Iterative learning control for nonlinear differential inclusion systems
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4920
Abstract: In this paper, we propose an iterative learning control strategy to track a desired trajectory for a class of uncertain systems governed by nonlinear differential inclusions. By imposing Lipschitz continuous condition on a setâvalued mapping… read more here.
Keywords: control nonlinear; differential inclusion; nonlinear differential; iterative learning ... See more keywords
Neural network-based discretization of nonlinear differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Neural Computing and Applications"
DOI: 10.1007/s00521-017-3249-4
Abstract: This article presents a discretization scheme for a nonlinear differential equation using a regression analysis technique. As with many other numerical solvers such as finite difference methods and finite element methods, the presented scheme discretizes… read more here.
Keywords: equation; network based; discretization; nonlinear differential ... See more keywords
On meromorphic solutions of a certain type of nonlinear differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-017-6484-9
Abstract: We consider transcendental meromorphic solutions with N(r, f) = S(r, f) of the following type of nonlinear differential equations: $${f^n} + {P_{n - 2}}\left( f \right) = {p_1}\left( z \right){e^{{\alpha _1}\left( z \right)}} + {p_2}\left(… read more here.
Keywords: left right; type nonlinear; nonlinear differential; differential equations ... See more keywords
Optical and W-shaped bright solitons of the conformable derivative nonlinear differential equation
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Computational Electronics"
DOI: 10.1007/s10825-021-01758-9
Abstract: In this paper, we construct diverse solitary wave solutions for the nonlinear differential equation governing wave propagation in the low-pass nonlinear electrical transmission lines with conformable derivatives. However, by employing the new extended direct algebraic… read more here.
Keywords: differential equation; nonlinear differential; electrical transmission; transmission lines ... See more keywords
An efficient analytical iterative technique for solving nonlinear differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-021-01563-x
Abstract: In this study, an effective and rapidly convergent analytical technique is introduced to obtain approximate analytical solutions for nonlinear differential equations. The technique is a combination of the optimal quasilinearization method and the Picard iteration… read more here.
Keywords: technique; nonlinear differential; optimal quasilinearization; differential equations ... See more keywords
The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations
Sign Up to like & getrecommendations! Published in 2020 at "Heliyon"
DOI: 10.1016/j.heliyon.2020.e03695
Abstract: This work presents the novel Leal-polynomials (LP) for the approximation of nonlinear differential equations of different kind. The main characteristic of LPs is that they satisfy multiple expansion points and its derivatives as a mechanism… read more here.
Keywords: approximation nonlinear; nonlinear differential; novel leal; leal polynomials ... See more keywords
Construction of nonlinear differential equations for description of propagation pulses in optical fiber
Sign Up to like & getrecommendations! Published in 2019 at "Optik"
DOI: 10.1016/j.ijleo.2019.162964
Abstract: Abstract We present a few of higher-order partial differential equations which can be used for description of propagation pulses in optical fibers. The main criterion for the construction of equations was the presence of soliton… read more here.
Keywords: nonlinear differential; differential equations; pulses optical; propagation pulses ... See more keywords
Approximate analytical solutions for a nonlinear differential equation of the corneal geometry
Sign Up to like & getrecommendations! Published in 2020 at "Informatics in Medicine Unlocked"
DOI: 10.1016/j.imu.2020.100410
Abstract: Abstract A precise determination of the corneal shape and predicting the changes in the corneal geometry can be of paramount importance for early detection of certain eye diseases and for assessing the postoperative outcomes of… read more here.
Keywords: differential equation; nonlinear differential; corneal geometry; analytical solutions ... See more keywords
Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2017.12.008
Abstract: Abstract This paper is devoted to prove the existence of one or multiple solutions of a wide range of nonlinear differential boundary value problems. To this end, we obtain some new fixed point theorems for… read more here.
Keywords: nonlinear differential; point; boundary value; value problems ... See more keywords
Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5084035
Abstract: The main goal of this work is to find the solutions of linear and nonlinear fractional differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical method to search this problem has been constructed. The… read more here.
Keywords: linear nonlinear; nonlinear differential; equations within; within generalized ... See more keywords
Dynamic State Estimation of Nonlinear Differential Algebraic Equation Models of Power Networks
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Power Systems"
DOI: 10.1109/tpwrs.2022.3184190
Abstract: This paper investigates the joint problems of dynamic state estimation of algebraic variables (voltage and phase angle) and generator states (rotor angle and frequency) of nonlinear differential algebraic equation (NDAE) power network models, under uncertainty.… read more here.
Keywords: differential algebraic; nonlinear differential; power; state estimation ... See more keywords