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2. Finite-time synchronization of chaotic systems with noise perturbation
- Creator:
- Wu, Jie, Ma, Zhi-cai, Sun, Yong-zheng, and Liu, Feng
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- synchronization, finite-time, noise perturbation, and adaptive feedback controller
- Language:
- English
- Description:
- In this paper, we investigate the finite-time stochastic synchronization problem of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility of the theoretical results.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
3. Finite-time topological identification of complex network with time delay and stochastic disturbance
- Creator:
- Qian, Yufeng
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- time delay, finite-time, topology identification, and stochastic perturbations
- Language:
- English
- Description:
- The topology identification issue of complex stochastic network with delay and stochastic disturbance is mainly introduced in this paper. It is known the time delay and stochastic disturbance are ubiquitous in real network, and they will impair the identification of network topology, and the topology capable of identifying the network within specific time is desired on the other hand. Based on these discussions, the finite-time identification method is proposed to solve similar issues problems. The validity of theoretical results is proved with the stochastic dynamical system stability theory and finite-time stability theory. Finally, a simple numerical simulation is proposed to verify the feasibility of the method.
- Rights:
- http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public