Results 11 to 20 of about 2,641,244 (300)
Oscillation of first order delay differential equations with distributed delay
Journal of Mathematical Analysis and Applications, 2004 The author considers the first-order delay differential equation with distributed delay \[ x'(t)+\int_0^{b(t)}R(t,s)x(t-s)\,d\mu(s)=0,\tag{1} \] the first-order nonlinear delay differential equation with distributed delay \[ x'(t)+\int_0^bR(t,s)f(x(t-s))\,d\mu(s)=0,\tag{2} \] and the higher-order delay differential equation \[ x^{(m)}(t)=(-1)^m\sum_{i ...
Tang, X.H.
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Distributed Stochastic Optimization with Large Delays [PDF]
Mathematics of Operations Research, 2022 The recent surge of breakthroughs in machine learning and artificial intelligence has sparked renewed interest in large-scale stochastic optimization problems that are universally considered hard. One of the most widely used methods for solving such problems is distributed asynchronous stochastic gradient descent (DASGD), a family of algorithms that ...
Zhengyuan Zhou +4 more
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Delay-dependent exponential stability of neutral stochastic delay systems [PDF]
, 2009 This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed
Mao, X., Huang, L.
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Distributed Observers With Time-Varying Delays [PDF]
IEEE Transactions on Automatic Control, 2021 The distributed estimation problem is solved for continuous-time observer nodes that obtain real-time measurements but communicate with their neighbors over a communication network. To this end, the digital communication between the observer nodes is modeled by the time-delay approach where variable sampling intervals, transmission delays and packet ...
Haik Silm +5 more
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Approximation of distributed delays [PDF]
Systems & Control Letters, 2014 We address in this paper the approximation problem of distributed delays. Such elements are convolution operators with kernel having bounded support, and appear in the control of time-delay systems. From the rich literature on this topic, we propose a general methodology to achieve such an approximation.
Lu, Hao +3 more
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Distributed delayed stochastic optimization [PDF]
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012 We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization algorithms where a master node performs parameter updates while worker nodes compute stochastic gradients based on ...
Alekh Agarwal, John C. Duchi
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A note on the delay distribution in GPS [PDF]
Operations Research Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lieshout, P., Mandjes, M.
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The continuous delayed distribution problem
Computers & Operations Research, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dina Smirnov +2 more
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Distributed Optimisation With Communication Delays
CoRR, 2020 This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well known fact FROST has a linear convergence.
Shuubham Ojha, Ketan Rajawat
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Delay-Agnostic Asynchronous Distributed Optimization
2023 62nd IEEE Conference on Decision and Control (CDC), 2023 Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or fixed step-sizes that depend on an assumed upper bound of delays. Not only is such a delay bound hard to obtain in advance, but it is also large and therefore results in unnecessarily slow convergence. This paper develops
Xuyang Wu 0001 +3 more
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