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On differential stability in stochastic programming
Mathematical Programming, 1990The stability of optimal solutions of stochastic programming problems with respect to the underlying probability distribution is studied by means of results for sensitvity analysis of nonlinear programs. Gâteaux derivatives of optimal solutions are obtained under relatively weak assumptions about the ``true'' stochastic program under which the ``true''
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On the stability of stochastic chemical system
Journal of the Franklin Institute, 1978Abstract The stability of stochastic chemical system is considered. The definitions of almost sure stability and mean square stability and the corresponding stability theorems are presented and discussed. Examples concerning the stability of a two tank water heating system and a well-stirred reactor tank with random flows are studied in detail.
Ahmadi, Goodarz, Morshedi, A. M.
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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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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 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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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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Stability of stochastic neural networks.
Neural Parallel Sci. Comput., 1996Summary: The authors study the exponential stability of stochastic neural networks and the stabilization of deterministic neural networks by stochastic perturbation.
Xiaoxin Liao, Xuerong Mao
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Finite-time stochastic integral input-to-state stability and its applications
Automatica, 2023Xue-Jun Xie
exaly
Fixed time stability of impulsive stochastic nonlinear time‐varying systems
International Journal of Robust and Nonlinear Control, 2023Quanxin Zhu
exaly

