Rapid dynamical pattern recognition for sampling sequences

Authors：Wu, Weiming; Wang, Qian; Yuan, Chengzhi; Wang, Cong^*

Source：Science China Information Sciences, 2021, 64(3): 132201.

DOI：10.1007/s11432-019-2878-y

• deterministic learning
• dynamical pattern recognition
• sampling sequence
• synchronization

In this paper, based on deterministic learning, we propose a method for rapid recognition of dynamical patterns consisting of sampling sequences. First, for the sequences yielded by sampling a periodic or recurrent trajectory (a dynamical pattern) generated from a nonlinear dynamical system, a sampled-data deterministic learning algorithm is employed for modeling/identification of inherent system dynamics. Second, a definition is formulated to characterize similarities between sampling sequences (dynamical patterns) based on differences in the system dynamics. Third, by constructing a set of discrete-time dynamical estimators based on the learned knowledge, similarities between the test and training patterns are measured by using the average L-1 norms of synchronization errors, and general conditions for accurate and rapid recognition of dynamical patterns are given in a sampled-data framework. Finally, numerical examples are discussed to illustrate the effectiveness of the proposed method. We demonstrate that not only a test pattern can be rapidly recognized corresponding to a similar training pattern, but also the proposed recognition conditions can be verified step by step based on historical sampling data. This makes a distinction compared with the previous work on rapid dynamical pattern recognition for continuous-time nonlinear systems, in which the recognition conditions are difficult to be verified by using continuous-time signals.

• Institution
  山东大学