Abstract
The necessary formulations for optimal state feedback control of bilinear systems in the global sense are presented. The Hamilton-Jacobi-Bellman equation is employed to find the optimality formulas for a positive definite closed loop Liapunov function, a positive definite nonquadratic cost function, and the optimal control. Two different continuous-time bilinear systems are considered. It is shown that the closed loop nonlinear systems can be globally asymptotically stable by using the state feedback control law with a constant input. Two examples are given. (Author)
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