Analysis of the Positivity and Stability of Fractional Discrete-Time Nonlinear Systems

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 471)


The positivity and asymptotic stability of the discrete-time nonlinear systems are addressed. Necessary and sufficient conditions for the positivity and sufficient conditions for the asymptotic stability of the nonlinear systems are established. The proposed stability tests are based on an extension of the Lyapunov method to the positive nonlinear systems. The effectiveness of the tests are demonstrated on examples.


Positivity Stability Fractional Nonlinear System 



This work was supported by National Science Centre in Poland under work No. 2014/13/B/ST7/03467.


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Faculty of Electrical EngineeringBialystok University of TechnologyBialystokPoland

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