In the present paper, we apply the truncated Bessel series approximation by using
collocation scheme, for solving linear and nonlinear fractional optimal control problems …

In this paper, new and efficient algorithms for solving optimal control problems and the
controlled Duffing oscillator are presented. The solution is based on state parameterization …

The solution of initial value problems (IVPs) provides the evolution of dynamic system state
history for given initial conditions. Solving boundary value problems (BVPs) requires finding …

In this paper, we use the variational iteration method (VIM) for optimal control problems.
First, optimal control problems are transferred to Hamilton–Jacobi–Bellman (HJB) equation …

In this paper, we present a computational method for solving optimal control problems and
the controlled Duffing oscillator. This method is based on state parametrization. In fact, the …

In this research, a new numerical method is applied to investigate the nonlinear controlled
Duffing oscillator. This method is based on the radial basis functions (RBFs) to approximate …

A combination of the hybrid spectral collocation technique and the homotopy analysis
method is used to construct an iteration algorithm for solving a class of nonlinear optimal …

In heavy-duty diesel exhaust systems, selective catalytic reduction (SCR) is used to reduce
NO x to nitrogen to meet environmental regulations. Diesel exhaust after-treatment involves …

In this paper, a class of nonlinear optimal control problems with inequality constraints is
considered. Based on Karush–Kuhn–Tucker optimality conditions of nonlinear optimization …

In the optimal control problem of nonlinear dynamical system, the Hamiltonian formulation is
useful and powerful to solve an optimal control force. However, the resulting Euler-Lagrange …