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A Generalized Framework of Linear Multivariable Control by Liansheng Tan

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8

The solution of a regular PMD and the set of impulsive free initial conditions

Abstract

In this chapter, we discuss the complete solution of the linear nonhomogeneous matrix differential equations. What is meant by the complete solution is the full solution taking into account the initial conditions of the state as well as the initial conditions of the input. The essence of the new results presented here with respect to the existing results is that the obtained solution displays the full solution components including the impulse response and the slow response created, not only by the initial conditions of the state, but also by the initial condition of the input. Special attention is drawn to the initial conditions of the system input. ...

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