A Maximum Principle for Single-Input Boolean Control Networks

DOI10.1109/TAC.2010.2101430zbMath1368.93344OpenAlexW2149869214MaRDI QIDQ5347686

Dmitriy Laschov, Michael Margaliot

Publication date: 25 August 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2010.2101430

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Discrete-time control/observation systems (93C55)

Related Items

On robust control invariance of Boolean control networks ⋮ On reducible state variables of logical control networks ⋮ Linearization of nonlinear filter generators and its application to cryptanalysis of stream ciphers ⋮ Stability of a switched Boolean network via designing switching laws ⋮ Observability of Boolean networks: a graph-theoretic approach ⋮ Symbolic dynamics of Boolean control networks ⋮ Output tracking of switched Boolean networks under open-loop/closed-loop switching signals ⋮ A new approximate dynamic programming algorithm based on an actor–critic framework for optimal control of alkali–surfactant–polymer flooding ⋮ Observability of Boolean networks via set controllability approach ⋮ Disturbance decoupling of mix-valued logical networks via the semi-tensor product method ⋮ Graph theory methods for decomposition w.r.t. outputs of Boolean control networks ⋮ Synchronization of switched logical control networks via event-triggered control ⋮ Stabilization of dynamic-algebraic Boolean control networks via state feedback control ⋮ A Semi-Tensor Product Approach to Pseudo-Boolean Functions with Application to Boolean Control Networks ⋮ Optimal Control of Finite-Valued Networks ⋮ Observability conditions of Boolean control networks ⋮ A note on the observability of temporal Boolean control network ⋮ Set stability of switched delayed logical networks with application to finite-field consensus ⋮ Further results on feedback stabilization control design of Boolean control networks ⋮ On algorithms for state feedback stabilization of Boolean control networks ⋮ Function perturbations on singular Boolean networks ⋮ Fault detection and pinning control of Boolean networks ⋮ Controllability Analysis and Control Design for Switched Boolean Networks with State and Input Constraints ⋮ Function perturbations in Boolean networks with its application in a \textit{D. melanogaster} gene network ⋮ Asymptotical feedback controllability of continuous-time probabilistic logic control networks ⋮ Lyapunov-Based Stability and Construction of Lyapunov Functions for Boolean Networks ⋮ On controllability and stabilizability of probabilistic Boolean control networks ⋮ Two kinds of optimal controls for probabilistic mix-valued logical dynamic networks ⋮ Output tracking control of Boolean control networks via state feedback: constant reference signal case ⋮ Parameter learning of stochastic Boolean networks ⋮ Mean-square stability of discrete-time switched systems under modeled random switching ⋮ Robust optimal control of logical control networks with function perturbation ⋮ Stabilization of discrete-time switched systems with constraints by dynamic logic-based switching feedback ⋮ Set stability and set stabilization of Boolean control networks based on invariant subsets ⋮ Controllability and optimal control of a temporal Boolean network ⋮ Bisimulations of Boolean Control Networks ⋮ On Regular Subspaces of Boolean Control Networks ⋮ Functional observer design for Boolean control networks with unknown structures ⋮ Simultaneous stabilization for a set of Boolean control networks ⋮ Controllability of Boolean control networks via the Perron-Frobenius theory ⋮ A matrix approach to graph maximum stable set and coloring problems with application to multi-agent systems ⋮ On the Optimal Control of Boolean Control Networks ⋮ Existence and number of fixed points of Boolean transformations via the semi-tensor product method ⋮ Output tracking of probabilistic Boolean networks by output feedback control ⋮ Recent advances in optimization and game theoretic control for networked systems ⋮ On disturbance decoupling problem of Boolean control networks ⋮ Stability analysis of state‐triggered impulsive boolean networks based on a hybrid index model ⋮ An improved multiple‐state observer of Boolean control networks ⋮ Output controllability and optimal output control of state-dependent switched Boolean control networks ⋮ Sampled-Data State Feedback Stabilization of Boolean Control Networks ⋮ Robust output controllability analysis and control design for incomplete Boolean networks with disturbance inputs ⋮ State feedback stabilization for probabilistic Boolean networks ⋮ Disturbance decoupling control design for switched Boolean control networks ⋮ On Boolean control networks with maximal topological entropy ⋮ Minimum energy control and optimal-satisfactory control of Boolean control network ⋮ Kalman decomposition for Boolean control networks ⋮ A minimum-time control for Boolean control networks with impulsive disturbances ⋮ Optimal control of Boolean control networks with average cost: a policy iteration approach ⋮ Column stacking approach to resolution of systems of fuzzy relational inequalities ⋮ SYNCHRONIZATION CRITERIA FOR TWO BOOLEAN NETWORKS BASED ON LOGICAL CONTROL ⋮ Asymptotical feedback controllability of probabilistic logic control networks ⋮ \(l_{1}\)-gain analysis and model reduction problem for Boolean control networks ⋮ Set stabilization for switched Boolean control networks ⋮ On reachability and controllability of switched Boolean control networks ⋮ A new linearization method for nonlinear feedback shift registers ⋮ A Mayer-type optimal control for multivalued logic control networks with undesirable states ⋮ Optimal control algorithms for switched Boolean network ⋮ Controllability of Context-Sensitive Probabilistic Mix-Valued Logical Control Networks with Constraints ⋮ On the ensemble controllability of Boolean control networks using STP method ⋮ Controllability of Markovian jump Boolean control networks ⋮ Solvability and control design for synchronization of Boolean networks ⋮ Lyapunov‐Based Stability of Mix‐Valued Logical Networks ⋮ Partial stability and stabilisation of Boolean networks ⋮ Minimum-Time State Feedback Stabilization of Constrained Boolean Control Networks ⋮ Necessary and sufficient vertex partition conditions for input-output decoupling of Boolean control networks ⋮ Robust graph coloring based on the matrix semi-tensor product with application to examination timetabling ⋮ Cascading state-space decomposition of Boolean control networks by nested method ⋮ A matrix approach to hypergraph stable set and coloring problems with its application to storing problem ⋮ Optimal control of random evolutionary Boolean games ⋮ Reduced-order observer design for fault diagnosis of Boolean control networks ⋮ Controllability of probabilistic Boolean control networks based on transition probability matrices ⋮ Controllability of Boolean control networks with impulsive effects and forbidden states ⋮ High-order fully actuated system approaches: Part VIII. Optimal control with application in spacecraft attitude stabilisation ⋮ Bi-decomposition of multi-valued logical functions and its applications ⋮ Pinning control design for robust output tracking of \(k\)-valued logical networks

This page was built for publication: A Maximum Principle for Single-Input Boolean Control Networks