Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems

•New Lemmas relating the Caputo Fractional Derivatives of general quadratic forms and the trace of the product of matrices.•Possibility to use general quadratics Lyapunov functions in the fractional-order extension of Lyapunov direct method.•Uniform stability for fractional systems using Lyapunov fu...

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Veröffentlicht in:	Communications in nonlinear science & numerical simulation 2015-05, Vol.22 (1-3), p.650-659
Hauptverfasser:	Duarte-Mermoud, Manuel A., Aguila-Camacho, Norelys, Gallegos, Javier A., Castro-Linares, Rafael
Format:	Artikel
Sprache:	eng
Schlagworte:	Complement Computer simulation Derivatives Fractional adaptive systems Fractional calculus Fractional extension of Lyapunov direct method General quadratic Lyapunov functions Lyapunov functions Model reference adaptive control Nonlinearity Quadratic forms Stability Theorems Uniform stability of fractional order systems
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