Exponential convergence of solutions for random Hamilton–Jacobi equations
Sign Up to like & getrecommendations! Published in 2019 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-019-00153-7
Abstract: We show that for a family of randomly kicked Hamiton-Jacobi equations on the torus, almost surely, the solution of an initial value problem converges exponentially fast to the unique stationary solution. Combined with the results… read more here.
Keywords: solutions random; convergence solutions; exponential convergence; jacobi equations ... See more keywords
Exponential convergence of hp-ILGFEM for semilinear elliptic boundary value problems with monomial reaction
Sign Up to like & getrecommendations! Published in 2025 at "IMA Journal of Numerical Analysis"
DOI: 10.1093/imanum/draf030
Abstract: We study the fully explicit numerical approximation of a semilinear elliptic boundary value model problem, which features a monomial reaction and analytic forcing, in a bounded polygon $\varOmega \subset{\mathbb{R}}^{2}$ with a finite number of straight… read more here.
Keywords: semilinear elliptic; elliptic boundary; boundary value; convergence ... See more keywords
Almost Finite-Time Observers for a Family of Nonlinear Continuous-Time Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2022.3172366
Abstract: We provide a new class of observers for a class of nonlinear systems which are not required to be affine in the unmeasured states. The observers ensure exponential convergence of the observation errors to zero,… read more here.
Keywords: time; time observers; almost finite; finite time ... See more keywords
Exponential Convergence of Distributed Optimal Coordination for Nonlinear Multiagent Systems Under Directed Graphs
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Control of Network Systems"
DOI: 10.1109/tcns.2022.3198787
Abstract: In this article, the distributed optimal coordination problem of second-order uncertain nonlinear multiagent systems, which aims to satisfy a global constrained optimal objective, is formulated and investigated. To solve this problem, a couple of novel… read more here.
Keywords: nonlinear multiagent; optimal coordination; exponential convergence; multiagent systems ... See more keywords
Exponential Convergence of Primal-Dual Dynamics Under General Conditions and Its Application to Distributed Optimization.
Sign Up to like & getrecommendations! Published in 2022 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2022.3208086
Abstract: In this article, we establish the local and global exponential convergence of a primal-dual dynamics (PDD) for solving equality-constrained optimization problems without strong convexity and full row rank assumption on the equality constraint matrix. Under… read more here.
Keywords: primal dual; convergence primal; convergence; exponential convergence ... See more keywords
Exponential convergence in the mean-square sense of nonlocal stochastic almost automorphic genetic regulatory lattice networks
Sign Up to like & getrecommendations! Published in 2023 at "Transactions of the Institute of Measurement and Control"
DOI: 10.1177/01423312231163926
Abstract: This paper first establishes the lattice model for nonlocal stochastic genetic regulatory networks with reaction diffusions by employing a mix of the finite difference and Mittag–Leffler time Euler difference techniques. Second, the existence of a… read more here.
Keywords: nonlocal stochastic; mean square; genetic regulatory; exponential convergence ... See more keywords
Logarithmic Sobolev Inequality and Exponential Convergence of a Markovian Semigroup in the Zygmund Space
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DOI: 10.3390/e20040220
Abstract: We investigate the exponential convergence of a Markovian semigroup in the Zygmund space under the assumption of logarithmic Sobolev inequality. We show that the convergence rate is greater than the logarithmic Sobolev constant. To do… read more here.
Keywords: space; sobolev; convergence markovian; exponential convergence ... See more keywords
Exponential Convergence-(t,s)-Weak Tractability of Approximation in Weighted Hilbert Spaces
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DOI: 10.3390/math12132067
Abstract: We study L2-approximation problems in the weighted Hilbert spaces in the worst case setting. Three interesting weighted Hilbert spaces appear in this paper, whose weights are equipped with two positive parameters γj and αj for… read more here.
Keywords: weak tractability; convergence weak; weighted hilbert; exponential convergence ... See more keywords