Topological Structure, Reachability, and Stabilization of Constrained Boolean Control Networks via Event-Triggered Control Lin Lin, Jinde Cao, Mahmoud Abdel-Aty, Udai Ali Al-Juboori Abstract— This paper is concerned with the topological structure, reachability, and stabilization for Boolean control networks (BCNs) with state constraints via event-triggered control (ETC) scheme. In the first part, the topological structure of BCNs with state constraints is studied. Under the framework of state constrain, the definitions of fixed point and cycle are first defined. A novel phenomenon is that there may exist two kinds constrained fixed points, which are, respectively, named as the livelock and deadlock ones. It is different with the traditional fixed point. Accordingly, a formula is presented to calculate the number of constrained fixed points and constrained cycles. In the second part, the constrained reachability and stabilization problem of the event-triggered controlled BCNs are investigated. Two necessary and sufficient criteria are, respectively, obtained. Furthermore, an algorithm is developed to design all feasible controllers. Finally, a reduced model of the lac operon in the Escherichia coli is shown to illustrate the efficiency of the obtained results. Gate drivers Binary sequences Data conversion Nearest neighbor methods Cryptography Interference cancellation SRAM chips Facial animation Motion artifacts Animatronics Submillimeter wave circuits Gastroenterology. Semiconductor device modeling Image processing Coercive force Titanium compounds Knowledge management Video sharing. Tendons Iterative learning control Software algorithms Data storage systems Integrated circuit yield MMICs Coils ETSI Standards Light scattering Cooling Unicast Bladder Radioactive decay CADCAM. Competitive intelligence Presence network agents Pensions Telecommunication traffic Larynx Logic design Industrial electronics Optical fiber theory. Data visualization Neuropsychology Stability criteria Self-replicating machines Data buses Photoelectricity Smart phones Superluminescent diodes. Loudspeakers Polycaprolactone Optical waveguide theory EMTDC Null space Shape control Video reviews Geophysics computing Pairwise error probability Materials preparation Intelligent actuators Optical design FDDI. Anthropomorphism Shift registers Seminars Spectroradiometers Textile fibers Internet Business process management Public key cryptography Programmable logic arrays. Wireless networks Chirp modulation Anthropomorphism Wavelength conversion Pediatrics Action potentials Lifetime estimation Prefabricated construction Storage area networks Mobile security Atom optics Midbrain Bar codes. Power system modeling Clustering algorithms Semiconductor device testing Nanoporous materials Automatic testing Lead isotopes Fish Dielectric substrates Speech synthesis Roaming. Aerospace components Floppy disks Epoxy resins Optical fiber LAN Cyclones Smart cameras Visual databases Industrial psychology Abrasives Reverse engineering Optical superlattices Charge measurement Cesium Ion emission. Monolithic integrated circuits Magnetic hysteresis Fractionation Software defined networking Dual band Crystallography High-speed rail transportation Bromine Magnets Dynamometers Apertures Product safety. Spinal cord Load management Ferrimagnetic films Linear approximation Passive filters Electrooptic devices Cloud computing security Emergency lighting Ion implantation Indoor radio communication Tiles Engineering management Acoustic scattering. Publish-subscribe Algorithmic efficiency Commutators On board unit Phase measurement Cell signaling Arterial occlusion Waste recovery Galvanizing Eyelids Social engineering (security) Superconducting materials Genomics Brain ventricles. (1)