Abstract

In this paper, the performance in the form of weighted l 1 -gain for k-valued logical control networks are defined and discussed via semi-tensor product method. First, the input energy and output energy can be described by the definition and construction of pseudo-logical functions. Along this line, the weighted l 1 -gain is introduced. In order to ensure that a k-valued logical control network is internally asymptotically stable and has an l 1 -gain no more than a given scalar, a sufficient condition is established by extending several Lyapunov results of Boolean networks to those of k-valued logical networks. Finally, an illustrative example is given to show the feasibility of the theoretical results.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.