[PDF] Top 20 Synchronization of fractional chaotic systems based on a simple Lyapunov function

... known, synchronization control of chaos is very important but also very difficult for the chaotic ...trol fractional-order chaotic systems [, –], such as backstepping controller ... See full document

... the Lyapunov direct method. Due to the difference between fractional-order differential systems and integer-order differential ones, it is very difficult and inconvenient to construct Lyapunov ... See full document

... biological systems [19, 20]. Reaction–diffusion systems can describe a wide class of rhythmic spatiotemporal patterns observed in chemical and biological sys- tems, such as circulating pulses on a ring, ... See full document

... the fractional version of Lyapunov stability theory, a fractional sliding surface is ...projective synchronization of fractional-order multiple chaotic systems with ... See full document

... a function matrix (t) and a constant matrix W which is not equal to the identity matrix, a kind of W – (t) synchronization between fractional-order and integer-order chaotic ... See full document

... Isochronal function projective synchronization between chaotic and time-delayed chaotic systems with unknown parameters is investigated in this ...article. Based on ... See full document

... discrete-time fractional system is its stability ...discrete fractional systems is an important subject since it brings us a step closer to establishing the existence of chaos and serves as a basis ... See full document

... validate synchronization of N-coupled fractional- order chaotic systems with ring connection by utilizing the bidirectional ...the fractional-order error dynamical system into a ... See full document

... the synchronization error of the system converges to a small enough region of the origin by making use of quadratic Lyapunov functions in the stability analysis, and the boundedness of all signals in the ... See full document

... novel chaotic secure communication scheme based on GFPS and parameter modulation is ...the Lyapunov stability theory, the controllers and corre- sponding parameter update rule are devised to make the ... See full document

... the synchronization control problem of a class of fractional-order chaotic financial systems with uncertain ...parameters. Based on the theory of fractional order stability and ... See full document

... and synchronization are two important ways to utilize chaos in ...The synchronization of chaotic fractional-order system has attracted great attention due to its potential application in ... See full document

... years, fractional calculus has been noticed for having superior characteris- tics over conventional calculus in the modeling dynamics of natural phenomena ...in fractional calculus has been focused on ... See full document

... impulsive synchronization of delay fractional-order chaotic ...impulsive synchronization for a class of fractional-order chaotic systems with an unknown Lipschitz constant ... See full document

... networks. Synchronization, as a collective dynamical behavior, is an impor- tant and interesting direction of complex ...decades, synchronization of complex networks has extensively attracted increasing ... See full document

... Control systems for Sharif of Technology, Tehran, Iran, in 2004 and ...Control Systems, Based Predictive Control Systems, Stochastic Control Systems, Hybrid ... See full document

... Chaotic synchronization recently gained more concern as area of research in secure ...Some chaotic synchronizing and relevant factors are discussed here Feki ...using synchronization between ... See full document

... response systems are (0) = −2, (0) = 1, (0) = −3 and (0) = 1, (0) = −1, (0) = 1 ...fuzzy chaotic systems shown in Figure ...the synchronization new fuzzy chaotic systems shown in ... See full document

... of fractional-order chaotic systems has received interest of many ...the synchronization of a new fractional- order hyperchaotic system via active control [21], Wang, Yu and Diao in ... See full document

... the chaotic systems are sensitive to initial condition and parameters, the tiny error between two chaotic systems will increase with ...two chaotic systems is increased with ... See full document