Found 57 Documents (Results 1–57)
A new diffusive representation for fractional derivatives. I: Construction, implementation and numerical examples. (English) Zbl 07920767
Cardone, Angelamaria (ed.) et al., Fractional differential equations. Modeling, discretization, and numerical solvers. Based on the presentations at the INdAM workshop, Rome, Italy, July 12–14, 2021. Cham: Springer. Springer INdAM Ser. 50, 1-15 (2023).
Event-triggered fuzzy adaptive control of incommensurate fractional order nonlinear systems. (English) Zbl 07892615
MSC:
93-XX
Pseudo-Lyapunov methods for Grünwald-Letnikov and initialized fractional systems. (English) Zbl 1538.34213
On the solution behavior of a nonlinear time-fractional Klein-Gordon equation: theoretical study and numerical validation. (English) Zbl 1522.35542
On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis. (English) Zbl 1500.74009
Fuzzy sliding-mode control of fractional-order chaotic systems subject to uncertain control coefficients and input saturation. (English) Zbl 1508.93189
Limited frequency band diffusive representation for nabla fractional order transfer functions. (English) Zbl 1507.39014
Energy analysis and discretization of the time-domain equivalent fluid model for wave propagation in rigid porous media. (English) Zbl 07517171
Modelling and simulation of nabla fractional dynamic systems with nonzero initial conditions. (English) Zbl 07878824
MSC:
93-XX
Robust \(H_\infty\) observer-based-controller design for uncertain fractional-order time-varying-delay systems. (English) Zbl 1527.93084
The direct method of Lyapunov for nonlinear dynamical systems with fractional damping. (English) Zbl 1517.34096
Lyapunov stability of a fractionally damped oscillator with linear (anti-)damping. (English) Zbl 07446838
Laplace-Carleson embeddings on model spaces and boundedness of truncated Hankel and Toeplitz operators. (English) Zbl 1451.30105
Reviewer: Kehe Zhu (Albany)
Time-local discretization of fractional and related diffusive operators using Gaussian quadrature with applications. (English) Zbl 1436.65210
Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems. (English) Zbl 1464.39018
Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions. (English) Zbl 1437.35085
Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation. (English) Zbl 1437.65059
Observer-based robust control for fractional-order nonlinear uncertain systems with input saturation and measurement quantization. (English) Zbl 1434.93016
Inverse Lyapunov theorem for linear time invariant fractional order systems. (English) Zbl 1428.93099
Correction to: “Unknown input observer design for linear fractional-order time-delay systems” and a new enhanced LMI condition. (English) Zbl 1490.94009
Quadrature based approximations of non-integer order integrator on finite integration interval. (English) Zbl 1425.93095
Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 11-20 (2017).
Adaptive backstepping control for fractional order systems with input saturation. (English) Zbl 1398.93166
High-order sliding mode observer for fractional commensurate linear systems with unknown input. (English) Zbl 1372.93053
Convergence of Laguerre impulse response approximation for noninteger order systems. (English) Zbl 1400.42003
Initial conditions-independent limit cycles of a fractional-order van der Pol oscillator. (English) Zbl 1365.34014
Approximation of a fractional order model by an integer order model: a new approach taking into account approximation error as an uncertainty. (English) Zbl 1365.34019
Design of sliding mode controllers for nonlinear fractional-order systems via diffusive representation. (English) Zbl 1354.34113
Diffusive approximation of a time-fractional Burger’s equation in nonlinear acoustics. (English) Zbl 1443.65275
Mesoscopic modeling of stochastic reaction-diffusion kinetics in the subdiffusive regime. (English) Zbl 1381.35086
Fractional order models. (English) Zbl 1372.34020
Sabatier, Jocelyn et al., Fractional order differentiation and robust control design: CRONE, H-infinity and motion control. Dordrecht: Springer (ISBN 978-94-017-9806-8/hbk; 978-94-017-9807-5/ebook). Intelligent Systems, Control and Automation: Science and Engineering 77, 1-61 (2015).
Reviewer: Xueyan Liu (Chattanooga)
Fractional behaviour of partial differential equations whose coefficients are exponential functions of the space variable. (English) Zbl 1310.34010
Stabilization of wave equation using standard/fractional derivative in boundary damping. (English) Zbl 1271.93120
Mitkowski, Wojciech (ed.) et al., Advances in the theory and applications of non-integer order systems. 5th conference on non-integer order calculus and its applications, Cracow, Poland, July 4–5, 2013. Cham: Springer (ISBN 978-3-319-00932-2/hbk; 978-3-319-00933-9/ebook). Lecture Notes in Electrical Engineering 257, 101-121 (2013).
Initial conditions and initialization of linear fractional differential equations. (English) Zbl 1203.94058
How to impose physically coherent initial conditions to a fractional system? (English) Zbl 1221.34019
Fractional modelling and identification of a thermal process. (English) Zbl 1229.80004
MSC:
80A20
26A33
Diffusive representations for the analysis and simulation of flared acoustic pipes with visco-thermal losses. (English) Zbl 1103.93036
Asymptotic stability of linear conservative systems when coupled with diffusive systems. (English) Zbl 1125.93030
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