Analysis and identification of time-delay systems via piecewise linear polynomial functions

Abstract EN

This paper extends the application of piecewise linear polynomial functions to the analysis and parameter identification of linear time-invariant continuous delayed systems.

The real Schur from decomposition is used to structure the resulting algebraic equations in such a way that it can be solved columnwise by a forward substitution technique.

The main advantage of this method is that a simple recursive algorithm is derived.

Tedious iterative algorithms and direct matrix inversion for large scale systems are thus avoided in calculating the expansion coefficients.

Illustrative examples are given for demonstration.