TY - JOUR ID - 199 TI - Determining the order of minimal realization of descriptor systems without use of the Weierstrass canonical form JO - Journal of Mathematical Modeling JA - JMM LA - en SN - 2345-394X AU - Nassiri Pirbazari, Kamele AU - Azari, Mehdi AD - Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran Y1 - 2015 PY - 2015 VL - 3 IS - 1 SP - 91 EP - 101 KW - Descriptor system KW - minimal realization KW - Weierstrass canonical form DO - N2 - A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present study finds the order of minimal realization of a continuous linear time invariant descriptor system without use of the Weierstrass canonical form. UR - https://jmm.guilan.ac.ir/article_199.html L1 - https://jmm.guilan.ac.ir/article_199_73509e717ef96f2eab01c1417ed30360.pdf ER -