Yeong-Jeu Sun

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In this study, exponential finite-time synchronization for generalized Lorenz chaotic systems is investigated. The significant contribution of this paper is that master-slave synchronization is achieved within a pre-specified convergence time and with a simple linear control. The designed linear control consists of two parts: one achieves exponential(More)
This study investigates H∞ finite-time synchronization (HFTS) problems for a general class of chaotic systems with external disturbances. The HFTS includes two control objectives; one is the finite-time synchronization and the other is the H∞ minimization. Here, the finite-time synchronization means the finite-time stabilization of the error system between(More)
Important variants and complements to the original Lyapunov and Lagrange stability concepts are corresponding notions concerning partial stability. For a given motion of a dynamical system, say x(t, x0, t0) = (y(t, x0, t0), z(t, x0, t0)), partial stability concerns the qualitative behavior of the y-component of the motion, relative to disturbances in the(More)
In this study, the concept of global exponential ε-stabilization is introduced and the robust stabilization for a class of nonlinear systems with single input is investigated. Based on Lyapunov-like Theorem with differential and integral inequalities, a feedback control is proposed to realize the global stabilization of such nonlinear systems with any(More)
The concept of the exponentially stable limit cycle (ESLC) is introduced, and the ESLC phenomenon for a class of nonlinear systems is explored. Based on time-domain approach with differential inequality, the existence and uniqueness of the ESLC for such nonlinear systems can be guaranteed. Besides, the period of oscillation, the amplitude of oscillation,(More)
and Applied Analysis 3 Master system is as follows: ẋ1 t ( 10 25 29 a ) · x2 t − x1 t , 2.1a ẋ2 t ( 28 − 35 29 a ) x1 t a − 1 x2 t − x1 t x3 t , 2.1b ẋ3 t ( − 3 − 1 87 a ) x3 t x1 t x2 t , 2.1c x1 0 x2 0 x3 0 T Δx10 Δx20 Δx30 T , 2.1d slave system is as follows: ż1 t ( 10 25 29 a ) · z2 t − z1 t Δφ1 u1 , 2.2a ż2 t ( 28 − 35 29 a ) z1 t k − 1 z2 t − z1 t z3(More)