An integer programming approach to optimal control problems in context-sensitive probabilistic Boolean networks

DOI10.1016/j.automatica.2011.01.035zbMath1235.93260OpenAlexW2003746073MaRDI QIDQ665166

Kunihiko Hiraishi, Koichi Kobayashi

Publication date: 5 March 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.01.035

zbMATH Keywords

optimal controlinteger programmingbiological networkscontext-sensitive probabilistic Boolean networks

Mathematics Subject Classification ID

Integer programming (90C10) Optimal stochastic control (93E20) Systems biology, networks (92C42)

Related Items (15)

State feedback based output tracking control of probabilistic Boolean networks ⋮ Dual mean field search for large scale linear and quadratic knapsack problems ⋮ Optimal intervention in semi-Markov-based asynchronous probabilistic Boolean networks ⋮ Asymptotical stability and stabilisation of probabilistic Boolean networks subject to function perturbation ⋮ Optimal control for probabilistic Boolean networks using discrete-time Markov decision processes ⋮ Optimization-based approaches to control of probabilistic Boolean networks ⋮ Stabilization of probabilistic Boolean networks via pinning control strategy ⋮ Observability conditions of Boolean control networks ⋮ State feedback design for set stabilization of probabilistic Boolean control networks ⋮ Design of reduced-order and pinning controllers for probabilistic Boolean networks using reinforcement learning ⋮ Bayesian selection probability estimation for probabilistic Boolean networks ⋮ State feedback stabilization for probabilistic Boolean networks ⋮ Controllability of Markovian jump Boolean control networks ⋮ Optimal reconstruction of noisy dynamics and selection probabilities in Boolean networks ⋮ Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks

Cites Work

• Unnamed Item
• Modeling and integer programming techniques applied to propositional calculus
• Control of systems integrating logic, dynamics, and constraints
• Control of Boolean networks: hardness results and algorithms for tree structured networks
• Minimalilty of Finite Automata Representation in Hybrid Systems Control

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