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This paper studies the

In the past few years, the networked control systems (NCSs) whose control loops are connected via communication networks have received increasing attention due to their advantages, such as reduced cost, low weight, easier installation, and maintenance. Time delay and packet dropout are the two major causes of instability of system and deterioration of system performance. Therefore, the time delay and packet dropout problems have been investigated in the existing literature. In [

Considering the disturbance attenuation problem, there has been much research effort on

In [

In this paper, we investigate the

The structure of the NCS is shown in Figure

The structure of NCS.

The following assumptions are made for the considered NCS throughout the paper [

The controller is event-driven; both the sensor and the actuator are time-driven. The sampling period of the sensor is

Based on the above assumptions, the discrete-time state feedback

Consider

During each sampling period, several different cases may arise, which leads to the following discrete-time switched system model [

System (

System (

Define

For given positive scalars

Let the Lyapunov function

When

From (

From the Schur complement, we have that (

Similarly, we can see that

It can be seen that if (

When

From (

From the Schur complement, we have that (

Similarly, it is easy to see that

It can be seen that if (

It follows from (

Next, we prove the stochastically and exponentially stable system (

When

From (

Then, it can be seen from (

When

From (

Then, it can be seen from (

From (

From Lemma

The conditions in Theorem

Consider the following system [

Random mode

State trajectories of the NCS.

In this paper, by modeling the random delays and packet dropouts as a Markov chain, a new Markovian jump system model is presented to describe the networked control system with disturbance attenuation. The criteria for the system are stochastically and exponentially stable with an

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

This work is supported by Zhejiang Provincial Natural Science Foundation of China (Grant no. LY14G020014), Zhejiang Provincial Key Research Base of Humanistic and Social Sciences in Hangzhou Dianzi University (no. ZD01-201402), the Research Center of Information Technology & Economic and Social Development, and the National Natural Science Foundation of China (no. 71101040). Professor Chunfeng Liu and Kai Li give the authors some useful comments and suggestions on the language and the structure of the paper. The work is supported by Professor Chunfeng Liu and Kai Li.