Naval Postgraduate School
Dudley Knox Library
NPS Dudley Knox Library
View Item 
  •   Calhoun Home
  • Faculty and Researchers
  • Faculty and Researchers' Publications
  • View Item
  •   Calhoun Home
  • Faculty and Researchers
  • Faculty and Researchers' Publications
  • View Item
  • How to search in Calhoun
  • My Accounts
  • Ask a Librarian
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

All of CalhounCollectionsThis Collection

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

Consistent approximation of an optimal search problem

Thumbnail
Download
IconRoyset-consisten-approximation.pdf (520.3Kb)
Download Record
Download to EndNote/RefMan (RIS)
Download to BibTex
Author
Phelps, Chris
Gong, Qi
Royset, Johannes O.
Kaminer, Isaac
Date
2012-12-10
Metadata
Show full item record
Abstract
This paper focuses on the problem of optimizing the trajectories of multiple searchers attempting to detect a non-evading moving target whose motion is conditionally deterministic. This problem is a parameter-distributed optimal control problem, as it involves an integration over a space of stochastic parameters as well as an integration over the time domain. In this paper, we consider a wide range of discretization schemes to approximate the integral in the parameter space by a finite summation, which results in a standard controlconstrained optimal control problem that can be solved using existing techniques in optimal control theory. We prove that when the sequence of solutions to the discretized problem has an accumulation point, it is guaranteed to be an optimal solution of the original search problem. We also provide a necessary condition that accumulation points of this sequence must satisfy.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
URI
http://hdl.handle.net/10945/47658
Collections
  • Faculty and Researchers' Publications

Related items

Showing items related by title, author, creator and subject.

  • Thumbnail

    OPTIMIZING ENERGY EFFICIENT UAV ROUTING IN SUPPORT OF MARINE CORPS EXPEDITIONARY ADVANCED BASE OPERATIONS 

    Jatho, Adam (Monterey, CA; Naval Postgraduate School, 2020-06);
    Resupplying future United States Marine Corps’ expeditionary advanced bases means developing resilient resupply methods. This thesis looks for a solution to reduce the risks associated with complex resupply operations, ...
  • Thumbnail

    Optimal path planning for multi-arm, multi-link robotic manipulators 

    Cascio, Joseph A. (Monterey, California. Naval Postgraduate School, 2008-12);
    This work investigates the problem of robotic arm control with the goal of achieving given performance requirements by solving for the optimal joint trajectories and corresponding controls for tasks, such as point-to-point ...
  • Thumbnail

    Consistent approximation of a nonlinear optimal control problem with uncertain parameters 

    Phelps, Chris; Gong, Qi; Royset, Johannes O.; Walton, Claire; Kaminer, Isaac (Elsevier, 2014);
    This paper focuses on a non-standard constrained nonlinear optimal control problem in which the objective functional involves an integration over a space of stochastic parameters as well as an integration over the time ...
NPS Dudley Knox LibraryDUDLEY KNOX LIBRARY
Feedback

411 Dyer Rd. Bldg. 339
Monterey, CA 93943
circdesk@nps.edu
(831) 656-2947
DSN 756-2947

    Federal Depository Library      


Start Your Research

Research Guides
Academic Writing
Ask a Librarian
Copyright at NPS
Graduate Writing Center
How to Cite
Library Liaisons
Research Tools
Thesis Processing Office

Find & Download

Databases List
Articles, Books & More
NPS Theses
NPS Faculty Publications: Calhoun
Journal Titles
Course Reserves

Use the Library

My Accounts
Request Article or Book
Borrow, Renew, Return
Tech Help
Remote Access
Workshops & Tours

For Faculty & Researchers
For International Students
For Alumni

Print, Copy, Scan, Fax
Rooms & Study Spaces
Floor Map
Computers & Software
Adapters, Lockers & More

Collections

NPS Archive: Calhoun
Restricted Resources
Special Collections & Archives
Federal Depository
Homeland Security Digital Library

About

Hours
Library Staff
About Us
Special Exhibits
Policies
Our Affiliates
Visit Us

NPS-Licensed Resources—Terms & Conditions
Copyright Notice

Naval Postgraduate School

Naval Postgraduate School
1 University Circle, Monterey, CA 93943
Driving Directions | Campus Map

This is an official U.S. Navy Website |  Please read our Privacy Policy Notice  |  FOIA |  Section 508 |  No FEAR Act |  Whistleblower Protection |  Copyright and Accessibility |  Contact Webmaster

Export search results

The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

A logged-in user can export up to 15000 items. If you're not logged in, you can export no more than 500 items.

To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.