数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (2): 261-272.
谭连生
TAN Lian-Sheng
摘要:
This note contains three main results. Firstly, a complete solution of the
Linear Non-Homogeneous Matrix Differential Equations (LNHMDEs) is presented that
takes into account both the non-zero initial conditions of the pseudo state and the non-
zero initial conditions of the input. Secondly, in order to characterise the dynamics of the
LNHMDEs correctly,some important concepts such as the state, slow state (smooth state)
and fast state (impulsive state) are generalized to the LNHMDE case and the solution
of the LNHMDEs is separated into the smooth (slow) response and the fast (implusive)
response. As a third result, a new characterization of the impulsive free initial conditions
of the LNHMDEs is given.
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