Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On Guaranteed Global Exponential Stability Of Polynomial Singularly Perturbed Control Systems
View through CrossRef
The problem of global exponential stability for a class of nonlinear singularly perturbed systems is examined in this paper. The stability analysis is based on the use of basic results of integral manifold of nonlinear singularly perturbed systems, the composite Lyapunov method and the notations and properties of Tensoriel algebra. Some of the derived results are presented as linear matrix inequalities (LMIs) feasibility tests. Moreover, we pointed out that if the global exponential stability of the reduced order subsystem is established this is equivalent to guarantee the global exponential stability of the original high order closed loop system. An upper bound e1 of the small parameter e , can also be determined up to which established stability conditions via LMI’s are maintained verified. A numerical example is given to illustrate the proposed approach.
Agora University of Oradea
Title: On Guaranteed Global Exponential Stability Of Polynomial Singularly Perturbed Control Systems
Description:
The problem of global exponential stability for a class of nonlinear singularly perturbed systems is examined in this paper.
The stability analysis is based on the use of basic results of integral manifold of nonlinear singularly perturbed systems, the composite Lyapunov method and the notations and properties of Tensoriel algebra.
Some of the derived results are presented as linear matrix inequalities (LMIs) feasibility tests.
Moreover, we pointed out that if the global exponential stability of the reduced order subsystem is established this is equivalent to guarantee the global exponential stability of the original high order closed loop system.
An upper bound e1 of the small parameter e , can also be determined up to which established stability conditions via LMI’s are maintained verified.
A numerical example is given to illustrate the proposed approach.
Related Results
Domination of Polynomial with Application
Domination of Polynomial with Application
In this paper, .We .initiate the study of domination. polynomial , consider G=(V,E) be a simple, finite, and directed graph without. isolated. vertex .We present a study of the Ira...
Nonlinear optimal control for robotic exoskeletons with electropneumatic actuators
Nonlinear optimal control for robotic exoskeletons with electropneumatic actuators
Purpose
To provide high torques needed to move a robot’s links, electric actuators are followed by a transmission system with a high transmission rate. For instance, gear ratios of...
Akar-akar Polinomial Separable sebagai Pembentuk Perluasan Normal pada Ring Modulo
Akar-akar Polinomial Separable sebagai Pembentuk Perluasan Normal pada Ring Modulo
One of the most important uses of the ring and field theory is an extension of a broader field so that a polynomial can be found to have roots. In this study researchers took modul...
Exponential B-Spline Method for Second Order Singularly Perturbed Boundary Value Problem with Negative Shift
Exponential B-Spline Method for Second Order Singularly Perturbed Boundary Value Problem with Negative Shift
In this paper, we present a numerical scheme based on exponential B-spline method for the solution of singularly perturbed delay differential equation.The equation is transformed t...
The Multivariable Zhang–Zhang Polynomial of Phenylenes
The Multivariable Zhang–Zhang Polynomial of Phenylenes
The Zhang–Zhang polynomial of a benzenoid system is a well-known counting polynomial that was introduced in 1996. It was designed to enumerate Clar covers, which are spanning subgr...
A New Alternative to Szeged, Mostar, and PI Polynomials—The SMP Polynomials
A New Alternative to Szeged, Mostar, and PI Polynomials—The SMP Polynomials
Szeged-like topological indices are well-studied distance-based molecular descriptors, which include, for example, the (edge-)Szeged index, the (edge-)Mostar index, and the (vertex...
Domination of polynomial with application
Domination of polynomial with application
In this paper, .We .initiate the study of domination. polynomial , consider G=(V,E) be a simple, finite, and directed graph without. isolated. vertex .We present a study of the Ira...
ECONOMIC ESSENCE OF THE FINANCIAL STABILITY OF THE BANKING SYSTEM
ECONOMIC ESSENCE OF THE FINANCIAL STABILITY OF THE BANKING SYSTEM
Introduction. The article examines the essence of financial stability and stability of the banking system in order to analyze and understand them. The main approaches to interpreti...