A novel method of evaluating transient response

In this paper, a novel method of evaluating transient responses of linear time-invariant systems using the state space approach is described. Given the Laplace transform of the response function as a ratio of two polynomials in the complex frequency of proper form, the corresponding linear state space equation is formulated. A recursive formula for the transient response is derived from the exact solution of the state space equation. Numerical solutions can be obtained for any desired interval of the response time. This method is simple, accurate, and effective, especially when used with a digital computer.