Stabilization of Delayed Boolean Control Networks With State Constraints: A Barrier Lyapunov Function Method
Aixin Liu, Haitao Li
Abstract
The stabilization for delayed Boolean control networks (DBCNs) with state constraints is studied. The definition of barrier Lyapunov function (BLF) is put forward for DBCNs with state constraints. The stabilization of DBCNs with state constraints is proved to equal the existence of BLF. Furthermore, the delayed state feedback gain can be constructed via BLF. Finally, the obtained results are verified by networked evolutionary games with memories.
Topics & Concepts
Lyapunov functionState (computer science)Control theory (sociology)Function (biology)Control (management)MathematicsLyapunov redesignBoolean functionControl-Lyapunov functionBoolean networkComputer scienceDiscrete mathematicsAlgorithmNonlinear systemPhysicsArtificial intelligenceQuantum mechanicsEvolutionary biologyBiologyGene Regulatory Network AnalysisNeural Networks Stability and SynchronizationNeural dynamics and brain function