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Frontiers of Information Technology & Electronic Engineering >> 2021, Volume 22, Issue 1 doi: 10.1631/FITEE.2000105

Derivation of the multi-model generalized labeled multi-Bernoulli filter: a solution to multi-target hybrid systems

空军预警学院预警情报系,中国武汉市,430019

Received: 2020-03-11 Accepted: 2021-01-11 Available online: 2021-01-11

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Abstract

In this study, we extend traditional (single-target) hybrid systems to with a focus on the system. This system consists of a continuous state, a discrete and switchable state, and a discrete, time-constant, and unique state. By defining a new generalized labeled multi-Bernoulli density, we prove that it is closed under the Chapman-Kolmogorov prediction and Bayes update for . In other words, we provide the exact derivation of a solution to this system, i.e., the , which has been developed without strict proof.

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