A generalized Bernoulli wavelet operational matrix of derivative applications to optimal control problems

  • Ahmed Bokhari
  • Abdessamad Amir
  • Sidi Mohamed Bahri
  • Fethi Bin Muhammad Belgacem

Abstract

In this research paper we present a new hybrid analytico-numerical scheme for solving linear quadratic optimal control problems. The method is based on a new Bernoulli wavelet matrix.  After presenting relevant properties of
the Bernoulli wavelet, we apply its connected operational matrix to derivatives. The solution is then obtained by reducing the optimal control problem under consideration to that of algebraic equations, using Lagrange multipliers. The new scheme simultaneous straightforward applicability and thourough validity balance is then demonstrated through illustrative examples.

Published
Nov 25, 2017
How to Cite
BOKHARI, Ahmed et al. A generalized Bernoulli wavelet operational matrix of derivative applications to optimal control problems. Nonlinear Studies, [S.l.], v. 24, n. 4, p. 775-790, nov. 2017. ISSN 2153-4373. Available at: <http://nonlinearstudies.com/index.php/nonlinear/article/view/1611>. Date accessed: 15 dec. 2017.