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Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functions and Legendre polynomials. (English) Zbl 1114.65076
Summary: Using the operational properties of general block-pulse functions and Legendre polynomials, the linear inverse time systems are transformed into a system of algebraic equations. The numerical solutions of the systems are derived. Moreover, applying the results to the linear quadratic optimal control problems, the approximate solutions of optimal control of time delay systems are derived.

65K10Optimization techniques (numerical methods)
49J15Optimal control problems with ODE (existence)
49N10Linear-quadratic optimal control problems
49M25Discrete approximations in calculus of variations
Full Text: DOI
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