Minimal Realizations for Some Classes of Fractional Order Transfer Functions

Mohammad Saleh Tavazoei, Mahsan Tavakoli‐Kakhki

Type: Article

Publication Date: 2013-06-14

Citations: 17

DOI: https://doi.org/10.1109/jetcas.2013.2265798

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Locations

IEEE Journal on Emerging and Selected Topics in Circuits and Systems - View

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+	Analysis and Passive Synthesis of Immittance for Fractional-Order Two-Element-Kind Circuit	2019	Guishu Liang Jiawei Hao
+	State-space model realization for non-commensurate fractional-order systems based on Gleason’s problem	2023	Xingwen Zhou Zongsheng Geng Dongdong Zhao Li Xu Shi Yan
+	Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods	2017	Arman Dabiri Eric A. Butcher
+	Passive Realization of Fractional-Order Impedances by a Fractional Element and RLC Components: Conditions and Procedure	2016	Mohammad Saeed Sarafraz Mohammad Saleh Tavazoei
+	Phase- Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations	2018	Arman Dabiri Eric A. Butcher Morad Nazari
+	A Novel Procedure for Low-order Realization of Non-Commensurate Fractional Order System	2024	Xingwen Zhou Zongsheng Geng Mingming Tang Dongdong Zhao Yan Shi
+ PDF Chat	Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit	2019	Guishu Liang Jiawei Hao
+	Controllability and observability analysis of continuous-time multi-order fractional systems	2015	Mohammad Reza Tavakoli Mohammad Tabatabaei
+	A digraph approach to the state-space model realization of MIMO non-commensurate fractional order systems	2022	Dongdong Zhao Hu Yang Weiguo Sun Xingwen Zhou Li Xu Shi Yan
+	Passive Synthesis of a Class of Fractional Immittance Function Based on Multivariable Theory	2017	Guishu Liang Yongming Jing Chang Liu Long Ma

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+	Analog Fractional Order Controller in Temperature and Motor Control Applications	2008	Gary W. Bohannan
+ PDF Chat	On the fractional signals and systems	2010	Richard L. Magin Manuel Duarte Ortigueira Igor Podlubný Juan J. Trujillo
+	The Minimal State Space Realization for a Class of Fractional Order Transfer Functions	2010	Mahsan Tavakoli‐Kakhki ءMohammad Haeri
+	Rational approximations in the simulation and implementation of fractional-order dynamics: A descriptor system approach	2009	Mohammad Saleh Tavazoei ءMohammad Haeri
+	Fractional calculus applications in signals and systems	2006	Manuel Duarte Ortigueira J. A. Tenreiro Machado
+	Identification of a thermal system using continuous linear parameter-varying fractional modelling	2011	Jean-Denis Gabano Thierry Poinot Houcem Kanoun
+	Analysis of undamped oscillations generated by marginally stable fractional order systems	2008	Mohammad Saleh Tavazoei ءMohammad Haeri Narges Nazari
+	Note on Restricted Difference Bases	1957	C. B. Haselgrove John Leech
+	A Frequency-Domain Approach to Optimal Fractional-Order Damping	2004	Tom T. Hartley Carl F. Lorenzo
+	Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives	2006	Varsha Daftardar‐Gejji Hossein Jafari