Applications of Direct Lyapunov Method in Caputo Non-Integer Order Systems
Keywords:Command and control systems, stability, stability criteria, Lyapunov methods, fractional calculus.
Paper presents certain properties of Lyapunov direct method for non-integer order systems. Mittag-Leffler stability is defined and its relationship with Lyapunov stability is investigated. General results for Lyapunov functions are presented and a new result allowing constructive stability analysis is proved. Results are illustrated with the examples of stability analysis for problem of cooling, chemical reaction evolution and parametric stability analysis.
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