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Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems [PDF]
Mathematics, 2016 This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback, which renders the non ...
Nawel Khelil, Martin J.-D. Otis
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Evolution’s hidden architecture: a non-lipschitz theory of creation and catastrophe [PDF]
BMC Ecology and EvolutionBackground Models of evolutionary dynamics have long been dominated by a paradigm of gradualism, yet the fossil record consistently points to a history defined by punctuation.
Miguel A. Durán-Olivencia
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Penalty Methods for a Class of Non-Lipschitz Optimization Problems
SIAM Journal on Optimization, 2016 We consider a class of constrained optimization problems with a possibly nonconvex non-Lipschitz objective and a convex feasible set being the intersection of a polyhedron and a possibly degenerate ellipsoid.
xiaojun chen, Zhaosong Lu, Ting Kei Pong
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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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Statistical Theory and Related Fields, 2022 In this article, we obtain a central limit theorem and prove a moderate deviation principle for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term.
Juan Yang
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On some stochastic mirror descent methods for constrained online optimization problems [PDF]
Компьютерные исследования и моделирование, 2019 The problem of online convex optimization naturally occurs in cases when there is an update of statistical information. The mirror descent method is well known for non-smooth optimization problems. Mirror descent is an extension of the subgradient method
Mohammad S. Alkousa
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Convergence rates of theta-method for NSDDEs under non-globally Lipschitz continuous coefficients [PDF]
Bulletin of Mathematical Sciences, 2019 This paper is concerned with strong convergence and almost sure convergence for neutral stochastic differential delay equations under non-globally Lipschitz continuous coefficients.
Li Tan, Chenggui Yuan
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IET Control Theory & Applications, 2021 The guaranteed‐performance consensus tracking (GPCT) for non‐linear multi‐agent systems (MASs) with switching communication topologies is presented. Different from the existing work, the non‐linear range of one‐sided Lipschitz non‐linear MASs is wider ...
Wanzhen Quan +3 more
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Multivalued Impulsive SDEs Driven by G-Brownian Noise: Periodic Averaging Result
Complexity, 2022 This paper aims to study two approximation theorems in view of the periodic averaging results for non-Lipschitz multivalued stochastic differential equations with impulses and G-Brownian motion (MISDEGs).
Mahmoud Abouagwa +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper is concerned with well-posedness and stability of parabolic stochastic partial differential equations. Firstly, we obtain some sufficient conditions ensuring the existence and uniqueness of mild solutions, and some $\mathcal{H}$-stability ...
Chaoliang Luo, Shangjiang Guo
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