QA80 : Application of Riesz representation theorem for solving a class of Nonlinear optimal control problem
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2011
Authors:
Abstarct: we use measure theory in the discrete case to solve a wide range of the nonlinear
equations systems. First, we transform the problem to an optimal control problem in
discrete case. The new problem is modified into one consisting of the minimization
of a linear functional over a set of Radon measures; the optimal measure then is
approximated by a finite combination of atomic measures and the problem converted
approximately to a finite-dimensional nonlinear programming. Finally, we obtain an
approximate solution for the original problem, furthermore, we obtain the path from
the initial point up to the approximate solution.
Keywords:
#Riesz representation #measure theorem #approximation techniques #optimal control Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: