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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…
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Keywords:
solutions random;
convergence solutions;
exponential convergence;
jacobi equations ... See more keywords
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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,…
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Keywords:
time;
time observers;
almost finite;
finite time ... See more keywords
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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…
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Keywords:
nonlinear multiagent;
optimal coordination;
exponential convergence;
multiagent systems ... See more keywords
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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…
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Keywords:
primal dual;
convergence primal;
convergence;
exponential convergence ... See more keywords
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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…
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Keywords:
nonlocal stochastic;
mean square;
genetic regulatory;
exponential convergence ... See more keywords
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Published in 2018 at "Entropy"
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…
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Keywords:
space;
sobolev;
convergence markovian;
exponential convergence ... See more keywords