Master–slave synchronization of a class of fractional-order Takagi–Sugeno fuzzy neural networks by Bei Zhang, Jinsen Zhuang, Haidong Liu, Jinde Cao, Yonghui Xia

“…By employing a linear matrix inequality and constructing a skillful Lyapunov function, sufficient conditions are derived to guarantee that the master system synchronizes the slave system. Finally, an example and its simulations are presented to demonstrate the feasibility of the synchronization scheme.…”
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Usage of SPI interface in applications with MEMS components by Babiuch Marek, Škuta Jaromír

“…The application is designed for communication testing with master system. Testing application uses communication of microcontroller and digital gyroscopes and cooperates with LCD touch screen through USB bus. …”
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Coexistence of synchronization and anti-synchronization in chaotic systems by Ren Ling, Guo Rongwei, Vincent Uchechukwu E.

“…A novel algorithm is proposed to determine the variables of the master system that should anti-synchronize with corresponding variables of the slave system. …”
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PECULIARITIES OF PREPARATION OF FUTURE SOFTWARE ENGINEER FOR PEDAGOGICAL ACTIVITY by V. Sedov

“…The attention is brought to the existence of certain contradictions in the system for masters training in information technologies and the need to attract highly qualified specialists- practitioners in condutcing the classes in Master System, the need for flexibility in the learning process.…”
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Circuit realization, chaos synchronization and estimation of parameters of a hyperchaotic system with unknown parameters by A. Elsonbaty, A. Elsaid, H.M. Nour

“…We consider the more realistic and practical case where all the parameters of the master system are unknowns. We propose and implement an electronic circuit that performs the estimation of the unknown parameters and the updating of the parameters of the slave system automatically, and hence it achieves the synchronization. …”
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Complete Synchronization of Strictly Different Chaotic Systems by Gualberto Solís-Perales

“…Complete synchronization is achieved when all the states in the slave system are synchronous with the corresponding state in the master system. We illustrate that using a single input and single output control scheme, the synchronization of a class of strictly different systems is obtained in partial form. …”
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Sampled-Data Synchronization Control for Chaotic Neural Networks With Mixed Delays: A Discontinuous Lyapunov Functional Approach by Quan Hai

“…Based on the ADLKF and modified free-matrix-based integral inequality, novel less conservative synchronization criteria are developed to guarantee that the slave system is synchronous with the master system. Furthermore, the derived results are given in terms of simplified linear matrix inequalities (LMIs), which can be straightforwardly solved by Matlab. …”
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Synchronise Control of Chua Circuits by Nur Aziela Zailan, Ainain Nur Hanafi, Azrita Alias, Aznilinda Zainuddin

“…The output results showed the slave system follows the master system’s behaviour with zero synchronisation error.…”
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Coexistence of some chaos synchronization types in fractional-order differential equations by Adel Ouannas, Salem Abdelmalek, Samir Bendoukha

“…In particular, the paper shows that complete synchronization (CS), anti-synchronization (AS) and inverse full state hybrid function projective synchronization (IFSHFPS) coexist when synchronizing a three-dimensional master system with a four-dimensional slave system. …”
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Optimal Exponential Synchronization of Chaotic Systems with Multiple Time Delays via Fuzzy Control by Feng-Hsiag Hsiao

“…Based on this LDI state-space representation, this study proposes a delay-dependent exponential stability criterion of the error system derived in terms of Lyapunov’s direct method to ensure that the trajectories of the slave system can approach those of the master system. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). …”
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New Results on Finite-Time Synchronization of Complex-Valued BAM Neural Networks with Time Delays by the Quadratic Analysis Approach by Zhen Yang, Zhengqiu Zhang

“…Without applying Lyapunov–Krasovskii functional theory, finite-time convergence theorem, graph-theoretic method, the theory of complex functions or the integral inequality method, by using the quadratic analysis approach, inequality techniques and designing two classes of novel controllers, two novel sufficient conditions are achieved to guarantee finite-time synchronization between the master system and the slave system. The quadratic analysis method used in our paper is a different study approach of finite-time synchronization from those in existing papers. …”
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Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control by Baogui Xin, Tong Chen

“…It is shown that the slave system can be projectively synchronized with the master system constructed by state transformation. Based on the stability theory of linear fractional order systems, a suitable controller for achieving synchronization is designed. …”
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Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control by Huihai Wang, Shaobo He, Kehui Sun

“…The system can track different signals including chaotic signals from the fractional-order master system and constant signals. It lays a foundation for the application of the fractional-order Rössler system.…”
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Kontinuierliches Lernen - Interventionen in der ingenieurwissenschaftlichen Lehre by Kristina Schulz, Heidi Krömker

“… Die Entwicklungen, die das Bachelor-/Master-System in Deutschland mit sich ge­bracht haben, führten wegen der hohen Arbeitsbelastung im Studium zu Protesten der Studierenden.Vor diesem Hintergrund hat sich die Technische Universität Ilmenau zum Ziel gesetzt, im Rahmen des vom BMBF geförderten Verbundsprojekts ZEITLast die Studierbarkeit von drei ingenieur- wissenschaftlichen Bachelor-Studiengängen zu untersuchen. …”
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Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference by Huanhuan Mai, Weiwei Zhang, Yapeng Zhao

“…This method uses the properties of the triangular function and increases the number of dimensions in the slave system to match the phase of forcing term in the master system. Numerical simulations show that the flexible control variable we first investigated is very important. …”
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A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems by Adel Ouannas, Raghib Abu-Saris

“…Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to guarantee the Q-S synchronization between n-dimensional integer-order master system and m-dimensional fractional-order slave system. …”
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Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control by Sundarapandian VAIDYANATHAN, Karthikeyan RAJAGOPAL

“…In adaptive anti-synchronization of non-identical chaoticsystems, the parameters of the master system are known, but the parameters of the slave system areunknown and accordingly, the feedback control law has been derived using the estimates of theparameters of the slave system. …”
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A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems by Jiming Zheng, Xiaoshuang Li, Yang Qiu

“…Second, a novel algorithm is proposed to determine the variables of the master system that should antisynchronize with corresponding variables of the slave system and use this algorithm to determine the corresponding variables in the chaotic financial systems. …”
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A Novel Information Fusion Method for Redundant Rotational Inertial Navigation Systems Based on Reduced-Order Kalman Filter by Wang Lin, Wu Wenqi, Wei Guo, Li Jinlong, Yu Ruihang

“…A reduced-order Kalman filter is designed to fuse the navigation information output of redundant rotational navigation systems which usually include a dual-axis rotational inertial navigation system being master system and a single-axis rotational inertial navigation system being hot-backup system. …”
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Chaos Controllability in Non-Identical Complex Fractional Order Chaotic Systems via Active Complex Synchronization Technique by Mohammad Sajid, Harindri Chaudhary, Santosh Kaushik

“…In the HCPS scheme, by using a complex scale matrix, the system taken as slave system is asymptotically synchronized with another system taken as the master system. By utilizing a complex scale matrix, the unpredictability and security of communication are increased along with image encryption. …”
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