DocumentCode :
154385
Title :
Optimal control via initial conditions of infinite order hyperbolic systems with the Neumann boundary conditions
Author :
Kowalewski, Adam
Author_Institution :
Inst. of Automatics & Biomed. Eng., AGH Univ. of Sci. & Technol., Cracow, Poland
fYear :
2014
fDate :
2-5 Sept. 2014
Firstpage :
504
Lastpage :
507
Abstract :
Various optimization problems associated with the optimal control of second order time delay hyperbolic systems have been studied in [5], [6], [7], [8], [9] and [10] respectively. In this paper, we consider an optimal control problem for a linear infinite order hyperbolic system. The initial conditions are given by control functions. Sufficient conditions for the existence of a unique solution of such hyperbolic equations with the Neumann boundary conditions are presented. The performance functional has the quadratic form. The time horizon μ is fixed. Finally, we impose some constraints on the control. Making use of the Lions scheme ([12]), necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional and constrained control are derived.
Keywords :
delays; hyperbolic equations; linear systems; optimal control; Lions scheme; Neumann boundary conditions; control functions; hyperbolic equations; infinite order hyperbolic systems; linear infinite order hyperbolic system; necessary condition; optimal control; optimization problems; quadratic function; quadratic performance functional; second order time delay hyperbolic systems; sufficient condition; Aerospace electronics; Biomedical engineering; Boundary conditions; Educational institutions; Equations; Optimal control; Optimization;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4799-5082-9
Type :
conf
DOI :
10.1109/MMAR.2014.6957405
Filename :
6957405
Link To Document :
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