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In this paper, by using pinning impulse controller and hybrid controller respectively, the research difficulties of asymptotic synchronization and finite time cluster synchronization of time-varying delayed neural networks are studied. On…

Dynamical Systems · Mathematics 2021-06-07 Juan Cao , Fengli Ren , Dacheng Zhou

An example of a time-invariant time-delay system that is uniformly globally attractive and exponentially stable, hence forward complete, but whose reachability sets from bounded initial conditions are not bounded over compact time intervals…

Systems and Control · Electrical Eng. & Systems 2024-02-13 Jose L. Mancilla-Aguilar , Hernan Haimovich

This paper deals with the finite-time stabilization of a class of nonlinear infinite-dimensional systems. First, we consider a bounded matched perturbation in its linear form. It is shown that by using a set-valued function, both the…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

This letter investigates the prescribed-instant stabilization problem for high-order integrator systems. In anothor word, the settling time under the presented controller is independent of the initial conditions and equals the prescribed…

Systems and Control · Electrical Eng. & Systems 2023-02-23 Jiyuan Kuang , Yabin Gao , Yizhuo Sun , Jiahui Wang , Aohua Liu , Yue Zhao , Jianxing Liu

This paper is concerned with the study of both, local and global, uniform asymptotic stability for switched nonlinear time-varying (NLTV) systems through the detectability of output-maps. With this aim the notion of reduced limiting control…

Optimization and Control · Mathematics 2018-09-21 J. L. Mancilla-Aguilar , R. A. Garcia

We study two time-scale linear stochastic approximation algorithms, which can be used to model well-known reinforcement learning algorithms such as GTD, GTD2, and TDC. We present finite-time performance bounds for the case where the…

Machine Learning · Computer Science 2019-07-16 Harsh Gupta , R. Srikant , Lei Ying

In many computational tasks and dynamical systems, asynchrony and randomization are naturally present and have been considered as ways to increase the speed and reduce the cost of computation while compromising the accuracy and convergence…

Machine Learning · Computer Science 2020-12-09 Sahin Lale , Oguzhan Teke , Babak Hassibi , Anima Anandkumar

This paper focuses on analyzing the finite-time convergence of a nonlinear consensus algorithm for multi-agent networks with unknown inherent nonlinear dynamics. Due to the existence of the unknown inherent nonlinear dynamics, the stability…

Optimization and Control · Mathematics 2013-02-21 Yongcan Cao , Wei Ren

A common problem to all applications of linear finite dynamical systems is analyzing the dynamics without enumerating every possible state transition. Of particular interest is the long term dynamical behaviour. In this paper, we study the…

Dynamical Systems · Mathematics 2019-04-01 Björn Lindenberg

This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays. The…

Dynamical Systems · Mathematics 2010-10-18 M. De La Sen

In this paper, a control scheme for stochastic predefined-time stabilization is proposed, which improves the control effect compared with stochastic finite-time or fixed-time stabilization. The stochastic predefined-time stabilization…

Optimization and Control · Mathematics 2022-05-11 Tianliang Zhang , Shengyuan Xu

This paper introduces the extension of Finite-Time Stability (FTS) to the input-output case, namely the Input-Output FTS (IO-FTS). The main differences between classic IO stability and IO-FTS are that the latter involves signals defined…

Systems and Control · Computer Science 2011-09-12 Gianmaria De Tommasi , Roberto Ambrosino , Giuseppe Carannante , Carlo Cosentino , Alfredo Pironti , Francesco Amato

This is a technical report that extends and clarifies the results presented in [1]. The model identification problem for asymptotically stable linear time invariant systems is considered. The system output is affected by an additive noise…

Optimization and Control · Mathematics 2018-09-05 Marco Lauricella , Lorenzo Fagiano

Algorithm configuration methods optimize the performance of a parameterized heuristic algorithm on a given distribution of problem instances. Recent work introduced an algorithm configuration procedure ("Structured Procrastination") that…

Artificial Intelligence · Computer Science 2019-11-11 Robert Kleinberg , Kevin Leyton-Brown , Brendan Lucier , Devon Graham

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

Systems and Control · Computer Science 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

The distributed computing literature considers multiple options for modeling communication. Most simply, communication is categorized as either synchronous or asynchronous. Synchronous communication assumes that messages get delivered…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-17 Andrei Constantinescu , Diana Ghinea , Jakub Sliwinski , Roger Wattenhofer

This work deals with the finite time stability of generalized proportional fractional systems with time delay. First, based on the generalized proportional Gr\"onwall inequality, we derive an explicit criterion that enables the system…

Optimization and Control · Mathematics 2024-10-10 Hanaa Zitane , Delfim F. M. Torres

Recently, an efficient constraint solving-based approach has been developed to detect logical faults in systems specified with classical finite state machines (FSMs). The approach is unsuitable to detect violations of time constraints. In…

Software Engineering · Computer Science 2019-07-19 Omer Nguena Timo , Dimitri Prestat , Florent Avellaneda

This paper deals with the exponential stabilization of a time-delay system with an average of the state as the output. A general stability theorem with a guaranteed exponential decay-rate based on a Wirtinger-based inequality is provided.…

Optimization and Control · Mathematics 2017-11-27 Matthieu Barreau , Alexandre Seuret , Frederic Gouaisbaut

Algorithms having uniform convergence with respect to their initial condition (i.e., with fixed-time stability) are receiving increasing attention for solving control and observer design problems under time constraints. However, we still…

Optimization and Control · Mathematics 2020-01-22 Rodrigo Aldana-López , David Gómez-Gutiérrez , Marco Tulio Angulo , Michael Defoort
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