External stability of Caputo fractional-order nonlinear control systems: advances in the Lyapunov function method

[1]  L. Chua,et al.  The double scroll family , 1986 .

[2]  Alain Oustaloup,et al.  Fractional Order Differentiation and Robust Control Design , 2015 .

[3]  Manuel A. Duarte-Mermoud,et al.  A dissipative approach to the stability of multi-order fractional systems , 2018, IMA J. Math. Control. Inf..

[4]  K. Diethelm,et al.  The Fracpece Subroutine for the Numerical Solution of Differential Equations of Fractional Order , 2002 .

[5]  Alain Oustaloup,et al.  A Lyapunov approach to the stability of fractional differential equations , 2009, Signal Process..

[6]  K. Diethelm The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type , 2010 .

[7]  D. Matignon,et al.  Diffusive Realisations of Fractional Integrodifferential Operators: Structural Analysis Under Approximation , 1998 .

[8]  Alain Oustaloup,et al.  Analytical computation of the H2-norm of fractional commensurate transfer functions , 2011, Autom..

[9]  A. Isidori,et al.  Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems , 1992 .

[10]  Leon O. Chua,et al.  The double scroll , 1985 .

[11]  Arjan van der Schaft,et al.  Non-linear dynamical control systems , 1990 .

[12]  Rachid Malti,et al.  A note on ℒpℒp-norms of fractional systems , 2013, Autom..

[13]  J. Helton,et al.  H∞ control for nonlinear systems with output feedback , 1993, IEEE Trans. Autom. Control..

[14]  A. Schaft L2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences 218 , 1996 .

[15]  Alberto Isidori,et al.  Nonlinear Control Systems, Second Edition , 1989, Communications and Control Engineering.

[16]  Mohammad Saleh Tavazoei,et al.  A necessary condition for double scroll attractor existence in fractional-order systems , 2007 .

[17]  A. Schaft L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control , 1992 .

[18]  Tamer Başar,et al.  H1-Optimal Control and Related Minimax Design Problems , 1995 .