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- Title
Biorthogonal multiwavelets on the interval for solving multidimensional fractional optimal control problems with inequality constraint.
- Authors
Ashpazzadeh, Elmira; Lakestani, Mehrdad; Yildirim, Ahmet
- Abstract
Summary: This article proposes a new numerical approach for solving fractional optimal control problems including state and control inequality constraints using new biorthogonal multiwavelets. The properties of biorthogonal multiwavelets are first given. The Riemann‐Liouville fractional integral operator for biorthogonal multiwavelets is utilized to reduce the solution of optimal control problems to a nonlinear programming one, to which existing, well‐developed algorithms may be applied. In order to save the memory requirement and computation time, a threshold procedure is applied to obtain algebraic equations. The method is computationally very attractive and gives very accurate results.
- Subjects
BIORTHOGONAL systems; INTEGRAL operators; FRACTIONAL integrals; ALGEBRAIC equations; NONLINEAR programming; CAPUTO fractional derivatives
- Publication
Optimal Control - Applications & Methods, 2020, Vol 41, Issue 5, p1477
- ISSN
0143-2087
- Publication type
Article
- DOI
10.1002/oca.2615