Ii – Publication ( S ) during Your Fellowship

In this paper, the chaos multiscale-synchronization between two different Fractional-order Hyperchaotic System (FOHCS)s have been investigated. The Lü-like and its FOHCS are also studied. The Lü-like FOHCS is controlled to be multiscalesynchronization with Liu FOHCS and new Lorenz FOHCS, respectively. The analytical conditions for the multiscale-synchronization of these pairs of different FOHCSs are derived by utilizing Laplace transform. Furthermore, multiscale-synchronization between two different FOHCSs is achieved by utilizing the different linear and nonlinear feedback ABCDE Scientific Report 4/6 control method in a short period and both remain in chaotic states. Numerical simulations are used to verify the theoretical analysis using different values of the fractional-order parameter and the different linear and nonlinear control functions. [2]. L. Pan, L. Zhou and D. Li, ``Synchronization of Three-Scroll Unified Chaotic System (TSUCS) and its hyper-chaotic system using active pinning control,'' Nonlinear Dynamics, vol. 73, no. 3, 2013, pp. 2059-2071. Abstract: This paper studies the synchronization and anti-synchronization problem of the Three-Scroll Unified Chaotic System (TSUCS), which has nonlinear terms in each subsystem. By virtue of active control, a novel active pinning control strategy is presented, which only needs one or two states of the TSUCS. Under the proposed This paper studies the synchronization and anti-synchronization problem of the Three-Scroll Unified Chaotic System (TSUCS), which has nonlinear terms in each subsystem. By virtue of active control, a novel active pinning control strategy is presented, which only needs one or two states of the TSUCS. Under the proposed controller, the synchronization of two TSUCS with parametric uncertainty is achieved and therefore the robust stability of TSUCS synchronization is ensured. Some stability theories about synchronization and anti-synchronization have been given and proved the use of this class of a novel TSUCS and its hyper-unified chaotic system with the active pinning control strategy. Numerical simulations are given to verify the theoretical analysis, which clearly shows that the control strategy can really make the chaotic systems achieve synchronization and anti-synchronization in a quite short time. [3]. L. Pan, H. Voos, I. N'Doye and M. Darouach, ``Group Synchronization and Control of a New Class of Adaptive Complex Network with Brownian Motion and Time-varying Delay,'' The 13th European Control Conference (IEEE ECC 2014), June 24-27, 2014, Strasbourg, France. (Accepted, will publish in 2014). Abstract: In this paper, the Group Mean Square Synchronization (GMSS) of a new class of adaptive Complex Dynamical Network (CDN) with Limited Stochastic Perturbation (LSP) and interval Time-Varying Delays (TVD) is investigated. The zero-mean real scalar Brownian Motion (BM) with LSP is also discussed. In this CDN, the weight configuration matrices are considered in two cases: TVD and Non-Time-Varying Delay (NTVD). The outer-coupling matrices are also assumed to be two cases: symmetric and dissymmetric. Based on the control theory and stochastic analysis such as: adaptive In this paper, the Group Mean Square Synchronization (GMSS) of a new class of adaptive Complex Dynamical Network (CDN) with Limited Stochastic Perturbation (LSP) and interval Time-Varying Delays (TVD) is investigated. The zero-mean real scalar Brownian Motion (BM) with LSP is also discussed. In this CDN, the weight configuration matrices are considered in two cases: TVD and Non-Time-Varying Delay (NTVD). The outer-coupling matrices are also assumed to be two cases: symmetric and dissymmetric. Based on the control theory and stochastic analysis such as: adaptive control method, Itô formula, Lyapunov Stability Theory (LST) and Kronecker product rules, the controllers and adaptive schemes are constructed which let all nodes reach the GMSS asymptotically in the CDN. Finally, some examples of several complex chaotic systems are presented to demonstrate the proposed theoretical analysis. [4]. L. Pan, H. Voos, I. N'Doye and M. Darouach, ``Uncertainty Quantification of Group Synchronization and Control of a New Class of Adaptive Complex Dynamical Network with Brownian Motion and Time-varying Delay,'' The 33rd Chinese Control Conference (IEEE CCC 2014), July 28-30, 2014, Nanjing, China. (Accepted, will publish in 2014). Abstract: This paper investigates the Uncertainty Quantification (UQ) of Group Mean Square Synchronization (GMSS) for a new class of Complex Dynamical Network (CDN) with interval Time-varying Delays (TVD) and Limited Stochastic Perturbation (LSP). Based on the control theory and Stochastic Collocation (SC) method, we have studied the robustness of the control algorithm with respect to the value of the final time. To that end, we assumed a normal distribution for time and used the SC method with different values of nodes n collocation points Ti to quantify the sensitivity. These results show that the This paper investigates the Uncertainty Quantification (UQ) of Group Mean Square Synchronization (GMSS) for a new class of Complex Dynamical Network (CDN) with interval Time-varying Delays (TVD) and Limited Stochastic Perturbation (LSP). Based on the control theory and Stochastic Collocation (SC) method, we have studied the robustness of the control algorithm with respect to the value of the final time. To that end, we assumed a normal distribution for time and used the SC method with different values of nodes n collocation points Ti to quantify the sensitivity. These results show that the ABCDE Scientific Report 5/6 synchronization errors are close to zero with a high probability and confirm for different number of nodes. Finally, some examples with different structure chaotic systems and their numerical simulation results are presented to demonstrate the theoretical analysis. Therefore, the conclusion of this study is that the accuracy of the synchronization and control algorithm is robust to variations of time. [5]. L. Pan, H. Voos, I. N'Doye and M. Darouach, ``Exponential Synchronization for a New Class of Complex Dynamical Network with Periodically Intermittent Pinning Control and Hybrid Time-varying Delay,'' The 2014 IEEE Multi-Conference on Systems and Control (IEEE MSC 2014), 8-10 October, 2014, Antibes/Nice, France. (Submitted, under review). Abstract: In this paper, the Exponential Synchronization (ES) problem for a new class of Complex Dynamical Networks (CDN) with hybrid Time-Varying Delay (TVD) and NonTime-Varying Delay (NTVD) nodes is investigated by using coupling Periodically Intermittent Pinning Control (PIPC). Based on the Lyapunov Stability Theory (LST), Kronecker product rules and PIPC method, sufficient conditions for ES and PIPC criteria of such CDN are derived. The obtained results are effective and less conservative. Furthermore, to verify the effectiveness of the proposed theoretical results, Barab\'{a}siAlbert Network (BAN) and Nearest-Neighbor Network (NNN) consisting of coupled non-delayed and delay Lee oscillators are finally given as the examples. In this paper, the Exponential Synchronization (ES) problem for a new class of Complex Dynamical Networks (CDN) with hybrid Time-Varying Delay (TVD) and NonTime-Varying Delay (NTVD) nodes is investigated by using coupling Periodically Intermittent Pinning Control (PIPC). Based on the Lyapunov Stability Theory (LST), Kronecker product rules and PIPC method, sufficient conditions for ES and PIPC criteria of such CDN are derived. The obtained results are effective and less conservative. Furthermore, to verify the effectiveness of the proposed theoretical results, Barab\'{a}siAlbert Network (BAN) and Nearest-Neighbor Network (NNN) consisting of coupled non-delayed and delay Lee oscillators are finally given as the examples. III – ATTENDED SEMINARS, WORKHOPS,