Nonlinear feedback systems perturbed by noise: steady-state probability distributions and optimal control

IEEE Transactions on Automatic Control ◽

10.1109/9.863596 ◽

2000 ◽

Vol 45 (6) ◽

pp. 1116-1130 ◽

Author(s):

D. Liberzon ◽

R.W. Brockett

Keyword(s):

Optimal Control ◽

Steady State ◽

Probability Distributions ◽

State Probability ◽

Nonlinear Feedback ◽

Feedback Systems ◽

Steady State Probability ◽

Nonlinear Feedback Systems

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A matrix perturbation method for computing the steady-state probability distributions of probabilistic Boolean networks with gene perturbations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.10.021 ◽

2011 ◽

Vol 235 (8) ◽

pp. 2242-2251 ◽

Author(s):

Wei-Wei Xu ◽

Wai-Ki Ching ◽

Shu-Qin Zhang ◽

Wen Li ◽

Xiao-Shan Chen

Keyword(s):

Steady State ◽

Perturbation Method ◽

Probability Distributions ◽

Boolean Networks ◽

State Probability ◽

Matrix Perturbation ◽

Steady State Probability ◽

Probabilistic Boolean Networks ◽

Gene Perturbations

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CSS bode lecture: “Analysis and design of steady-state behavior for nonlinear feedback systems”

2008 47th IEEE Conference on Decision and Control ◽

10.1109/cdc.2008.4738566 ◽

2008 ◽

Author(s):

Christopher I. Byrnes

Keyword(s):

Steady State ◽

Nonlinear Feedback ◽

Feedback Systems ◽

State Behavior ◽

Analysis And Design ◽

Steady State Behavior ◽

Nonlinear Feedback Systems

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Analyzing steady state probability distributions of Context-sensitive Probabilistic Boolean Networks

2009 IEEE International Workshop on Genomic Signal Processing and Statistics ◽

10.1109/gensips.2009.5174325 ◽

2009 ◽

Author(s):

Ranadip Pal

Keyword(s):

Steady State ◽

Probability Distributions ◽

Boolean Networks ◽

State Probability ◽

Steady State Probability ◽

Context Sensitive ◽

Probabilistic Boolean Networks

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Iterative solution methods for obtaining the steady-state probability distributions of Markovian multi-echelon repairable item inventory systems

Computers & Operations Research ◽

10.1016/0305-0548(93)90103-p ◽

1993 ◽

Vol 20 (8) ◽

pp. 817-828 ◽

Author(s):

Donald Gross ◽

Bingchang Gu ◽

Richard M. Soland

Keyword(s):

Steady State ◽

Probability Distributions ◽

Iterative Solution ◽

Inventory Systems ◽

State Probability ◽

Steady State Probability ◽

Solution Methods ◽

Iterative Solution Methods

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A new method and application for controlling the steady-state probability distributions of probabilistic Boolean networks

2014 IEEE Congress on Evolutionary Computation (CEC) ◽

10.1109/cec.2014.6900436 ◽

2014 ◽

Author(s):

Meng Yang ◽

Rui Li ◽

Tianguang Chu

Keyword(s):

Steady State ◽

Probability Distributions ◽

Boolean Networks ◽

State Probability ◽

Steady State Probability ◽

Probabilistic Boolean Networks

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Existence of steady-state probability distributions in multilocus models for genotype evolution

Bulletin of Mathematical Biology ◽

10.1007/bf02460064 ◽

1986 ◽

Vol 48 (1) ◽

pp. 87-95 ◽

Author(s):

Gerald Rosen

Keyword(s):

Steady State ◽

Probability Distributions ◽

State Probability ◽

Steady State Probability

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A Fast Transformation of Markov Chains and Their Respective Steady-State Probability Distributions

The Computer Journal ◽

10.1093/comjnl/bxs086 ◽

2012 ◽

Vol 57 (1) ◽

pp. 1-11 ◽

Author(s):

R. A. Vallejos C. ◽

J. M. Martinez V.

Keyword(s):

Steady State ◽

Markov Chains ◽

Probability Distributions ◽

State Probability ◽

Steady State Probability

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The Biconjugate Gradient Method for Obtaining the Steady-State Probability Distributions of Markovian Multiechelon Repairable Item Inventory Systems

Numerical Solution of Markov Chains ◽

10.1201/9781003210160-25 ◽

2021 ◽

pp. 473-489

Author(s):

Donald Gross ◽

Bingchang Gu ◽

Richard M. Soland

Keyword(s):

Steady State ◽

Gradient Method ◽

Probability Distributions ◽

Inventory Systems ◽

State Probability ◽

Steady State Probability ◽

Biconjugate Gradient Method ◽

Biconjugate Gradient

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Computation of Steady-State Probability Distributions in Stochastic Models of Cellular Networks

PLoS Computational Biology ◽

10.1371/journal.pcbi.1002209 ◽

2011 ◽

Vol 7 (10) ◽

pp. e1002209 ◽

Author(s):

Mark Hallen ◽

Bochong Li ◽

Yu Tanouchi ◽

Cheemeng Tan ◽

Mike West ◽

...

Keyword(s):

Steady State ◽

Cellular Networks ◽

Stochastic Models ◽

Probability Distributions ◽

State Probability ◽

Steady State Probability

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On explicit steady-state solutions of Fokker-Planck equations for a class of nonlinear feedback systems

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207) ◽

10.1109/acc.1998.694672 ◽

1998 ◽

Author(s):

R.W. Brockett ◽

D. Liberzon

Keyword(s):

Steady State ◽

Nonlinear Feedback ◽

Feedback Systems ◽

Fokker Planck Equations ◽

Steady State Solutions ◽

Fokker Planck ◽

Nonlinear Feedback Systems

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