Eigenvalue Splitting of Polynomial Order for a System of Schrödinger Operators with Energy-Level Crossing
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-021-04123-w
Abstract: We study the asymptotic distribution of the eigenvalues of a one-dimensional two-by-two semiclassical system of coupled Schrodinger operators each of which has a simple well potential. Focusing on the cases where the two underlying classical… read more here.
Keywords: system; order; polynomial order; order system ... See more keywords
Asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters
Sign Up to like & getrecommendations! Published in 2020 at "Neurocomputing"
DOI: 10.1016/j.neucom.2020.05.011
Abstract: Abstract The asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters is investigated in this paper. To this end, a new lemma for the distributed-order system is proposed to certify the asymptotic stability.… read more here.
Keywords: asymptotic stability; order system; stability synchronization; distributed order ... See more keywords
Analysis and Synthesis of Gradient Algorithms Based on Fractional-Order System Theory
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2022.3206874
Abstract: In this study, a framework for processing gradient algorithms is proposed in accordance with nabla fractional-order system theory. Unlike most of the literature, the gradient algorithm is initially recast into a nabla fractional-order dynamic system.… read more here.
Keywords: system theory; fractional order; gradient algorithms; order ... See more keywords
Determination of all stability region of unstable fractional order system in case of bearing system
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Power Electronics and Drive Systems"
DOI: 10.11591/ijpeds.v10.i4.pp1734-1741
Abstract: In this paper, we propose and investigate the optimal tuning PID controller of unstable fractional order system by desired transient characteristics using the real interpolation method (RIM). The research shows that the main advantages of… read more here.
Keywords: system; region; unstable fractional; order system ... See more keywords
A Comparative Study of the Fractional-Order System of Burgers Equations
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DOI: 10.3390/sym13101786
Abstract: This paper is related to the fractional view analysis of coupled Burgers equations, using innovative analytical techniques. The fractional analysis of the proposed problems has been done in terms of the Caputo-operator sense. In the… read more here.
Keywords: order system; burgers equations; fractional order; comparative study ... See more keywords