Invertibility and nonsingularity of Boolean control networks

DOI10.1016/j.automatica.2015.07.016zbMath1331.93106OpenAlexW940409914MaRDI QIDQ900212

Kuize Zhang, Xie, Lihua, Li-jun Zhang

Publication date: 21 December 2015

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2015.07.016

zbMATH Keywords

symbolic dynamicsinvertibilityBoolean control networksemi-tensor product of matricesnonsingularitycontrol of the mammalian cell cycleweighted pair graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Cell biology (92C37) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (21)

On reducible state variables of logical control networks ⋮ Observability of Boolean control networks with time-variant delays in states ⋮ Invertibility of higher order \(k\)-valued logical control networks and its application in trajectory control ⋮ Synchronization of switched logical control networks via event-triggered control ⋮ Set stability of switched delayed logical networks with application to finite-field consensus ⋮ On quotients of Boolean control networks ⋮ Further results on feedback stabilization control design of Boolean control networks ⋮ Lyapunov-Based Stability and Construction of Lyapunov Functions for Boolean Networks ⋮ Bisimulations of Boolean Control Networks ⋮ On disturbance decoupling problem of Boolean control networks ⋮ Topologies on quotient space of matrices via semi‐tensor product ⋮ Controllability, reachability, and stabilizability of finite automata: a controllability matrix method ⋮ Perturbation Analysis for Controllability of Logical Control Networks ⋮ Column stacking approach to resolution of systems of fuzzy relational inequalities ⋮ Finite-time stability analysis of stochastic switched Boolean networks with impulsive effect ⋮ Event-triggered control for disturbance decoupling problem of mix-valued logical networks ⋮ A Weighted Pair Graph Representation for Reconstructibility of Boolean Control Networks ⋮ A Control Lyapunov Function Approach to Feedback Stabilization of Logical Control Networks ⋮ Cascading state-space decomposition of Boolean control networks by nested method ⋮ Reduction and Analysis of Boolean Control Networks by Bisimulation ⋮ Stability analysis of multi-valued logical networks with Markov jump disturbances

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