|Stability of Time Delay Systems Using Numerical Computation of Argument Principles
Young Soo Suh
International Journal of Control, Automation, and Systems, vol. 1, no. 1, pp.127-133, 2003
Abstract : This paper proposes a new numerical method to check the stability of a general class of time delay systems. The proposed method checks whether there are characteristic roots whose real values are nonnegative through two steps. Firstly, rectangular bounds of characteristic roots whose real values are nonnegative are computed. Secondly, the existence of roots inside the bounds are checked using the numerical computation of argument principles. An adaptive discretization is proposed for the numerical computation of argument principles.
Keyword : Time delay systems, numerical method, argument principle