The set stabilization problem for Markovian jump Boolean control networks: an average optimal control approach

DOI10.1016/j.amc.2021.126133OpenAlexW3134434061MaRDI QIDQ2242777

Sanmei Zhu, Jun-E. Feng

Publication date: 10 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126133

zbMATH Keywords

optimal controlstate feedbacksemi-tensor productMarkovian jumpBoolean control networks

Mathematics Subject Classification ID

Model systems in control theory (93Cxx) Stability of control systems (93Dxx) Controllability, observability, and system structure (93Bxx)

Related Items (6)

Set controllability of Markov jump switching Boolean control networks and its applications ⋮ Recent developments of Boolean networks with switching and constraints ⋮ Robust minimal strong reconstructibility problem of Boolean control networks ⋮ Simplification of logical functions with application to circuits ⋮ Stability analysis of Boolean networks with Markov jump disturbances and their application in apoptosis networks ⋮ Observability for Markovian jump Boolean network with random delay effect in states

Cites Work

• Unnamed Item
• Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters
• Detectability of Boolean networks with disturbance inputs
• LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter
• Analysis and control of Boolean networks. A semi-tensor product approach.
• Stabilization of \(k\)-valued logical control networks by open-loop control via the reverse-transfer method
• Optimal control of Boolean control networks with average cost: a policy iteration approach
• Feedback stabilization control design for switched Boolean control networks
• Finite-time stability analysis of stochastic switched Boolean networks with impulsive effect
• On detectability of Boolean control networks
• Finite-time pinning stabilization of Markovian jump Boolean networks
• On the ensemble controllability of Boolean control networks using STP method
• Controllability of Markovian jump Boolean control networks
• Synchronization of drive-response Boolean control networks with impulsive disturbances
• Observability of Boolean networks via matrix equations
• Persistent impulsive effects on stability of functional differential equations with finite or infinite delay
• The equivalence issue of two kinds of controllers in Boolean control networks
• Optimal Control of Boolean Control Networks
• On the stability of impulsive functional differential equations with infinite delays
• Stability and $l_1$ Gain Analysis of Boolean Networks With Markovian Jump Parameters
• Stability and Set Stability in Distribution of Probabilistic Boolean Networks
• Controllability and stabilization of Boolean control networks by the auxiliary function of flipping
• Sampled-Data Set Stabilization of Impulsive Boolean Networks Based on a Hybrid Index Model
• An average optimal control approach to the set stabilization problem for boolean control networks
• Controllability decomposition of dynamic-algebraic Boolean control networks
• Observability of Boolean networks via STP and graph methods
• On the Optimal Control of Boolean Control Networks

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