Stability results for the KdV equation with time-varying delay
نویسندگان
چکیده
In this paper, we consider the Korteweg–de Vries equation with time-dependent delay on boundary or internal feedbacks. Under some assumptions delay, weights of feedbacks and length spatial domain, prove exponential stability results, using appropriate Lyapunov functionals. We finish by numerical simulations that illustrate results influence decay rate.
منابع مشابه
Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملExponential stability of the wave equation with boundary time-varying delay
We consider the wave equation with a time varying delay term in the boundary condition in a bounded and smooth domain Ω ⊂ IR. Under suitable assumptions, we prove exponential stability of the solution. These results are obtained by introducing suitable energies and suitable Lyapounov functionals. Such analysis is also extended to a nonlinear version of the model. 2000 Mathematics Subject Classi...
متن کاملRobust Stability for Descriptor Systems with Time-Varying Delay
In this paper, we consider the stability and robust stability for descriptor systems with time-varying delay. First, we attempt to obtain delay-dependent stability conditions via linear matrix inequalities (LMIs). In the derivation of delay-dependent stability conditions, we define an appropriate Lyapunov-Krasovskii functional and use a free weighting matrix method and Jensen’s inequality, whic...
متن کاملImproved Stability Analysis for Neural Networks with Time-Varying Delay
This paper concerned the problem of delay-dependent asymptotic stability for neural networks with time-varying delay. A new class of Lyapunov functional dividing the interval delay is constructed to derive some new delay-dependent stability criteria. The obtained criteria are less conservative because free-weighting matrices method, a convex optimization approach, and a mixed dividing delay int...
متن کاملImproved stability criteria for neural networks with time-varying delay
Article history: Received 9 July 2008 Received in revised form 7 November 2008 Accepted 20 November 2008 Available online 30 November 2008 Communicated by R. Wu PACS: 07.05.Mh 02.30.Ks
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2023
ISSN: ['1872-7956', '0167-6911']
DOI: https://doi.org/10.1016/j.sysconle.2023.105547