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Stability in linear estimation

IEEE Transactions on Information Theory, 1992
In the linear model, two indices of stability of estimators with respect to errors in the disturbances specification are discussed. Best, in the sense of maximizing such indices, linear unbiased estimates are derived under conditions bounding the distance in terms of variance to the least squares estimator.
KELLY, PA, ROOT, WL
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A Characterization of Stability in Linear Programming

Operations Research, 1977
We prove that a necessary and sufficient condition for the primal and dual solution sets of a solvable, finite-dimensional linear programming problem to be stable under small but arbitrary perturbations in the data of the problem is that both of these sets be bounded.
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On stabilization of switching linear systems

Automatica, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Uniform Stability and Stabilization of Linear Thermoelastic Systems

Journal of Dynamical and Control Systems, 2000
The object of the paper is to study mathematical models of elastic, heat conductive media. For such linear thermoelastic systems, uniform stability and stabilization methods are investigated. An explicit stabilizing feedback for such system is developed and proposed. The exponential stability for this stabilizer is proved using Lyapunov functions.
Benabdallah, A., Soufyane, A.
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Interval Stability and Stabilization of Linear Stochastic Systems

IEEE Transactions on Automatic Control, 2009
This technical note applies the spectrum technique to deal with the interval stability and stabilization of linear stochastic time-invariant systems. First, the notion of (-beta,-alpha) -stability of stochastic systems is defined and some relationships among the (-beta,-alpha) -stability, the decay rate of system state response, and the second-order ...
Weihai Zhang, Lihua Xie 0001
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On the stability and the stabilization of linear discrete repetitive processes

Multidimensional Systems and Signal Processing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olivier Bachelier   +2 more
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The stability of the linear systems with delays

International Journal of Systems Science, 2000
In this paper, we study the linear autonomous system of differential difference equations with delays. Some simple and practical sufficient conditions of the hyperbolic cone and the asymptotic stable cone are established.
Ting-Zhu Huang   +2 more
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Linear Nonisothermal Stability Studies

Journal of Pharmaceutical Sciences, 1968
A method for evaluation and utilization of data from linear nonisothermal kinetics has been developed. The studies have yielded energy of activation, reaction rate, and stability predictions from a single experiment. The relatively short length of time needed to complete a study and the comparatively few analytical experiments required present a ...
M A, Zoglio   +6 more
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On the linear stability of Stokes layers

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008
Oscillatory flows occur naturally, with applications ranging across many disciplines from engineering to physiology. Transition to turbulence in such flows is a topic of practical interest and this article discusses some recent work that has furthered our understanding of the stability of a class of time-periodic fluid motions. Our study starts with an
Blennerhassett, P. J., Bassom, Andrew P.
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Stability Constants in Linear Spaces

Constructive Approximation, 2010
Let \(X\) be a linear space over the reals, \(D\subset X,\) and let \(E\) be a Banach space. A function \(f:D\to E\) is said to be \(\delta\)-Jensen if \[ \left\| f\left(\frac{x+y}{2}\right)-\frac{f(x)+f(y)}{2}\right\|\leq\delta \] whenever \(x,y,(x+y)/2\in D.\) The stability constant for Jensen equation is the infimum of those constants \(C\) for ...
Laczkovich, M., Paulin, R.
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