‎The purpose of this paper is to solve two types of Lyapunov equations and quadratic matrix equations by using the spectral representation‎. ‎We focus on solving Lyapunov equations $AX+XA^*=C$ and $AX+XA^{T}=-bb^{T}$ for $A‎, ‎X in mathbb{C}^{n times n}$ and $b in mathbb{C} ^{n times s}$ with $s < n$‎, ‎which $X$ is unknown matrix‎. ‎Also‎, ‎we suggest the new method for solving quadratic matri...

visual servoing is generally contained of control and feature tracking. study of previous methods shows that no attempt has been made to optimize these two parts together. in kernel based visual servoing method, the main objective is to combine and optimize these two parts together and to make an entire control loop. this main target is accomplished by using lyapanov theory. a lyapanov candidat...

Visual Servoing is generally contained of control and feature tracking. Study of previous methods shows that no attempt has been made to optimize these two parts together. In kernel based visual servoing method, the main objective is to combine and optimize these two parts together and to make an entire control loop. This main target is accomplished by using Lyapanov theory. A Lyapanov candidat...

In this paper, modelling of a three-level chaotic supply chain network. This model has the uncertainty retailer in manufacturer. An adaptive neural fuzzy method been proposed to synchronize two networks. To train controller, first, nonlinear feedback control is designed. Then, using Lyapanov theory, it proved that controller can reduce synchronization error zero finite time. The simulation resu...

The problem of distinguishing order from disorder in dynamical systems can be answered by certain quantities such as Lyapanov exponents, fractal dimensions, power spectrum density, and algorithmic complexity measures. In this paper, we have compared two approaches to evaluate the order and disorder in dynamic systems behavior. First, this is done by mapping the system output signal to a binary ...

Key Words-Parameter-dependent Lyapunov functions; constant real parameter uncertainty; robust stability and performance. Almhmct-Parameterodependent Lyapunov functions are developed for discrete-time systems with constant real parameter uncertainty. This construction of a family of Lyapanov functions is then used to analyze robust stability with He performance bounds for state space systems. A ...

This paper presents modeling and control of a microgrid based on hybrid renewable energy sources including Photovoltaic (PV), Fuel Cell (FC) and Battery Energy Storage (BES). The overall configuration of the microgrid including dynamic models of PV, FC, BES and its power electronic interfacing are briefly described. Then controllers design methodologies for power electronic converters in order ...