Active sliding observer scheme based fractional chaos synchronization

Active Controller Design for the Hybrid Synchronization of Hyperchaotic Xu and Hyperchaotic Li Systems

“…Note that there are two positive Lyapunov exponents in (13). This shows that the 4-D Li system (11) is hyperchaotic for the parametric values (12).…”

“…Some important methods can be cited as Ott-Grebogi-Yorke method [8], Pecora-Carroll method [9], backstepping method [10][11][12], sliding control method [13][14][15], active control method [16][17][18], adaptive control method [19][20], sampled-data control method [21], delayed feedback method [22], etc.…”

Sliding observer for synchronization of fractional order chaotic systems with mismatched parameter

“…About three hundred years passed before what is now known as fractional calculus was slowly accepted as a practical instrument in physics [28]. For some recent publications in the realm of fractional calculus with application in observer design, one could name [39,40]. The Riemann-Liouville definition of the αth-order fractional derivative operator 0 D α , (i.e.…”

Adaptive Controller Design for the Anti-Synchronization of Hyperchaotic Yang and Hyperchaotic Pang Systems

“…The problems of synchronization and anti-synchronization of chaotic and hyperchaotic systems have been studied via several methods like active control method [10][11][12], adaptive control method [13][14][15],backstepping method [16][17][18][19], sliding control method [20][21][22] etc. This paper derives new results for the adaptive controller design for the anti-synchronization of hyperchaotic Yang systems ( [23], 2009) and hyperchaotic Pang systems ( [24], 2008) with unknown parameters.…”