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This paper studies the detectability of discrete-time stochastic linear systems with Markovian jump and multiplicative noises. An equivalent de nition of the weak detectability for discrete-time stochastic linear systems will be discussed. And we show that the weak detectability has invariance under the linear output feedback.

In order to improve the recognition rate of palm vein recognition algorithm, a recognition algorithm based on SIFT and ORB features extraction and score-level fusion is presented in this paper. Score-level fusion is an information fusion technique, which has six common combination rules. Two dynamic weight combination rules are proposed as a supplement here. The main steps of the proposed algorithm are: First, extract Region of interest (ROI) from the registered palm vein image and the to-be-matched palm vein image and process them with sharpen enhancement, and then extract SIFT features and ORB features and obtain matching scores respectively, finally utilize score-level fusion to compute the final score for decision. The experiments on the CASIA Palm Vein Image Database show that the algorithm attains the best recognition rate by utilizing the min-rule, and the equal error rate (EER) is 0.36%.

This paper studies the weighted average consensus problem for networks of agents with xed directed asymmetric unbalance information exchange topology. We suppose that the classical distributed consensus protocol is destroyed by diverse time-delays which include communication time-delay and self time-delay. Based on the generalized Nyquist stability criterion and the Gerschgorin disk theorem, some suf cient conditions for the consensus of multi-agent systems are obtained. And we give the expression of the weighted average consensus value for our consensus protocol. Finally, numerical examples are presented to illustrate the theoretical results.

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