Uniform asymptotic stability in nonlinear volterra discrete systems
نویسندگان
چکیده
منابع مشابه
Asymptotic Stability for Volterra Intergrodifferential Systems
In this paper, the successive overrelaxation iteration and the variation of parameters formula are used to discuss the stability of linear and nonlinear Volterra integrodifferential equations. Some sufficient conditions are obtained, such that the trivial solution of the Volterra integrodifferential equations is asymptotically stable; these stability conditions are given directly from the coeff...
متن کاملAsymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations
are suitable functions. We establish sufficient conditions for the boundedness and the convergence of x i as i → ∞. Some of these conditions are interesting mainly for studying stability of numerical methods for Volterra integral equations.
متن کاملUniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices
A dynamical system is called positive if any solution of the system starting from nonnegative states maintains nonnegative states forever. In many applications where variables represent nonnegative quantities we often encounter positive dynamical systems as mathematical models see 1, 2 , and many researches for positive systems have been done actively; for recent developments see, for example, ...
متن کاملLyapunov Functionals and Stability in Nonlinear Finite Delay Volterra Discrete Systems
In this research, we utilize Lyapunov functionals and obtain sufficient conditions for the stability of the zero solution of the discrete Volterra system of the form x(t+ 1) = Px(t) + t−1 ∑ s=t−r C(t, s)g(x(s)). Due to the nature of the Lyapunov functional, we will be able to show that all solutions are l ( [t0,∞) ∩ Z ) . AMS Subject Classifications: 3K20, 45J05.
متن کاملA note on uniform global asymptotic stability of nonlinear switched systems in triangular form
This note examines stability properties of systems that result from switching among globally asymptotically stable nonlinear systems in triangular form. We show by means of a counterexample that, unlike in the linear case, such a switched system might not be globally asymptotically stable, uniformly over all switching signals. We then formulate conditions that guarantee this uniform global asym...
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: Computers & Mathematics with Applications
سال: 2003
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)00081-6