Results 281 to 290 of about 98,720 (311)
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A survey of stability of stochastic systems
Automatica, 1969The main purpose of this manuscript is to give to the interested reader some understanding of the subject of stability of stochastic systems. We present some of the basic ideas as well as a survey of results that have appeared in the literature. Theorems are presented, where appropriate, but no proofs are given.
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STABILITY OF STOCHASTIC SYSTEMS WITH MEMORY
Stochastics and Dynamics, 2005Many processes in physics, biology, ecology, mechanics etc. can be modeled by Volterra integro-differential equations (VIDEs) with "fading memory". Often the behaviour of corresponding systems is perturbed by random noises. One of the main problems for the theory of stochastic Volterra integro-differential equations (SVIDEs) is connected with their ...
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Stochastic stability of coupled oscillators
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Stability in a Model of Drilling
Journal of Dynamical and Control Systems, 2000This paper deals with the stability of dynamics in the so-called one-dimensional model of drilling. This model was suggested by A. Lasota and P. Rusek and describes dynamical properties of the drilling process by the consideration of a piecewise monotonic transformation (say \(\beta)\) depending on scalar and functional parameters.
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Stability and Bifurcation in Stochastic Systems
1990Two examples of two-dimensional stochastic systems showing Hopf resp. pitchwork bifurcation are investigated. The noise is modeled as white noise resp. harmonic noise resp. a combination of both. By a Monte-Carlo simulation the Lyapunov exponent is estimated. In certain limiting cases analytic solutions are available.
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Quantitative stability in stochastic programming
Mathematical Programming, 1994The distance between optimal solutions of stochastic linear programs with fixed recourse is analyzed starting from a ``true'' and an ``approximate'' probability measure. The presented estimate relies on the second-order growth condition of the recourse function \(Q\), rather than on a particular choice of the metric of probability measures, suggested ...
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Stability analysis for stochastic hybrid systems: A survey
Automatica, 2014Andrew R Teel +2 more
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Finite-time stability and instability of stochastic nonlinear systems
Automatica, 2011Juliang Yin +2 more
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Stability analysis of semi-Markov switched stochastic systems
Automatica, 2018Bao Wang, Quanxin Zhu
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Some Improved Razumikhin Stability Criteria for Impulsive Stochastic Delay Differential Systems
IEEE Transactions on Automatic Control, 2019Wei Hu, Quanxin Zhu, Hamid Reza Karimi
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