In this article, a method by partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear system is presented. This system can be converted to standard descriptor system by definition of fractional-order derivative and considering a new state vector. Using forward and propositional state feedback we do not need to have a full rank open-loop matrix in this kind of systems. However, only a part of the open-loop spectrum which are not in stability region need to be reassigned while keeping all the other eigenvalues invariant. Using partial eigenvalue assignment, size of matrices are decreased while the stability is preserved. Finally, two methods of partial eigenvalue assignment are compared.
Mirassadi, S., & Ahsani Tehrani, H. (2019). Partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear systems. Journal of Mathematical Modeling, 7(2), 199-220. doi: 10.22124/jmm.2019.11810.1210
MLA
Sakineh Mirassadi; Hojjat Ahsani Tehrani. "Partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear systems". Journal of Mathematical Modeling, 7, 2, 2019, 199-220. doi: 10.22124/jmm.2019.11810.1210
HARVARD
Mirassadi, S., Ahsani Tehrani, H. (2019). 'Partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear systems', Journal of Mathematical Modeling, 7(2), pp. 199-220. doi: 10.22124/jmm.2019.11810.1210
VANCOUVER
Mirassadi, S., Ahsani Tehrani, H. Partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear systems. Journal of Mathematical Modeling, 2019; 7(2): 199-220. doi: 10.22124/jmm.2019.11810.1210
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