The direct method of Lyapunov for nonlinear dynamical systems with fractional damping
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05962-3
Abstract: In this paper, we introduce a generalization of Lyapunov’s direct method for dynamical systems with fractional damping. Hereto, we embed such systems within the fundamental theory of functional differential equations with infinite delay and use… read more here.
Keywords: lyapunov; direct method; systems fractional; fractional damping ... See more keywords
Multipath Diversity for OFDM Based Visible Light Communication Systems Through Fractional Sampling
Sign Up to like & getrecommendations! Published in 2020 at "Wireless Personal Communications"
DOI: 10.1007/s11277-020-07171-y
Abstract: In this paper, we propose fractional sampling for optical orthogonal frequency division multiplexing (O-OFDM) in order to achieve diversity gain for indoor visible light communication systems. Fractional sampling (FS) is a diversity technique that generates… read more here.
Keywords: fractional sampling; light communication; diversity; visible light ... See more keywords
High-Order Methods for Systems of Fractional Ordinary Differential Equations and Their Application to Time-Fractional Diffusion Equations
Sign Up to like & getrecommendations! Published in 2021 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-019-00448-x
Abstract: Taking into account the regularity properties of the solutions of fractional differential equations, we develop a numerical method which is able to deal, with the same accuracy, with both smooth and nonsmooth solutions of systems… read more here.
Keywords: ordinary differential; fractional diffusion; time fractional; systems fractional ... See more keywords
Fractional order actuation systems: Theoretical foundation and application in feedback control of mechanical systems
Sign Up to like & getrecommendations! Published in 2020 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2020.06.030
Abstract: Abstract This paper attempts to lay the theoretical foundations of the efficient employment of actuation systems with fractional order models. A discussion on the superiority of the discrete-time approaches, relative to continuous-time, is held and… read more here.
Keywords: fractional order; actuation system; systems fractional; actuation systems ... See more keywords
Robust H∞ filtering and control for a class of linear systems with fractional stochastic noise
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.04.194
Abstract: Abstract In this paper, a class of linear stochastic systems driven by fractional Brownian motion are investigated. The fractional infinitesimal operator and stability criterion based on the Lyapunov approach for the systems with fractional stochastic… read more here.
Keywords: systems fractional; robust filtering; stochastic noise; fractional stochastic ... See more keywords
Response of Quasi-Integrable and Non-Resonant Hamiltonian Systems to Fractional Gaussian Noise
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.2987822
Abstract: The main difficulty of analyzing the response of nonlinear dynamical systems to fractional Gaussian noise (fGn) is the non-Markov property and non-usefulness of diffusion process theory. Currently, only numerical simulation can be applied to obtain… read more here.
Keywords: response; quasi integrable; hamiltonian systems; non ... See more keywords
Robust Stabilization of Uncertain Time-Delay Systems With Fractional Stochastic Noise Using the Novel Fractional Stochastic Sliding Approach and Its Application to Stream Water Quality Regulation
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2016.2594261
Abstract: In this paper, stochastic systems with fractional Gaussian noise (fGn) are stochastically stabilized using a new robust sliding mode control scheme. The system is assumed to have state time delay and the system matrices have… read more here.
Keywords: time; systems fractional; fractional stochastic; stream water ... See more keywords
Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1650-7
Abstract: In this article, we first establish an existence and uniqueness result for a class of systems of nonlinear operator equations under more general conditions by means of the cone theory and monotone iterative technique. Furthermore,… read more here.
Keywords: existence; existence uniqueness; systems fractional; fractional differential ... See more keywords
Global Stability of Nonlinear Feedback Systems with Fractional Positive Linear Parts
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Applied Mathematics and Computer Science"
DOI: 10.34768/amcs-2020-0036
Abstract: Abstract The global (absolute) stability of nonlinear systems with fractional positive and not necessarily asymptotically stable linear parts and feedbacks is addressed. The characteristics u = f(e) of the nonlinear parts satisfy the condition k1e… read more here.
Keywords: linear parts; stability nonlinear; systems fractional; fractional positive ... See more keywords