ArticleJournal of advanced research2015
Legendre spectral-collocation method for solving some types of fractional optimal control problems.
Article in Journal of advanced research, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- A new general integral transform for solving integral equations.Journal of advanced research · 2021Article
- Event-based fractional order control.Journal of advanced research · 2020Review
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Abstract
In this paper, the Legendre spectral-collocation method was applied to obtain approximate solutions for some types of fractional optimal control problems (FOCPs). The fractional derivative was described in the Caputo sense. Two different approaches were presented, in the first approach, necessary optimality conditions in terms of the associated Hamiltonian were approximated. In the second approach, the state equation was discretized first using the trapezoidal rule for the numerical integration followed by the Rayleigh-Ritz method to evaluate both the state and control variables. Illustrative examples were included to demonstrate the validity and applicability of the proposed techniques.
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