Stability and stabilization of Boolean networks with impulsive effects

DOI10.1016/j.sysconle.2011.09.019zbMath1250.93078OpenAlexW1984695935MaRDI QIDQ450678

Jitao Sun, Fangfei Li

Publication date: 14 September 2012

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.09.019

zbMATH Keywords

stabilitystabilizationBoolean networkssystems biologysemi-tensor product of matricesimpulsive effects

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Robust stability (93D09) Systems biology, networks (92C42)

Related Items (31)

Detectability of Boolean networks with disturbance inputs ⋮ State feedback controller design for the synchronization of Boolean networks with time delays ⋮ On Identification of Boolean Control Networks ⋮ Observability conditions of Boolean control networks ⋮ Consensus seeking in multi-agent systems via hybrid protocols with impulse delays ⋮ Synchronization of switched Boolean networks with impulsive effects ⋮ Safe control of logical control networks with random impulses ⋮ \(\mathcal{L_C}\) structure-preserving method based on semi-tensor product of matrices for the QR decomposition in quaternionic quantum theory ⋮ Lyapunov-based stability of time-triggered impulsive logical dynamic networks ⋮ Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach ⋮ Self-triggered scheduling for the stabilization of impulsive Boolean control networks ⋮ Stability of delay differential systems under impulsive control suffered by logic choice ⋮ Bisimulations of Boolean Control Networks ⋮ Stability analysis of time-delay discrete systems with logic impulses ⋮ Set stabilizability of impulsive probabilistic Boolean networks via impulsive sequence design ⋮ Simultaneous stabilization for a set of Boolean control networks ⋮ Topologies on quotient space of matrices via semi‐tensor product ⋮ Stability analysis of state‐triggered impulsive boolean networks based on a hybrid index model ⋮ Output controllability and optimal output control of state-dependent switched Boolean control networks ⋮ Stabilizability analysis and switching signals design of switched Boolean networks ⋮ State analysis of Boolean control networks with impulsive and uncertain disturbances ⋮ On the periodic trajectories of Boolean control networks ⋮ Optimal control of multi-task Boolean control networks via temporal logic ⋮ Controllability of higher order Boolean control networks ⋮ Finite-time stability analysis of stochastic switched Boolean networks with impulsive effect ⋮ Synchronization of drive-response Boolean control networks with impulsive disturbances ⋮ Robust set stabilization of Boolean control networks with impulsive effects ⋮ Complex systems with impulsive effects and logical dynamics: a brief overview ⋮ Partial stability and stabilisation of Boolean networks ⋮ Stabilization of Boolean control networks with stochastic impulses ⋮ Controllability of Boolean control networks with impulsive effects and forbidden states

Cites Work

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• Superpolynomial Growth in the Number of Attractors in Kauffman Networks
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• FINDING CYCLES IN SYNCHRONOUS BOOLEAN NETWORKS WITH APPLICATIONS TO BIOCHEMICAL SYSTEMS
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