cumulative cost minimization problems arising in various financial and economic applications of stochastic…

最优化与控制 · 数学 2018-03-12 Luis H. R. Alvarez E.

A wide range of multi-agent coordination problems including reference tracking and disturbance rejection requirements can be formulated as a cooperative output regulation problem. The general framework captures typical problems such as…

系统与控制 · 计算机科学 2014-06-04 Georg Seyboth , Wei Ren , Frank Allgöwer

We consider the problem of designing a sequential decision making agent to maximize an unknown time-varying function which switches with time. At each step, the agent receives an observation of the function's value at a point decided by the…

最优化与控制 · 数学 2023-11-07 Durgesh Kalwar , Vineeth B. S

Model predictive control solves a constrained optimization problem online in order to compute an implicit closed-loop control policy. Recursive feasibility -- guaranteeing that the optimal control problem will have a solution at every time…

最优化与控制 · 数学 2024-10-16 Jacob W. Knaup , Panagiotis Tsiotras

In this paper, we investigate the fixed-time behavioral control problem for a team of second-order nonlinear agents, aiming to achieve a desired formation with collision/obstacle~avoidance. In the proposed approach, the two behaviors(tasks)…

最优化与控制 · 数学 2021-03-12 Ning Zhou , Xiaodong Cheng , Zhongqi Sun , Yuanqing Xia

This paper focuses on the problem of distributed consensus control of multi-agent systems while considering two main practical concerns (i) stochastic noise in the agent dynamics and (ii) predefined performance constraints over evolutions…

系统与控制 · 电气工程与系统科学 2022-03-09 Pushpak Jagtap , Dimos V. Dimarogonas

We study a single risky financial asset model subject to price impact and transaction cost over an finite time horizon. An investor needs to execute a long position in the asset affecting the price of the asset and possibly incurring in…

交易与市场微观结构 · 定量金融 2015-03-19 Mauricio Junca

We study a large-scale patrol problem with state-dependent costs and multi-agent coordination.We consider heterogeneous agents, rather general reward functions, and the capabilities of tracking agents' trajectories.Given the complexity and…

最优化与控制 · 数学 2024-12-12 Jing Fu , Zengfu Wang , Jie Chen

This paper studies the optimal output-feedback control of a linear time-invariant system where a stochastic event-based scheduler triggers the communication between the sensor and the controller. The primary goal of the use of this type of…

系统与控制 · 计算机科学 2017-08-10 Burak Demirel , Alex S. Leong , Vijay Gupta , Daniel E. Quevedo

Motivated by the recent interest in cyber-physical and autonomous robotic systems, we study the problem of dynamically coupled multi-agent systems under a set of signal temporal logic tasks. In particular, the satisfaction of each of these…

系统与控制 · 电气工程与系统科学 2021-02-05 Lars Lindemann , Dimos V. Dimarogonas

The consensus control with optimal cost remains major challenging although consensus control problems have been well studied in recent years. In this paper, we study the consensus control of multi-agent system associated with a given cost…

最优化与控制 · 数学 2018-03-28 Juanjuan Xu , Huanshui Zhang

We study the problem of controlling multi-agent systems under a set of signal temporal logic tasks. Signal temporal logic is a formalism that is used to express time and space constraints for dynamical systems. Recent methods to solve the…

系统与控制 · 电气工程与系统科学 2020-11-26 Lars Lindemann , Dimos V. Dimarogonas

We model the joint distribution of choice probabilities and decision times in binary choice tasks as the solution to a problem of optimal sequential sampling, where the agent is uncertain of the utility of each action and pays a constant…

神经元与认知 · 定量生物学 2015-05-14 Drew Fudenberg , Philipp Strack , Tomasz Strzalecki

We present novel results on the solution of a class of leavable, undiscounted optimal control problems in the minimax sense for nonlinear, continuous-state, discrete-time plants. The problem class includes entry-(exit-)time problems as well…

最优化与控制 · 数学 2018-09-05 Gunther Reissig , Matthias Rungger