The optimal control problem is introduced first. Then optimal control problems of varieties of systems and their solution via different classes of orthogonal functions (OFs) are discussed in the literature review section. The objectives and contributions of the book are stated. The organization of the book is given in the last section.
A particular type of system design problem is the problem of “controlling” a system. The translation of control system design objectives into the mathematical language gives rise to the control problem. The essential elements of the control problem are
• A desired output of the system.
• A set of admissible inputs or “controls.”
• A performance or cost functional ...
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