Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lyapunov-razumikhin Method for Differential Equations with Piecewise Constant Argument

At the first time, Razumikhin technique is applied for differential equations with piecewise constant argument of generalized type [1, 2]. Sufficient conditions are established for stability, uniform stability and uniform asymptotic stability of the trivial solution of such equations. We also provide appropriate examples to illustrate our results.

متن کامل

Lyapunov-razumikhin Method for Asymptotic Stability of Sets for Impulsive Functional Differential Equations

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. The main results are obtained by means of piecewise continuous Lyapunov functions and the use of the Razumikhin technique.

متن کامل

Exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses via Razumikhin method

* Correspondence: [email protected]. cn Department of Mathematics, Southeast University, Nanjing 210096, P. R. China Full list of author information is available at the end of the article Abstract In this article, by using Razumikhin-type technique, we investigate pth moment exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses. Several ...

متن کامل

Razumikhin-type Theorems on Exponential Stability of Neutral Stochastic Functional Differential Equations

Recently, we initiated in [Systems Control Lett., 26 (1995), pp. 245–251] the study of exponential stability of neutral stochastic functional differential equations, and in this paper, we shall further our study in this area. We should emphasize that the main technique employed in this paper is the well-known Razumikhin argument and is completely different from those used in our previous paper ...

متن کامل

Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.

متن کامل

ذخیره 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: Journal of Mathematical Analysis and Applications

سال: 2019

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2019.07.037