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Fourier series analysis of linear optimal control systems incorporating observers. (English) Zbl 0614.93026
An optimal control problem for linear systems is solved by the use of the Fourier series approach. The Fourier operational matrix is extended to reduce the system equations to a set of linear algebraic equations and to obtain the approximate solution. An illustrative example is given and some useful results are provided.

MSC:
93C05 Linear systems in control theory
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
44A45 Classical operational calculus
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