Optimal Controls in Flux, Source, and Initial Terms for Weakly Coupled Hyperbolic Systems

2018 ◽  
pp. 677-689 ◽  
Author(s):  
Maryse Hawerkamp ◽  
Dietmar Kröner ◽  
Hanna Moenius
Keyword(s):  
Hyperbolic Systems ◽  
Optimal Controls ◽  
Weakly Coupled

scholarly journals On an optimal control problem involving second order hyperbolic systems with boundary controls

1983 ◽  
Vol 27 (1) ◽  
pp. 139-148 ◽  
Author(s):  
K.G. Choo ◽  
K.L. Teo ◽  
Z.S. Wu
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Hyperbolic Systems ◽  
Sufficient Conditions ◽  
Second Order ◽  
Optimal Controls ◽  
Convergence Properties ◽  
Boundary Controls ◽  
Necessary And Sufficient

In this paper, we consider an optimal control problem involving second-order hyperbolic systems with boundary controls. Necessary and sufficient conditions are derived and a result on the existence of optimal controls is obtained. Also, a computational algorithm which generated minimizing sequences of controls is devised and the convergence properties of the algorithm are investigated.

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

2009 ◽  
Vol 19 (4) ◽  
pp. 597-608 ◽  
Author(s):  
Adam Kowalewski
Keyword(s):  
Optimal Control ◽  
Time Delays ◽  
Infinite Order ◽  
Hyperbolic Systems ◽  
Integral Form ◽  
Adjoint System ◽  
Time Optimal Control ◽  
Optimal Controls ◽  
State Equations ◽  
Time Optimal

Time-optimal control of infinite order hyperbolic systems with time delaysIn 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.

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