The paper presents an overview of linearization methods of the non-linear state equation. The linearization is developed from the

point of view of the application in the theoretical electrotechnics. Some aspects of these considerations can be used in the control theory. In particular the main emphasis is laid on three methods of linearization, i.e.: Taylor’s series expansion, optimal linearization method and global linearization method. The theoretical investigations are illustrated using the non-linear circuit composed of a solar generator and a DC motor. Finally, the global linearization method is presented using several examples, i.e. the asynchronous slip-ring motor and non-linear diode. Furthermore the principal theorem concerning the BIBS stability (bounded-input bounded state) is introduced.

JO - Bulletin of the Polish Academy of Sciences: Technical Sciences L1 - http://so.czasopisma.pan.pl/Content/111691/PDF/%2854-1%2963.pdf L2 - http://so.czasopisma.pan.pl/Content/111691 PY - 2006 IS - No 1 EP - 73 KW - non-linear state equation KW - linearization KW - optimal linearization method KW - global linearization method KW - Taylorâ€™s series expansion KW - BIBS stability A1 - Jordan, A.J. VL - vol. 54 JF - Bulletin of the Polish Academy of Sciences: Technical Sciences SP - 63 T1 - Linearization of non-linear state equation DA - 2006 UR - http://so.czasopisma.pan.pl/dlibra/docmetadata?id=111691 ER -