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Keywords: fractional-order system
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2023, 18(9): 091003.
Paper No: CND-23-1039
Published Online: May 31, 2023
... function, then 1 2 D t α x 2 ( t ) ≤ x ( t ) D t α x ( t ) ,   ∀ α ∈ ( 0 , 1 ) , t ≥ 0 For the convenience, D α is used to take place of D t α in Secs. 3 – 5 . Fractional-order systems have...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. March 2020, 15(3): 034501.
Paper No: CND-19-1130
Published Online: January 16, 2020
....com 16 04 2019 20 11 2019 16 01 2020 fractional-order system delays food chain model Hopf bifurcation Since the seminal work on the susceptible-infective-removal epidemic model and predator–prey model, mathematical biology has been intensively investigated...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2014, 9(3): 031012.
Paper No: CND-13-1193
Published Online: February 13, 2014
... achieving consensus. Numerical simulation results are presented to show the effectiveness of the proposed controller. fractional-order system swarm system asymptotic swarm stability adaptive control where U = [ u 1 T , … u N T ] T is the input...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2013, 8(4): 041014.
Paper No: CND-12-1164
Published Online: June 10, 2013
... approaches to the initialization problem for fractional-order operators are equivalent and that the associated Laplace transforms yield the correct initialization terms and can be used in the solution of fractional-order differential equations. fractional-order system initialization fractional...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031012.
Published Online: February 2, 2011
... by the designer as k = k 0 such that eig ( A + k 0 B C ) ⊂ C α − . According to stability theorems in fractional-order systems ( 19 ), satisfying the condition eig ( A + k 0 B C ) ⊂ C α − guarantees the stability of the fixed-point x = x...