Scheduled System Maintenance:
On May 6th, single article purchases and IEEE account management will be unavailable from 8:00 AM - 5:00 PM ET (12:00 - 21:00 UTC). We apologize for the inconvenience.
By Topic

On the relation of reachability to minimum cost optimal control

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Lygeros, J. ; Dept. of Eng., Cambridge Univ., UK

Questions of reachability for continuous and hybrid systems can be formulated as optimal control or game theory problems, whose solution can be characterised using variants of the Hamilton-Jacobi-Bellman or Isaacs partial differential equations. This paper establishes a link between reachability and invariance problems and viscosity solutions of a Hamilton-Jacobi partial differential equation, developed to address optimal control problems where the cost function is the minimum of a function of the state over a given horizon. The form of the resulting partial differential equation (continuity of the Hamiltonian and simple boundary conditions) makes this approach especially attractive from the point of view of numerical computation.

Published in:

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on  (Volume:2 )

Date of Conference:

10-13 Dec. 2002