Displaying similar documents to “Suboptimality Of Stochastic Systems: Structural Uncertainties And Information Constraints”

Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback

Patrick Florchinger (2016)

Kybernetika

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In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest...

Deterministic and stochastic simulations of simple genetic circuits

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,...

Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems

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...

Finite-time synchronization of chaotic systems with noise perturbation

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...

Infinite dimensional uncertain dynamic systems on Banach spaces and their optimal output feedback control

N.U. Ahmed (2015)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper we consider a class of partially observed semilinear dynamic systems on infinite dimensional Banach spaces subject to dynamic and measurement uncertainty. The problem is to find an output feedback control law, an operator valued function, that minimizes the maximum risk. We present a result on the existence of an optimal (output feedback) operator valued function in the presence of uncertainty in the system as well as measurement. We also consider uncertain stochastic systems...