A considerable great class of nonlinear systems can be described or approximated by polynomial functions with sufficiently high order, therefore can be described in Censor notation compactly. For the plants with polynomial functions in the state and input, a globally stable feedback control, using finite-time tensor product of an augmented state vector, is designed in this paper. Combining the input with the ordinary state. to form the augmented state vector, the plants are dealt with uniformly like linear syst;ems, The concept; of a quotient set is used to discard redundant information in the design. A genetic algorithm is employed Co complete the design. The relative proofs and simulation are presented.