Affiliation:
1. Faculty of Electrical Engineering, Białystok University of Technology, Wiejska 45D, 15-351Białystok, Poland
Abstract
AbstractThe positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems are addressed. Necessary and sufficient conditions for the positivity of descriptor linear and sufficient conditions for nonlinear systems are established. Using an extension of Lyapunov method sufficient conditions for the stability of positive nonlinear systems are given. The considerations are extended to fractional nonlinear systems.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Reference64 articles.
1. Positive linear systems with different fractional orders;Bull. Pol. Acad. Sci. Techn.,2010
2. Stability analysis of a class of nonlinear fractional-order systems;IEEE Trans. Circuits and Systems-II, Express Briefs,2008
3. Descriptor fractional discrete-time linear system and its solution – Comparison of three different methods;Challenges Automation, Robotics Meas. Techniques, Adv. Intell. Syst. Comput.,2016
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