On the Stability of Some Discrete Fractional Nonautonomous Systems
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Yes
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Abstract
Using the Lyapunov direct method, the stability of discrete nonautonomous systems within the frame of the Caputo fractional difference is studied. The conditions for uniform stability, uniform asymptotic stability, and uniform global stability are discussed.
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Keywords
Robust Stability, Economics, Fractional Order Control, Control (management), Exponential stability, Mathematical analysis, Quantum mechanics, Engineering, Numerical Integration Methods for Differential Equations, Machine learning, QA1-939, FOS: Mathematics, Control theory (sociology), Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Analysis and Design of Fractional Order Control Systems, Numerical Analysis, Lyapunov function, Physics, Applied mathematics, Computer science, Management, Lyapunov Functions, Stability Analysis, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Nonlinear system, Mathematics, stability of discrete nonautonomous systems, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stabilization of systems by feedback, Lyapunov direct method
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Jarad, F...et al. (2012). On the stability of some discrete fractional nonautonomous systems.Abstract and Applied Analysis. http://dx.doi.org/10.1016/10.1155/2012/476581
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34
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2012
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CrossRef : 33
Scopus : 63
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