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Recurrent Neural Networks (RNNs) have shown remarkable performances in system identification, particularly in nonlinear dynamical systems such as thermal processes. However, stability remains a critical challenge in practical applications:…

In this paper, we study the simultaneous stability problem of a finite number of locally inter-connected linear subsystems under practical constraints, including asynchronous and aperiodic sampling, time-varying delays, and measurement…

最优化与控制 · 数学 2017-10-06 Feng Xiao , Yang Shi , Wei Ren

In this paper, we consider finite-time state agreement problems for continuous-time multi-agent systems and propose two protocols, which ensure that states of agents reach an agreement in a finite time. Moreover, the second protocol solves…

动力系统 · 数学 2007-05-23 Feng Xiao , Long Wang

Sufficient condition for the stability of a fractional order semi-linear system with multi-time delay is proposed.

偏微分方程分析 · 数学 2014-09-16 Supriyo Dutta , N. Sukavanam

We consider the dynamics of a linear stochastic approximation algorithm driven by Markovian noise, and derive finite-time bounds on the moments of the error, i.e., deviation of the output of the algorithm from the equilibrium point of an…

机器学习 · 计算机科学 2019-03-11 R. Srikant , Lei Ying

In this paper, we investigate the rapid stabilizability of linear infinite-dimensional control systems with constant delays. Under the assumptions that the state operator generates an immediately compact semigroup and that the delay…

最优化与控制 · 数学 2026-04-21 Yaxing Ma , Lijuan Wang , Huaiqiang Yu

In this paper, the problem of non-fragile finite-time stabilization for linear discrete mean-field stochastic systems is studied. The uncertain characteristics in control parameters are assumed to be random satisfying the Bernoulli…

最优化与控制 · 数学 2023-01-24 Tianliang Zhang , Feiqi Deng , Peng Shi

In this paper, a novel continuous non-smooth control strategy is proposed to achieve finite-time stabilization of ladder quantum systems. We first design a universal fractional-order control law for a ladder n-level quantum system using a…

最优化与控制 · 数学 2025-05-20 Zeping Su , Sen Kuang , Daoyi Dong

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

系统与控制 · 计算机科学 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

Two-way fiber-optic time transfer is a promising precise time synchronization technique with sub-nanosecond accuracy. However, asymmetric delay attack is a serious threat which cannot be prevent by any encryption method. In this paper, a…

Distributed fault-tolerance can mask the effect of a limited number of permanent faults, while self-stabilization provides forward recovery after an arbitrary number of transient fault hit the system. FTSS protocols combine the best of both…

数据结构与算法 · 计算机科学 2011-02-11 Swan Dubois , Maria Potop-Butucaru , Sébastien Tixeuil

We introduce the notion of adaptive synchronisation for pushdown automata, in which there is an external observer who has no knowledge about the current state of the pushdown automaton, but can observe the contents of the stack. The…

形式语言与自动机理论 · 计算机科学 2021-02-16 A. R. Balasubramanian , K. S. Thejaswini

We present a controller tuning strategy for first-order plus time delay (FOPTD) processes, where the time delay in the model is approximated using the Pad\'e function. Using Routh-Hurwitz stability analysis, we derive the gain that gives…

系统与控制 · 电气工程与系统科学 2023-04-11 Clinton Enwerem , Ihechiluru Okoro

The "fast iterative shrinkage-thresholding algorithm", a.k.a. FISTA, is one of the most well-known first-order optimisation scheme in the literature, as it achieves the worst-case $O(1/k^2)$ optimal convergence rate in terms of objective…

最优化与控制 · 数学 2021-01-21 Jingwei Liang , Tao Luo , Carola-Bibiane Schönlieb

In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

最优化与控制 · 数学 2013-07-11 Pontus Giselsson , Anders Rantzer

An adaptive BDF2 implicit time-stepping method is analyzed for the phase field crystal model. The suggested method is proved to preserve a modified energy dissipation law at the discrete levels if the time-step ratios…

数值分析 · 数学 2020-12-22 Hong-lin Liao , Bingquan Ji , Luming Zhang

This paper proposes novel fixed-time (FXT) convergent neurodynamic approaches for solving mixed variational inequality problems (MVIs). A class of first-order proximal neurodynamic models (PNMs), including time-varying proximal neurodynamic…

最优化与控制 · 数学 2026-05-04 Vajahat Karim Khan , Vijendra Kumar Varshney , Md. Kalimuddin Ahmad

In the semiconductor manufacturing batch processes, each step is a complicated physiochemical batch process; generally it is difficult to perform measurements online or carry out the measurement for each run, and hence there will be delays…

系统与控制 · 计算机科学 2015-11-02 Bing Ai , David Shan-Hill Wong , Shi-Shang Jang

We investigate the effects of dichotomous noise added to a classical harmonic oscillator in the form of stochastic time-dependent gain and loss states, whose durations are sampled from two distinct exponential waiting time distributions.…

统计力学 · 物理学 2016-11-01 Mirko Luković , Patrick Navez , Giorgos P. Tsironis , Theo Geisel

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

最优化与控制 · 数学 2010-12-13 Iasson Karafyllis , Miroslav Krstic