Solution of the time invariant optimal control systems by modification Adomian decomposition method

In the present study, an efficient modification of Adomian decomposition method is introduced for solving the optimal control problem of linear time invariant singular systems with a quadratic cost functional. The idea is that the states and the input are expressed in terms of Adomian decomposition method. The method simplifies the system of state equations into a set of algebraic equations which can be solved using a digital computer. The scheme is tested for example and the obtained results demonstrate efficiency of the proposed method.