Results 21 to 30 of about 123 (82)

On the uniform exponential stability of linear skew‐product semiflows

open access: yesJournal of Function Spaces, Volume 4, Issue 2, Page 145-161, 2006., 2006
The problem of uniform exponential stability of linear skew‐product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and some admissibility‐type condition.
Ciprian Preda, Björn Birnir
wiley   +1 more source

Stability analysis of periodically switched linear systems using Floquet theory

open access: yesMathematical Problems in Engineering, Volume 2004, Issue 1, Page 1-10, 2004., 2004
Stability of a switched system that consists of a set of linear time invariant subsystems and a periodic switching rule is investigated. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability. It is shown that there exists a slow switching rule that achieves exponential stability if at least one of these ...
Cevat Gökçek
wiley   +1 more source

Strict diagonal dominance in asymptotic stability of general equilibrium

open access: yesFixed Point Theory and Applications, 2013
Stability of general equilibrium is usually depicted by a dynamic process of price adjustment which makes the flow of prices eventually come to rest at certain prices, so that the supply and demand of every commodity tend to equal each other.
Sheng-Yi Hsu, Mau-Hsiang Shih
semanticscholar   +2 more sources

On a criterion of Yakubovich type for the absolute stability of nonautonomous control processes

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 16, Page 1027-1041, 2003., 2003
We generalize a criterion of Yakubovich for the absolute stability of control processes with periodic coefficients to the case when the coefficients are bounded and uniformly continuous functions.
R. Fabbri, S. T. Impram, R. Johnson
wiley   +1 more source

STABILITY ANALYSIS OF SWITCHED DISCRETE TIME-DELAY SYSTEMS WITH CONVEX POLYTOPIC UNCERTAINTIES

open access: yes, 2014
This article is concerned with robust stability of switched discrete time-delay systems with convex polytopic uncertainties. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function
M. Rajchakit, G. Rajchakit
semanticscholar   +1 more source

Matrix measure and application to stability of matrices and interval dynamical systems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 75-85, 2003., 2003
Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended.
Ziad Zahreddine
wiley   +1 more source

Dynamics of a class of uncertain nonlinear systems under flow‐invariance constraints

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 263-294, 2003., 2003
For a class of uncertain nonlinear systems (UNSs), the flow-invariance of a time‐dependent rectangular set (TDRS) defines individual constraints for each component of the state‐space trajectories. It is shown that the existence of the flow‐invariance property is equivalent to the existence of positive solutions for some differential inequalities with ...
Octavian Pastravanu, Mihail Voicu
wiley   +1 more source

Numerical solution of fractional Mathieu equations by using block-pulse wavelets

open access: yesJournal of Ocean Engineering and Science, 2019
In this paper, we introduce a method based on operational matrix of fractional order integration for the numerical solution of fractional Mathieu equation and then apply it in a number of cases.
P. Pirmohabbati   +3 more
doaj   +1 more source

[Retracted] On the interlacing property and the Routh‐Hurwitz criterion

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 12, Page 727-737, 2003., 2003
Unlike the Nyquist criterion, root locus, and many other stability criteria, the well‐known Routh‐Hurwitz criterion is usually introduced as a mechanical algorithm and no attempt is made whatsoever to explain why or how such an algorithm works. It is widely believed that simple derivations of this important criterion are highly requested by the ...
Ziad Zahreddine
wiley   +1 more source

General decay in a Timoshenko-type system with thermoelasticity with second sound

open access: yesAdvances in Nonlinear Analysis, 2015
In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali   +3 more
doaj   +1 more source

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