^{1, 2}

^{3}

^{2}

^{1}

^{2}

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This paper is devoted to the problem of asynchronous

Two-dimensional (2D) systems have recently received considerable attention from scientific communities for their potential applications in various areas, such as image data processing and transmission, multidimensional digital filtering, and process control [

As is well known, Markovian jump linear systems, which were first introduced in [

In particular, the filter design for Markovian jump systems has also been extensively investigated [

Moreover, sensor nonlinearities arise frequently under harsh filtering environments including both uncontrollable elements and aggressive conditions. It is worth pointing out that filtering techniques concerning the sensor nonlinearities usually provide a relatively reliable solution. State estimation related to Markov jump systems with sensor nonlinearities has been developed in terms of many sorts of methods [

Therefore, in this paper, we will handle the problem of asynchronous

Consider the 2D Markovian jump system with sensor nonlinearity in the Roesser model:

It is worth stressing that, different from the homogeneous Markov chain concerned in the recently developed techniques for asynchronous filter design [

The function

It can be found that when

For the asynchronous phenomenon considered, we are interested in estimating the objective signal

In view of (

Interestingly, the jumping process

The following definitions for the error system in (

System (

Given a scalar

Then, the estimation problem of interest is stated as follows: given

This section provides a procedure for designing the asynchronous

Consider system (

First, we handle the stochastic stability of system (

Next, to establish the

In Theorem

The developments above lead to the asynchronous filtering result in the next theorem.

The system in (

First, consider the system in (

According to Theorem

In this section, an example is presented to demonstrate the merits of the proposed approach. Consider a 2D Markovian jump system with two operation modes and the parameters as follows:

By applying the filter design method in Theorem

Given paths of

Paths of

Filtering error response

This paper has addressed the problem of asynchronous

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

This work was supported in part by the Innovative Team Program of the National Natural Science Foundation of China (61321062), by the Specialized Research Fund for the Doctoral Program of Higher Education (20122302120069), by the Natural Science Foundation of Heilongjiang Province (QC2010064), by the Basic Research Plan in Shenzhen City (JCYJ20120613135212389), and by the Fundamental Research Funds for the Central Universities (HIT.NSRIF.2011129).