Lyapunov function as potential function: A dynamical equivalence

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

Input-to-state dynamical stability and its Lyapunov function characterization

We present a new variant of the input–to–state stability (ISS) property which is based on using a one–dimensional dynamical system for building the class KL function for the decay estimate and for describing the influence of the perturbation. We show the relation to the original ISS formulation and describe characterizations by means of suitable Lyapunov functions. As applications, we derive qu...

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

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

A New Modification of Morse Potential Energy Function

Interaction of meso — tetrakis (p-sulphonato phenyl) porphyrin (hereafter abbreviated to TSPP)with Na+ has been examined using HF level of theory with 6-31G* basis set. Counterpoise (CP)correction has been used to show the extent of the basis set superposition error (BSSE) on thepotential energy curves. The numbers of Na+ have a significant effect on the calculated potentialenergy curve (includ...

متن کامل

Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions

The basin of attraction of an asymptotically stable fixed point of the discrete dynamical system given by the iteration xn+1 = g(xn) can be determined through sublevel sets of a Lyapunov function. In [3] a Lyapunov function is constructed by approximating the solution of a difference equation using radial basis functions. However, the resulting Lyapunov function is non-local, i.e. it has no neg...

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: Chinese Physics B

سال: 2014

ISSN: 1674-1056

DOI: 10.1088/1674-1056/23/1/010505