This paper is about the equilibrium point of fuzzy difference system. First, using fuzzy cut-set theory, the fuzzy difference system is transformed into a system of rational difference equations. Second, the existence and uniqueness of the solutions of rational difference system are achieved by iterative method, inequality property and mathematical induction method, and then the solution of fuzzy difference system is obtained. Finally, the two equilibrium points of the rational difference system are discussed by using the linearization theory, and then the sufficient conditions for the instability of the zero equilibrium point of the nonlinear fuzzy difference system are obtained.
In this article, we studies the synchronous problem of a fractional neural-networks. Based on the open-loop and adaptive feedback controls, we obtain the controller expression ensuring the projection synchronization for this models. Adopting V-function and applying comparison principle, a sufficient condition for the model to achieve projection synchronization is achieved.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.