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A new stochastic control problem of population dynamics under partial observation is formulated and analyzed both mathematically and numerically, with an emphasis on environmental and ecological problems. The decision-maker can only…

最优化与控制 · 数学 2020-04-13 Hidekazu Yoshioka , Yuta Yaegashi , Motoh Tsujimura

We study an optimal control problem in which both the objective function and the dynamic constraint contain an uncertain parameter. Since the distribution of this uncertain parameter is not exactly known, the objective function is taken as…

最优化与控制 · 数学 2016-11-29 Jianxiong Ye , Lei Wang , Changzhi Wu , Jie Sun , Kok Lay Teo , Xiangyu Wang

We develop a time and space dependent predator-prey model. The predators' equation is a non local hyperbolic balance law, while the diffusion of prey obeys a parabolic equation, so that predators "hunt" for prey, while prey diffuse. A…

偏微分方程分析 · 数学 2020-04-01 Rinaldo M. Colombo , Elena Rossi

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payoff rate that is a function of a stochastic economic…

最优化与控制 · 数学 2018-06-05 Mihail Zervos , Carlos Oliveira , Kate Duckworth

Humans and other organisms make decisions choosing between different options, with the aim to maximize the reward and minimize the cost. The main theoretical framework for modeling the decision-making process has been based on the highly…

神经元与认知 · 定量生物学 2024-11-19 Olga Tapinova , Tal Finkelman , Tamar Reitich-Stolero , Rony Paz , Assaf Tal , Nir S. Gov

This paper introduces a new framework for analyzing the stability of discrete-time model predictive controllers acting on continuous-time systems. The proposed framework introduces the distinction between discretization time (used to…

系统与控制 · 电气工程与系统科学 2023-10-05 Yaashia Gautam , Marco M. Nicotra

Adaptive experiments such as multi-arm bandits adapt the treatment-allocation policy and/or the decision to stop the experiment to the data observed so far. This has the potential to improve outcomes for study participants within the…

统计方法学 · 统计学 2024-05-03 Aurélien Bibaut , Nathan Kallus

We consider a system that is exactly controllable. For given initial state, terminal state and objective function, an optimal control is often well-defined. Such an optimal control has the disadvantage that although it works perfectly well…

最优化与控制 · 数学 2013-07-08 Martin Gugat

Dynamical control of excitable biological systems is often complicated by the difficult and unreliable task of pre-control identification of unstable periodic orbits (UPOs). Here we show that, for both chaotic and nonchaotic systems, UPOs…

chao-dyn · 物理学 2007-05-23 David J. Christini , Daniel T. Kaplan

In this paper, we consider the problem of optimizing the worst-case behavior of a partially observed system. All uncontrolled disturbances are modeled as finite-valued uncertain variables. Using the theory of cost distributions, we present…

最优化与控制 · 数学 2023-02-21 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

Autonomic management is aimed at adapting to uncertainty. Hence, it is devised as m-connected k-dominating set problem, resembled by dominator and dominate, such that dominators are resilient up to m-1 uncertainty among them and dominate…

其他计算机科学 · 计算机科学 2015-10-06 Rossi Kamal

A recently introduced general-purpose heuristic for finding high-quality solutions for many hard optimization problems is reviewed. The method is inspired by recent progress in understanding far-from-equilibrium phenomena in terms of {\em…

神经与进化计算 · 计算机科学 2007-05-23 Stefan Boettcher , Allon G. Percus

In optimal control problems, disturbances are typically dealt with using robust solutions, such as H-infinity or tube model predictive control, that plan control actions feasible for the worst-case disturbance. Yet, planning for every…

最优化与控制 · 数学 2020-08-27 Luiz F. O. Chamon , Alexandre Amice , Santiago Paternain , Alejandro Ribeiro

In this paper, we consider the problem of periodic optimal control of nonlinear systems subject to online changing and periodically time-varying economic performance measures using model predictive control (MPC). The proposed economic MPC…

系统与控制 · 电气工程与系统科学 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

There is a broad recognition that commitment-based mechanisms can promote coordination and cooperative behaviours in both biological populations and self-organised multi-agent systems by making individuals' intentions explicit prior to…

计算机科学与博弈论 · 计算机科学 2025-09-15 Ndidi Bianca Ogbo , Zhao Song , The Anh Han

This paper investigates the solvability and optimal control of a class of impulsive stochastic differential equations (SDEs) within a Hilbert space setting. First, we establish the existence and uniqueness of mild solutions for the proposed…

最优化与控制 · 数学 2025-04-23 Javad A. Asadzade , Nazim I. Mahmudov

We consider optimal stopping problems, in which a sequence of independent random variables is drawn from a known continuous density. The objective of such problems is to find a procedure which maximizes the expected reward; this is often…

概率论 · 数学 2020-12-07 Hugh Entwistle , Christopher Lustri , Georgy Sofronov

In this paper we present a dynamic programing approach to stochastic optimal control problems with dynamic, time-consistent risk constraints. Constrained stochastic optimal control problems, which naturally arise when one has to consider…

最优化与控制 · 数学 2015-11-24 Yin-Lam Chow , Marco Pavone

For a general optimal control problem for dynamical systems with hybrid dynamics, we study the dependency of the optimal cost and of the value function on the initial conditions, parameters, and perturbations. We show that upper and lower…

最优化与控制 · 数学 2021-12-22 Berk Altın , Ricardo G. Sanfelice

Evolutionary computation offers a variety of tools to solve complex real-world optimization problems. However, research often focuses on smaller, simplified problems and optimization algorithms that sometimes miss expectations in real-world…

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