On two theorems regarding exponential stability

نویسندگان

چکیده

برای دانلود رایگان 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

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

Razumikhin Type Theorems on Exponential Stability of Neutral Stochastic Functional Diierential Equations

Recently we initiated in 11] the study of exponential stability of neutral stochastic functional diierential 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 diierent from those used in our previous paper 11]. The results obtained in 11] can only be appl...

متن کامل

Razumikhin-Type Theorems on Exponential Stability of SDDEs Containing Singularly Perturbed Random Processes

and Applied Analysis 3 (ξ, l). Moreover, for every p > 0 and any compact subset K of C([−τ, 0];R), there exists a positive constant H which is independent of ε such that sup (ξ,l)∈K×S E[ sup −τ≤s≤t 󵄨󵄨󵄨󵄨 x ε,ξ,l (s) 󵄨󵄨󵄨󵄨 p ] ≤ H, on t ≥ 0. (11) We will consider the stability of system (8), but the state space of the Markov chain is large, and it is difficult to handle (8) directly. So we will co...

متن کامل

On the Superstability and Stability of the Pexiderized Exponential Equation

The main purpose of this paper is to establish some new results onthe superstability and stability via a fixed point approach forthe Pexiderized exponential equation, i.e.,$$|f(x+y)-g(x)h(y)|leq psi(x,y),$$where $f$, $g$ and $h$ are three functions from an arbitrarycommutative semigroup $S$ to an arbitrary unitary complex Banachalgebra and also $psi: S^{2}rightarrow [0,infty)$ is afunction. Fur...

متن کامل

Fuzzy Lyapunov stability and exponential stability in control ‎systems‎

Fuzzy control systems have had various applications in a wide range of science and engineering in recent years. Since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). Conceptually, there are two types of stability for control systems: Lyapunov stability (a special case ...

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: Applicable Analysis and Discrete Mathematics

سال: 2011

ISSN: 1452-8630,2406-100X

DOI: 10.2298/aadm110810018h