Volume no :18, Issue no: 1-2, November and December 2012

SOME TIME-OPTIMAL CONTROL PROBLEMS FOR CO-OPERATIVE HYPERBOLIC SYSTEMS WITH DISTRIBUTED OR BOUNDARY CONTROLS

Author's: MOHAMMED SHEHATA
Pages: [63] - [83]
Received Date: December 23, 2012
Submitted by:

Abstract

In this paper, we consider various time-optimal control problems for co-operative hyperbolic linear system involving Laplace operator with distributed or boundary controls and with observations act in position or in velocity. For each problem, the optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang.

Keywords

Time-optimal control problems, bang-bang controls, hyperbolic system, co-operative systems.