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In order to save network resources and network bandwidth, this paper proposed an event triggered mechanism based on sampled-data information, which has some advantages over existing ones. Considering the missing sensor measurements and the network-induced delay in the transmission, we construct a new event-based

The application of network technologies is becoming increasingly important in many areas for its predominant advantages (such as low cost, simple installation and maintenance, and high reliability). However, it is known that implementing a communication network can induce multiple channel transmission, packet dropout, and so on. This has motivated much attention to the research. Various techniques have been proposed to deal with the above issues, such as time triggered communication scheme [

On the other hand, the filtering problem has been a hot topic over the past decades. A large number of outstanding results have been published [

To the best of our knowledge, the filter design of event triggering network-based systems with random sensor failures is still an open problem, which motivates our present paper. The main contributions of the obtained results are as follows: (I) the insertion of the event triggering generator saves the network resources and network bandwidth. (II) A new kind of event triggering network-based systems with probabilistic sensor failures and network induced delay, which has not been investigated in the existing literatures, is proposed.

This paper is outlined as follows. Section

As shown in Figure

The structure of an event triggered filter design system.

Considering the network induced delay, the transmission time of measured output

For the network-based system in described in Figure

If we take the missing sensor measurements into consideration, (

When

In order to reduce the load of network transmission and save the network resources such as network bandwidth, it is necessary to introduce an event triggered mechanism. As is shown in Figure

Under the event triggering (

Based on the above analysis, considering the behavior of ZOH, the input of the filter is

Similar to [

When

When

From

Moreover,

Define

In Case

It can be deduced from the definition of

From (

Employing

Combining (

Define

The event triggering scheme (

Before giving the main results in the next section, the following lemmas will be introduced, which will be helpful in deriving the main results.

For any vectors

In this section, we will invest a new approach to guarantee the filter error system (

For given scalars

Set

Calculating the difference of

Then by employing free weight matrix method [

By Lemma

Combine (

Based on Theorem

For given parameters

Since

Define

Now premultiply and postmultiply Equation (

Similar to the analysis of [

Consider a specific network controlled system of Equation (

According to Theorem

Suppose the initial condition

Based on the designed filter above, the response of the error

The response of the error

The probabilistic failure

The release instants and release interval.

This paper investigates a

We would like to point out that it is possible to extend our main results to the nonlinear systems such as T-S fuzzy systems, and complex network systems. This will also be one of our future research issues.

The authors declare that there is no conflict of interests regarding the publication of this paper.

This work is partly supported by the National Natural Science Foundation of China (no. 11226240 and no. 61273115), National Center for International Joint Research on E-Business Information Processing under Grant no. 2013B01035, the Natural Science Foundation of Jiangsu Province of China (nos. BK2012469, BK2012211, and BK2012847), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (no. 12KJD120001 and no. 13KJB110010), and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).