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Solution of the multipoint control problem for a dynamic system in partial derivatives
Author(s) -
Zubova Svetlana P.,
Raetskaya Elena V.
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7130
Subject(s) - controllability , mathematics , cascade , smoothness , control theory (sociology) , decomposition , state (computer science) , dynamical system (definition) , linear system , degree (music) , control system , dynamical systems theory , control (management) , mathematical optimization , mathematical analysis , algorithm , computer science , artificial intelligence , ecology , chemistry , physics , chromatography , quantum mechanics , acoustics , electrical engineering , biology , engineering
The linear dynamical system in partial derivatives is considered. The system must be transferred from an arbitrary initial state to an arbitrary final state through an arbitrary number of control points. The problem is to find the control for this system. The criterion for the complete controllability of such a system is derived using the method of cascade decomposition. Control and state functions in analytical form are constructed (with any given degree of smoothness), using the method of cascade decomposition.