Results 61 to 70 of about 243 (136)

Impulsive Control for the Synchronization of Chaotic Systems with Time Delay

open access: yesAbstract and Applied Analysis, 2012
This paper considers impulsive control for the synchronization of chaotic systems with time delays. Based on the Lyapunov functions and the Razumikhin technique, some new synchronization criteria with an exponential convergence rate are derived.
Ming Han, Yang Liu, Jianquan Lu
doaj   +1 more source

A robust predictive control scheme for uncertain continuous‐time delayed systems under actuator saturation

open access: yesIET Control Theory &Applications, Volume 18, Issue 14, Page 1779-1790, September 2024.
A predictive controller is robustly designed in uncertain delayed models with saturated input. A state‐feedback control structure with unknown gains is considered as the compensator to overcome the difficulties. In the uncertain delayed systems with constraints, relying on linear matrix inequality, an optimization issue will be discovered to specify ...
Valiollah Ghaffari
wiley   +1 more source

Tractable Razumikhin-type conditions for input-to-state stability analysis of delay difference inclusions

open access: yes, 2013
For the stability analysis of time-delay systems, the Razumikhin approach provides (at the cost of some conservatism) a set of conditions that are relatively easy to verify when compared to the Krasovskii approach.
Teel, A.R., Gielen, R.H., Lazar, M.
core   +1 more source

Lyapunov-Razumikhin method for asymptotic stability of sets for impulsive functional differential equations

open access: yesElectronic Journal of Differential Equations, 2008
In the present paper, we study the global stability of sets of sufficiently general type with respect to impulsive functional differential equations with variable impulsive perturbations.
Ivanka M. Stamova, Gani T. Stamov
doaj  

Delay‐independent conditions of exponential ISS for linear time‐varying delay differential systems

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 34, Issue 10, Page 6346-6371, 10 July 2024.
Abstract This work focuses on linear continuous‐time systems with time‐varying delays, in the general case of time‐varying matrices. Initially, we explore the case of positive systems within this class and introduce two distinct delay‐independent conditions of exponential input‐to‐state stability. Moreover, we provide guaranteed exponential convergence
Vittorio De Iuliis, Costanzo Manes
wiley   +1 more source

Razumikhin-type exponential stability criteria of neutral stochastic functional differential equations

open access: yes, 2009
The paper discusses both pth moment and almost sure exponential stability of solutions to neutral stochastic functional differential equations and neutral stochastic differential delay equations, by using the Razumikhin-type technique.
Janković, Svetlana   +2 more
core   +1 more source

Improving neural ordinary differential equations via knowledge distillation

open access: yesIET Computer Vision, Volume 18, Issue 2, Page 304-314, March 2024.
A new training based on knowledge distillation is proposed to construct more powerful and robust Neural ODEs fitting image recognition tasks. Specially, the training of Neural ODEs is modelled into a teacher‐student learning process, in which ResNets is proposed as the teacher model to provide richer supervised information.
Haoyu Chu   +3 more
wiley   +1 more source

Observer‐Based Exponential Stabilization for Conformable Polynomial Fuzzy Systems With Time Delay

open access: yesDiscrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.
This paper focuses on solving the challenge of observer‐based exponential control (O‐BC) regarding conformable fuzzy polynomial models with time delay. In this work, polynomial matrices with unmeasurable states are considered to enhance the practicality of the model in the design problem. The proposed approach guarantees the existence of the polynomial
Imen Iben Ammar   +5 more
wiley   +1 more source

Razumikhin-type theorems on general decay stability of stochastic functional differential equations with infinite delay

open access: yes, 2012
To the best of the authors’ knowledge, there are no results based on the so-called Razumikhin technique via a general decay stability, for any type of stochastic differential equations.
Pavlović, Gorica   +3 more
core   +1 more source

Razumikhin–type theorems on stability in terms of two measures for impulsive functional differential systems

open access: yes, 2006
This paper studies the stability problems for impulsive functional differential equations with finite delay and fixed moments of impulse effect. By using the Lyapunov functions and Razumikhin technique sufficient conditions for stability in terms of two ...
Stamova, Ivanka M.
core   +1 more source

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