Suboptimality Of Stochastic Systems: Structural Uncertainties And Information Constraints
Radovan Krtolica (1982)
Publications de l'Institut Mathématique
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Radovan Krtolica (1982)
Publications de l'Institut Mathématique
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Sládeček, Ladislav (2003)
Applied Mathematics E-Notes [electronic only]
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Ofer Biham, Nathalie Q. Balaban, Adiel Loinger, Azi Lipshtat, Hagai B. Perets (2008)
Banach Center Publications
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We analyze three simple genetic circuits which involve transcriptional regulation and feedback: the autorepressor, the switch and the repressilator, that consist of one, two and three genes, respectively. Such systems are commonly simulated using rate equations, that account for the concentrations of the mRNAs and proteins produced by these genes. Rate equations are suitable when the concentrations of the relevant molecules in a cell are large and fluctuations are negligible. However,...
Irina Bashkirtseva, Lev Ryashko (2013)
International Journal of Applied Mathematics and Computer Science
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A nonlinear discrete-time control system forced by stochastic disturbances is considered. We study the problem of synthesis of the regulator which stabilizes an equilibrium of the deterministic system and provides required scattering of random states near this equilibrium for the corresponding stochastic system. Our approach is based on the stochastic sensitivity functions technique. The necessary and important part of the examined control problem is an analysis of attainability. For...
Poznyak, A.S., Martínez-Guerra, R., Osorio-Cordero, A. (2000)
Mathematical Problems in Engineering
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Jie Wu, Zhi-cai Ma, Yong-zheng Sun, Feng Liu (2015)
Kybernetika
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In this paper, we investigate the finite-time stochastic synchronization problem of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility...
Boukas, E.K., Al-Muthairi, N.F. (2004)
Mathematical Problems in Engineering
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J. Gani (1966-1967)
Publications mathématiques et informatique de Rennes
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M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
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Sládeček, Ladislav (2003)
Applied Mathematics E-Notes [electronic only]
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Sridharan, V., Kalyani, T.V. (2005)
APPS. Applied Sciences
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Artstein, Zvi, Wets, Roger J.B. (1995)
Journal of Convex Analysis
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M. Métivier, J. Pellaumail (1977)
Publications mathématiques et informatique de Rennes
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