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Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2020
In this paper, we consider the initial Neumann boundary value problem for a degenerate kinetic model of Keller–Segel type. The system features a signal-dependent decreasing motility function that vanishes asymptotically, i.e., degeneracies may take place
Kentarou Fujie, Jie Jiang
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In this paper, we consider the initial Neumann boundary value problem for a degenerate kinetic model of Keller–Segel type. The system features a signal-dependent decreasing motility function that vanishes asymptotically, i.e., degeneracies may take place
Kentarou Fujie, Jie Jiang
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A New Look at Boundedness of Error Covariance of Kalman Filtering
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018Derui Ding, Fuad E Alsaadi, Guoliang Wei
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Boundedness of commutators of fractional integral operators on mixed Morrey spaces
Integral transforms and special functions, 2019In this paper, we give the necessary and sufficient conditions for the boundedness of commutators of fractional integral operators on mixed Morrey spaces. We construct the predual spaces of mixed Morrey spaces.
T. Nogayama
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Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
SIAM Journal on Applied Mathematics, 2018We are concerned with the following density-suppressed motility model: $u_t=\Delta (\gamma(v) u)+\mu u(1-u); v_t=\Delta v+ u-v,$ in a bounded smooth domain $\Omega\subset \mathbb{R}^2$ with homogeneous Neumann boundary conditions, where the motility ...
Hai-yang Jin, Yong-Jung Kim, Zhian Wang
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Finite-time stability and finite-time boundedness of fractional order switched systems
Transactions of the Institute of Measurement and Control, 2019Finite-time stability and finite-time boundedness of fractional order switched systems with 0 < α < 1 are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions ...
Jinxia Liang +4 more
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Boundedness of Synchronverters
2015 European Control Conference (ECC), 2015Synchronverters are grid-friendly inverters that mimic the operation of conventional synchronous generators. In this paper, the non-linear stability of the synchronverter in the sense of boundedness is investigated and proven for the first time. To this end, initially, the complete non-linear model of the synchronverter is obtained and then the field ...
Qing-Chang Zhong +3 more
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Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller-Segel Model
SIAM Journal on Applied Mathematics, 2018We study chemotactic aggregation versus logistic damping on boundedness for the 3D minimal Keller--Segel (KS) model with logistic source, $\{ u_t = \nabla \cdot (\nabla u-\chi u\nabla v)+ u-\mu u^2...
Tian Xiang
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1974
Boundedness is a useful and natural condition, but it is a very strong condition on a linear transformation. The condition has a profound effect throughout operator theory, from its mildest algebraic aspects to its most complicated topological ones.
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Boundedness is a useful and natural condition, but it is a very strong condition on a linear transformation. The condition has a profound effect throughout operator theory, from its mildest algebraic aspects to its most complicated topological ones.
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Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems
, 1981We consider a dynamic system containing uncertain elements. Only the set of possible values of these uncertainties is known. Based on this information a class of state feedback controls is proposed in order to guarantee uniform ultimate boundedness of ...
M. Corless, G. Leitmann
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