Robust Stability and Stability Radius for Variational Control Systems [PDF]
Abstract and Applied Analysis, 2008 We consider an integral variational control system on a Banach space and we study the connections between its uniform exponential stability and the stability, where and are Banach function spaces. We identify the viable classes of input spaces and output
Bogdan Sasu
doaj +3 more sources
ON THE STABILITY RADIUS OF SWITCHED POSITIVE LINEAR SYSTEMS
Journal of Military Science and Technology, 2020 This article investigates the stability radius based on exponentially stable of switched positive linear systems. A lower bound and upper bound for this radius with respect to structured affine positive perturbations of the system's parameters are ...
Ngoc
openalex +2 more sources
Regional Stability and Stability Radius*
ESAIM: Proceedings and Surveys, 2015 In this work we consider the problem of stability, for distributed parameter systems, through the space variable. We give an extension of the stability radius, introduced by A. J. Pritchard and S. Townley [7, 10], to the regional case.
Bernoussi A., Bel Fekih A.
doaj +2 more sources
Application of three-body stability to globular clusters – I. The stability radius [PDF]
, 2014 The tidal radius is commonly determined analytically by equating the tidal field of the galaxy to the gravitational potential of the cluster. Stars crossing this radius can move from orbiting the cluster centre to independently orbiting the galaxy.
Gareth F. Kennedy
openalex +3 more sources
Stability radius of second order linear structured differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2015 For arbitrary second order square matrices $A, B, C$; $A$ Hurwitz stable, the minimum positive value $R$ for which the differential inclusion $$\dot{x}\in F_{R}(x):=\{(A+B\Delta C)x, \ \Delta \in \mathbb{R}^{2\times 2},\ \|\Delta \| \le R \}$$ fails to ...
Henry González
doaj +2 more sources
Stability radius as a method for comparing the dynamics of neuromechanical systems. [PDF]
IEEE Trans Neural Syst Rehabil Eng, 2013 Bingham JT, Ting LH.
europepmc +2 more sources
Robust Stability and Robust Stabilization of Discrete-Time Markov Jump Linear Systems Under a Class of Stochastic Structured Nonlinear Uncertainties [PDF]
EntropyRobust stability/stabilization for discrete-time time-varying Markovian jump linear systems subject to block-diagonal stochastic parameter perturbations is addressed in this paper. Using a scaling technique, we succeed in effectively addressing the multi-
Vasile Dragan, Samir Aberkane
doaj +2 more sources
A lower bound for the stability radius of time-varying systems [PDF]
, 2004 Adina Luminiţa Sasu, Bogdan Sasu
openalex +2 more sources
Axioms, 2021 This note is devoted to a robust stability analysis, as well as to the problem of the robust stabilization of a class of continuous-time Markovian jump linear systems subject to block-diagonal stochastic parameter perturbations. The considered parametric
Vasile Dragan, Samir Aberkane
doaj +1 more source
Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations [PDF]
SIAM Journal on Matrix Analysis and Applications, 2017 We propose a fast method to approximate the real stability radius of a linear dynamical system with output feedback, where the perturbations are restricted to be real valued and bounded with respect to the Frobenius norm.
N. Guglielmi +3 more
semanticscholar +1 more source