A dissipative approach to the stability of multi-order fractional systems

[1]  J. Willems.  Dissipative dynamical systems Part II: Linear systems with quadratic supply rates , 1972 .

[2]  P. Moylan,et al.  Stability criteria for large-scale systems , 1978 .

[3]  K. Diethelm,et al.  Fractional Calculus: Models and Numerical Methods , 2012 .

[4]  Luigi Fortuna,et al.  Fractional Order Systems: Modeling and Control Applications , 2010 .

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

[6]  Mark W. Spong,et al.  Passivity-Based Control of Multi-Agent Systems , 2006 .

[7]  S. Sastry.  Nonlinear Systems: Analysis, Stability, and Control , 1999 .

[8]  Manuel A. Duarte-Mermoud,et al.  On fractional extensions of Barbalat Lemma , 2015, Syst. Control. Lett..

[9]  Panos J. Antsaklis,et al.  Design of Networked Control Systems Using Passivity , 2013, IEEE Transactions on Control Systems Technology.

[10]  P. Moylan,et al.  Connections between finite-gain and asymptotic stability , 1980 .

[11]  J. Willems.  Dissipative dynamical systems part I: General theory , 1972 .

[12]  I. Podlubny.  Fractional differential equations , 1998 .

[13]  Murat Arcak,et al.  Passivity as a Design Tool for Group Coordination , 2007, IEEE Transactions on Automatic Control.

[14]  Manuel A. Duarte-Mermoud,et al.  On the Lyapunov theory for fractional order systems , 2016, Appl. Math. Comput..

[15]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .

[16]  Panos J. Antsaklis,et al.  Large-Scale Dissipative and Passive Control Systems and the Role of Star and Cyclic Symmetries , 2016, IEEE Transactions on Automatic Control.

[17]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[18]  Kai Diethelm,et al.  A fractional calculus based model for the simulation of an outbreak of dengue fever , 2013 .

[19]  Manuel A. Duarte-Mermoud,et al.  Mixed order robust adaptive control for general linear time invariant systems , 2018, J. Frankl. Inst..

[20]  Ahmed Alsaedi,et al.  Maximum principle for certain generalized time and space fractional diffusion equations , 2015 .