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We investigate the problem of persistent monitoring, where a mobile agent has to survey multiple targets in an environment in order to estimate their internal states. These internal states evolve with linear stochastic dynamics and the…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

We propose an optimal control framework for persistent monitoring problems where the objective is to control the movement of mobile nodes to minimize an uncertainty metric in a given mission space. For multi agent in a one-dimensional…

Systems and Control · Computer Science 2012-02-29 Christos. G. Cassandras , Xuchao Lin , Xu Chu Ding

We propose an optimal control framework for persistent monitoring problems where the objective is to control the movement of mobile agents to minimize an uncertainty metric in a given mission space. For a single agent in a one-dimensional…

Systems and Control · Computer Science 2011-10-07 Christos G. Cassandras , Xu Chu Ding , Xuchao Lin

We address the persistent monitoring problem in two-dimensional mission spaces where the objective is to control the trajectories of multiple cooperating agents to minimize an uncertainty metric. In a one-dimensional mission space, we have…

Optimization and Control · Mathematics 2014-04-21 Xuchao Lin , Christos G. Cassandras

We address the problem of persistent monitoring, where a finite set of mobile agents has to persistently visit a finite set of targets. Each of these targets has an internal state that evolves with linear stochastic dynamics. The agents can…

Systems and Control · Electrical Eng. & Systems 2020-04-23 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

This work shows the existence of optimal control laws for persistent monitoring of mobile targets in a one-dimensional mission space and derives explicit solutions. The underlying performance metric consists of minimizing the total…

Optimization and Control · Mathematics 2022-10-05 Jonas Hall , Sean B. Andersson , Christos G. Cassandras

We investigate the problem of persistently monitoring a finite set of targets with internal states that evolve with linear stochastic dynamics using a finite set of mobile agents. We approach the problem from the infinite-horizon…

Systems and Control · Electrical Eng. & Systems 2019-10-01 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

We consider the problem of controlling the movement of multiple cooperating agents so as to minimize an uncertainty metric associated with a finite number of targets. In a one-dimensional mission space, we adopt an optimal control framework…

Optimization and Control · Mathematics 2016-03-15 Nan Zhou , Xi Yu , Sean B. Andersson , Christos G. Cassandras

Bilevel optimization has witnessed a resurgence of interest, driven by its critical role in trustworthy and efficient AI applications. While many recent works have established convergence to stationary points or local minima, obtaining the…

Optimization and Control · Mathematics 2024-12-25 Quan Xiao , Tianyi Chen

We investigate the problem of optimally observing a finite set of targets using a mobile agent over an infinite time horizon. The agent is tasked to move in a network-constrained structure to gather information so as to minimize the…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Samuel C. Pinto , Shirantha Welikala , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

We consider the problem of using an autonomous agent to persistently monitor a collection of dynamic targets distributed in an environment. We generalize existing work by allowing the agent's dynamics to vary throughout the environment,…

Optimization and Control · Mathematics 2025-03-03 Jonas Hall , Christos G. Cassandras , Sean B. Andersson

We address the multi-agent persistent monitoring problem defined on a set of nodes (targets) interconnected over a network topology. A measure of mean overall node state uncertainty evaluated over a finite period is to be minimized by…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Shirantha Welikala , Christos G. Cassandras

This work focuses on the persistent monitoring problem, where a set of targets moving based on an unknown model must be monitored by an autonomous mobile robot with a limited sensing range. To keep each target's position estimate as…

Robotics · Computer Science 2023-03-14 Yizhuo Wang , Yutong Wang , Yuhong Cao , Guillaume Sartoretti

The mathematical modeling of numerous real-world applications results in hierarchical optimization problems with two decision makers where at least one of them has to solve an optimal control problem of ordinary or partial differential…

Optimization and Control · Mathematics 2019-06-20 Patrick Mehlitz , Gerd Wachsmuth

We investigate the problem of monitoring multiple targets using a single mobile sensor, with the goal of minimizing the maximum estimation error among all the targets over long time horizons. The sensor can move in a network-constrained…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

This paper addresses the problem of both actively searching and tracking multiple unknown dynamic objects in a known environment with multiple cooperative autonomous agents with partial observability. The tracking of a target ends when the…

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

Optimization and Control · Mathematics 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

This paper introduces a novel double regularization scheme for bilevel optimization problems whose lower-level problem is composite and convex, but not necessarily strongly convex, in the lower-level variable. The analysis focuses on the…

Optimization and Control · Mathematics 2026-02-06 Mattia Solla , Johannes O. Royset

We study the problem of persistent monitoring of a finite number of inter-connected geographical nodes by a group of heterogeneous mobile agents. We assign to each geographical node a concave and increasing reward function that resets to…

Multiagent Systems · Computer Science 2020-10-22 Navid Rezazadeh , Solmaz S. Kia

Persistent monitoring missions require an up-to-date knowledge of the changing state of the underlying environment. UAVs can be gainfully employed to continually visit a set of targets representing tasks (and locations) in the environment…

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