Uniform asymptotic stability via Liapunov-Razumikhin technique

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

Uniform Asymptotic Stability via Liapunov - Razumikhin Technique

The Liapunov Razumikhin technique is applied to obtain the uniform asymptotic stability for linear integrodifferential equations in Hilbert spaces, x′(t) = A [ x(t) + ∫ t # F (t− s)x(s)ds ] , t ≥ t0 ≥ 0, (# = 0 or −∞), which occur in viscoelasticity and in heat conduction for materials with memory.

متن کامل

Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique

and Applied Analysis 3 Definition 2.1. The trivial solution of system 2.2 is said to be globally exponentially stable, if there exist numbers λ > 0 and M 1 such that ∣∣x(t, t0, φ )∣∣ M∥∥φ∥∥e−λt, t 0, 2.3 whenever φ ∈ PC. Definition 2.2. V : −τ,∞ ×Rn → R is said to belong to the class ν0, ifV is continuous on each of the sets tk−1, tk × R, lim t,y → t− k ,x V t, y V tk, x exists, V t, x is local...

متن کامل

Stability of dynamical polysystems via families of Liapunov functions

In this paper we deal with the problem of stability and asymptotic stability of critical points of dynamical polysystems. We obtain results concerning polysystems with and without constraints, by means of uniform families of Liapunov functions. Dynamical polysystems may be interpreted as the topological counterpart of switched systems: our results are compared to those previously obtained in th...

متن کامل

Uniform Global Asymptotic Stability of Differential Inclusions

Stability of differential inclusions defined by locally Lipschitz compact valued maps is addressed. It is shown that if such a differential inclusion is globally asymptotically stable, then in fact it is uniformly globally asymptotically stable (with respect to initial states in compacts). This statement is trivial for differential equations, but here we provide the extension to compact (not ne...

متن کامل

Stability analysis of predator-prey models via the Liapunov method.

As is well known from the classical applications in the electrical and mechanical sciences, energy is a suitable Liapunov function; thus, by analogy, all energy functions proposed in ecology are potential Liapunov functions. In this paper, a generalized Lotka-Volterra model is considered and the stability properties of its non-trivial equilibrium are studied by means of an energy function first...

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: Proceedings of the American Mathematical Society

سال: 1995

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1995-1257116-8