Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Jay L. Adams"'
Publikováno v:
Journal of Applied Nonlinear Dynamics. 6:153-171
A model-reduction methodology for fractional-order systems based on the Hankel-norm is presented. The methodology involves the truncation of a Laurent series associated with the fractional-order system in a transformed domain. The truncated Laurent s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07e0aff390f5b3c6715acdbca31e459d
https://doi.org/10.5890/jand.2017.06.003
https://doi.org/10.5890/jand.2017.06.003
Publikováno v:
IET Circuits, Devices & Systems. 9:227-235
The efficiency of a general fractional-order circuit element as an energy storage device is analysed. Simple expressions are derived for the proportions of energy that may be transferred into and then recovered from a fractional-order element by eith
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd05c641af8a22917094919a9008abed
https://doi.org/10.1049/iet-cds.2014.0132
https://doi.org/10.1049/iet-cds.2014.0132
Publikováno v:
IEEE Journal on Emerging and Selected Topics in Circuits and Systems. 3:338-345
Starting with the established concepts of multi-dimensional network resonance, practical-bounded-input-bounded-output (BIBO) stability of multi-dimensional discrete systems, and the integer order approximation of fractional order filters, a new metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9700036006781ad88f4d060a4413ad5
https://doi.org/10.1109/jetcas.2013.2265799
https://doi.org/10.1109/jetcas.2013.2265799
Publikováno v:
IFAC Proceedings Volumes. 46:161-166
This paper derives the time-varying initialization function for the Caputo derivative of any order u >0 where m –1 u m , m = 1,2,…. The derivative is redefined to include this initialization function. Then, the Laplace transform for the redefined
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f0ce6a33d256be359809fb12e8bf006f
https://doi.org/10.3182/20130204-3-fr-4032.00189
https://doi.org/10.3182/20130204-3-fr-4032.00189
Publikováno v:
Signal, Image and Video Processing. 6:373-380
The fundamental system theory is presented for a class of real systems whose derivative order is complex. It is demonstrated that these so-called conjugate-order systems have a scale-invariance property in both the time and frequency domains, which m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ff3314a0e45270ab023b74689cbfec2
https://doi.org/10.1007/s11760-012-0327-z
https://doi.org/10.1007/s11760-012-0327-z
Publikováno v:
Computers & Mathematics with Applications. 59:1773-1781
In this paper, the Rayleigh–Ritz method of estimating the eigenvalues of an operator on a Hilbert space is utilized to determine the magnitude of the largest eigenvalue for the Hankel operator of fractional-order systems, the Hankel norm. This prov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dac372bcd3a8a94206175ea209a70a9d
https://doi.org/10.1016/j.camwa.2009.08.016
https://doi.org/10.1016/j.camwa.2009.08.016
Publikováno v:
Advances in Engineering Software. 41:70-74
This paper provides the solution to the complex-order differential equation, "0d"t^qx(t)=kx(t)+bu(t), where both q and k are complex. The time-response solution is shown to be a series that is complex-valued. Combining this system with its complex co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::750b7107106fc99fdff3e85c9db93267
https://doi.org/10.1016/j.advengsoft.2008.12.014
https://doi.org/10.1016/j.advengsoft.2008.12.014
Autor:
Jay L. Adams, Tom T. Hartley
Publikováno v:
Journal Européen des Systèmes Automatisés. 42:701-713
This paper applies the theory of a Hankel operators to fractional-order systems. It is shown that the Hankel operator approach to fractional-order systems inherently accounts for the difficulty in the initializion problem for fractional-order differe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d12fe91e42528f83e03b3af8d7a755c
https://doi.org/10.3166/jesa.42.701-713
https://doi.org/10.3166/jesa.42.701-713
Publikováno v:
Journal of Vibration and Control. 14:1375-1388
This article discusses the identification of fractional systems using the concepts of complex order distribution. Based on the ability to define systems using complex order-distributions, it is shown that system identification in the frequency domain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3aedc5430cd347fc9f2c2a82488952a
https://doi.org/10.1177/1077546307087443
https://doi.org/10.1177/1077546307087443
Publikováno v:
Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications.
The internal efficiency of the energy storage in a general fractional-order circuit element is analyzed. By use of distributed-circuit representations, integral expressions are derived for the energy stored in a fractional-order integrator or a fract
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed35eea3f7293fce33f85077f88cd33d
https://doi.org/10.1115/detc2015-47450
https://doi.org/10.1115/detc2015-47450