Corresponding author: Zharov Mikhail M., Ph. D., Leading Researcher, Institute for Design Problems in Microelectronics of the Russian Academy of Sciences (IPPM RAS), Moscow, 124365, Russian Federation, e-mail: zarov@ippm.ru

Received on July 27, 2015
Accepted on August 07, 2015

The article presents efficient computational algorithms for analysis of the stability of the dynamical systems. The algorithms are based on the principle of modal approximation. A numerical algorithm for computing of the poles of the transfer function is proposed, which ensures determination of the poles located in the right half-plane. In order to detect the pole with the positive real part the suggested algorithm exploits the property of the damping factor  for the obtained poles . This factor is negative for the poles with positive real parts. The following sequence of the form  is constructed for the computed poles. The sequence is converged to the pole with the positive real part under . The paper presents an algorithm for computation of the poles of the transfer function with the maximal sensitivity with respect to the circuit parameters. The suggested algorithm allows us to detect the parameters with the maximal impact on the shift of the poles and to determine the critical parameter values corresponding to the boundary of instability.

Keywords: stability, parameter sensitivity, dynamical systems, transfer function, eigenvalues, modal approximation, dominant poles residue

For citation:
Gourary M. M., Zharov M. M., Rusakov S. G., Ulyanov S. L. Computational Algorithms for Stability Investigations of the Dynamic Systems in the Circuit Simulation Problems, Mekhatronika, Avtomatizatsiya, Upravlenie, 2015, vol. 16, no. 12, pp. 801—806.
DOI: 10.17587/mau/16.801-806

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