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The concept of time-varying state feedback control of a system under the desired closed loop scate transition matrix is introduced. By setting the parameters or the preset state transition matrix, the time-varying state feedback can be designed. The theorem and design method are derived and an example of motor control with any desired performance can be achieved under the design of time-varying state feedback regular. By the optimal reduced order method, any system with desired performance can be designed in the same way.

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