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A New Spectral Variational Iteration Method for Solving Nonlinear Two-Point Boundary Value Problems
In this paper we develop an efficient method based on the Spectral Collocation Method (SCM)
and the Variational Iteration Method (VIM) that can be used for the efficient numerical solution of
nonlinear stiff/nonstiff two-point Boundary...
Solving infinite horizon nonlinear optimal control problems using an extended modal series method
This paper presents a new approach for solving a class of infinite horizon nonlinear optimal control problems (OCPs). In this approach, a nonlinear two-point boundary value problem (TPBVP), derived from Pontryagin’s maximum principle, is transformed...
Approximation methods for solving fractional optimal control problems
In this review paper, approximation methods for the free final time of fractional optimal control problems (FOCPs) are displayed. The considered problems mainly include the fractional differential equations (FDEs) with ...
A Spectral Quasilinearization Parametric Method for Nonlinear Two-Point Boundary Value Problems
In this paper, we develop an efficient explicit method based on the spectral
parametric iteration method and quasilinearization scheme, which can be used for
the efficient numerical solution of nonlinear ...
An off-line NMPC strategy for continuous-time nonlinear systems using an extended modal series method
This paper presents a new off-line nonlinear model predictive control (NMPC) approach for continuous-time affine-input nonlinear systems. In this approach, the NMPC-related nonlinear two-point boundary value problem derived from the Pontryagin’s...
Optimal control of nonlinear systems using the homotopy perturbation method: Infinite horizon case
This paper presents a new method for solving a class of infinite horizon nonlinear optimal control
problems. In this method, first the original optimal control problem is transformed into a nonlinear
two-point boundary value problem...
The effect of barrier composition on quantum dot solar cell performance
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