Calculation of transient response
J. Valand · Electronics Letters · 1968
Given the rational algebraic function X(s) = an−1Sn−1+an−2Sn−2+…+a1s+a0/sn+bn−1sn−1+…+b1s+b0 it is shown that the corresponding time function is expressed simply by the linear combination x(t) = an−1qn−1(t)+an−2qn−2(t) +… +a1q1(t) + a0q0(t) where functions qt(t) are the last column elements of the transition matrix M(t) = exp (At).