<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.</p></abstract>

In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.

Time-optimal control of infinite order hyperbolic systems with time delays

Institute of Automatics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"Time-optimal control of infinite order hyperbolic systems with time delays"}

In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations...

Time-optimal control of infinite order hyperbolic systems with time delays

Published Online: Dec 31, 2009

Page range: 597 - 608

DOI: https://doi.org/10.2478/v10006-009-0047-x

Keywords
time-optimal control, infinite order, hyperbolic systems, time delays

This content is open access.

Time-optimal control of infinite order hyperbolic systems with time delays

Published Online: Dec 31, 2009

Page range: 597 - 608

DOI: https://doi.org/10.2478/v10006-009-0047-x

Keywordstime-optimal control, infinite order, hyperbolic systems, time delays

This content is open access.

Keywords
time-optimal control, infinite order, hyperbolic systems, time delays