A discrete logarithmic function and Lyapunov function

نویسندگان

چکیده

The Lyapunov function plays an important role in the stability theory of dynamical systems. Its counterpart for discrete systems is not studied so much, though importance such increasing. In this letter, attempt made to construct a analog competitive Lotka-Volterra equation. For purpose, logarithmic defined and its effectiveness shown.

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

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

15 صفحه اول

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

Control Lyapunov Function

Power systems exhibit various modes of oscillation due to interactions among system components. Many of the oscillations are due to synchronous machine rotors swinging relative to each other. Controllable Series Devices (CSD), i.e. series connected Flexible AC Transmission Systems (FACTS) devices, such as Unified Power Flow Controller (UPFC), Controllable Series Capacitor (CSC) and Quadrature B...

متن کامل

Characteristic function of a meromorphic function and its derivatives

In this paper, some results of Singh, Gopalakrishna and Kulkarni (1970s) have been extended to higher order derivatives. It has been shown that, if $sumlimits_{a}Theta(a, f)=2$ holds for a meromorphic function $f(z)$ of finite order, then for any positive integer $k,$ $T(r, f)sim T(r, f^{(k)}), rrightarrowinfty$ if $Theta(infty, f)=1$ and $T(r, f)sim (k+1)T(r, f^{(k)}), rrightarrowinfty$ if $Th...

متن کامل

Discrete mappings with an explicit discrete Lyapunov function related to integrable mappings

We propose discrete mappings of second order that have a discrete analogue of Lyapunov function. The mappings are extensions of the integrable Quispel-RobertsThompson (QRT) mapping, and a discrete Lyapunov function of the mappings is identical to an explicit conserved quantity of the QRT mapping. Moreover we can obtain a differential and an ultradiscrete limit of the mappings preserving the exi...

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: JSIAM Letters

سال: 2022

ISSN: ['1883-0609', '1883-0617']

DOI: https://doi.org/10.14495/jsiaml.14.139