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IEEE Conference on Decision and Control and European Control Conference, 2011
The problem of providing an adequate definition of a stochastic system is addressed and motivated using examples. A stochastic system is defined as a probability triple. The specification of the set of events is an essential part of a stochastic model and it is argued that for phenomena with as outcome space a finite dimensional vector space, the ...
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The problem of providing an adequate definition of a stochastic system is addressed and motivated using examples. A stochastic system is defined as a probability triple. The specification of the set of events is an essential part of a stochastic model and it is argued that for phenomena with as outcome space a finite dimensional vector space, the ...
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Journal of Applied Mechanics, 1988
Equivalent stochastic systems are defined as randomly excited dynamical systems whose response vectors in the state space share the same probability distribution. In this paper, the random excitations are restricted to Gaussian white noises; thus, the system responses are Markov vectors, and their probability densities are governed by the associated ...
Lin, Y. K., Cai, G. Q.
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Equivalent stochastic systems are defined as randomly excited dynamical systems whose response vectors in the state space share the same probability distribution. In this paper, the random excitations are restricted to Gaussian white noises; thus, the system responses are Markov vectors, and their probability densities are governed by the associated ...
Lin, Y. K., Cai, G. Q.
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Cybernetics and Systems Analysis
Controlled Markov and semi-Markov processes and systems are considered. A review of inventory control problems is provided. One- and multiproduct models with different types of cost function and optimality criteria are considered. The optimality conditions and structures of optimal strategies in the problems are investigated.
Knopov, P. S., Pepelyaeva, T. V.
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Controlled Markov and semi-Markov processes and systems are considered. A review of inventory control problems is provided. One- and multiproduct models with different types of cost function and optimality criteria are considered. The optimality conditions and structures of optimal strategies in the problems are investigated.
Knopov, P. S., Pepelyaeva, T. V.
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Stochastic safety analysis of stochastic hybrid systems
2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017This work establishes an optimisation scheme for computing safety of stochastic hybrid systems. Specifically, the scheme computes the probability of reaching the set of unsafe states from a set of initial states. We address hybrid systems with both sporadic and state dependent switches. The method combines two approaches: the barrier certificate method
Rafael Wisniewski +1 more
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On detectability of stochastic systems
Automatica, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic chaos and resonance in a bistable stochastic system
Physical Review E, 1996We study a periodically driven bistable system in the presence of fluctuations. The spectral properties of the Fokker-Planck equation are studied using the finite element method. The ground Floquet state exhibits stochastic resonance. The dynamics of the Fokker-Planck equation governing the system is equivalent to that of a quantum system governed by ...
, Kim, , Reichl
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Stochastic Resonance in Bistable Systems
Physical Review Letters, 1989The relaxation properties of a stochastic bistable system perturbed by a periodic low-frequency forcing term is investigated by means of analog simulation. The so-called stochastic resonance phenomenon is revealed under diverse experimental conditions. Its dependence on the parameters of both the periodic perturbation and the forced system is explained
GAMMAITONI, Luca +3 more
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WHIRL DECOMPOSITION OF STOCHASTIC SYSTEMS
IEEE Transactions on Computers, 1971Using a technique based on "state splitting" it is shown that every n-state Markov system is decomposable into a whirl interconnection of n−1 two-state Markov systems.
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1969
The invention of the steam engine in the late eighteenth century made it possible to replace the muscle-power of men and animals by the motive power of machines. The invention of the stored-program digital computer during the second world war made it possible to replace the lower-level mental processes of man, such as arithmetic computation and ...
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The invention of the steam engine in the late eighteenth century made it possible to replace the muscle-power of men and animals by the motive power of machines. The invention of the stored-program digital computer during the second world war made it possible to replace the lower-level mental processes of man, such as arithmetic computation and ...
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THE STOCHASTIC MAGNETO-HYDRODYNAMIC SYSTEM
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 1999The magneto-hydrodynamic system perturbed by white noise is cast as a stochastic partial differential equation taking values in an appropriate Lusin space. The martingale problem associated with this SPDE is shown to be well-posed under suitable conditions.
Sritharan, S. S., Sundar, P.
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