Title :
Boundary control of parabolic-hyperbolic systems with integral time delays appearing in the boundary conditions
Author :
Kowalewski, Adam
Author_Institution :
Inst. of Automatics, AGH Univ. of Sci. & Technol., Cracow, Poland
Abstract :
Optimal boundary control problems for linear parabolic-hyperbolic systems with the Neumann boundary conditions involving integral time delays are considered. Sufficient conditions for the existence of a unique solution for such parabolic-hyperbolic systems are proved. Necessary and sufficient conditions of optimality are derived for the Neumann problem. The problem of determining of the optimal control is discussed.
Keywords :
algebra; boundary-value problems; delays; linear systems; optimal control; Neumann boundary condition; boundary conditions; integral time delays; linear parabolic-hyperbolic systems; optimal boundary control problems; Boundary conditions; Delay effects; Equations; Integral equations; Mathematical model; Optimal control; Optimization;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2011 16th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4577-0912-8
DOI :
10.1109/MMAR.2011.6031319
