Phase- Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations

Arman Dabiri, Eric Butcher, Morad Nazari

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper is devoted to realizing and initializing state-space realizations for linear time-invariant multi-term fractional differential equations. For this purpose, two types of companion state-space realizations are proposed for linear time-invariant multi-term fractional-order systems: a) commensurate phase-variable canonical state space, and b) incommensurate phase-variable canonical state space. Furthermore, a method of initializing the proposed state-space representations is proposed for dynamical systems subject to feasible initial conditions. The advantages of the proposed representations are shown in an illustrative example.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1238-1243
Number of pages6
Volume2018-June
ISBN (Print)9781538654286
DOIs
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Other

Other2018 Annual American Control Conference, ACC 2018
CountryUnited States
CityMilwauke
Period6/27/186/29/18

Fingerprint

Dynamical systems
Differential equations

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Dabiri, A., Butcher, E., & Nazari, M. (2018). Phase- Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations. In 2018 Annual American Control Conference, ACC 2018 (Vol. 2018-June, pp. 1238-1243). [8431823] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2018.8431823

Phase- Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations. / Dabiri, Arman; Butcher, Eric; Nazari, Morad.

2018 Annual American Control Conference, ACC 2018. Vol. 2018-June Institute of Electrical and Electronics Engineers Inc., 2018. p. 1238-1243 8431823.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Dabiri, A, Butcher, E & Nazari, M 2018, Phase- Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations. in 2018 Annual American Control Conference, ACC 2018. vol. 2018-June, 8431823, Institute of Electrical and Electronics Engineers Inc., pp. 1238-1243, 2018 Annual American Control Conference, ACC 2018, Milwauke, United States, 6/27/18. https://doi.org/10.23919/ACC.2018.8431823
Dabiri A, Butcher E, Nazari M. Phase- Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations. In 2018 Annual American Control Conference, ACC 2018. Vol. 2018-June. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1238-1243. 8431823 https://doi.org/10.23919/ACC.2018.8431823
Dabiri, Arman ; Butcher, Eric ; Nazari, Morad. / Phase- Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations. 2018 Annual American Control Conference, ACC 2018. Vol. 2018-June Institute of Electrical and Electronics Engineers Inc., 2018. pp. 1238-1243
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