MATLAB LMI Codes for Secure Asynchronous Impulsive Control

This repository provides the MATLAB LMI codes used to verify the feasibility conditions reported in the simulation examples of the manuscript entitled:

Secure Asynchronous Impulsive Control of Nonlinear Multi-agent Systems under Deception Attacks

Requirements

• MATLAB
• MATLAB LMI Toolbox

Files

• Example1_Case1_c0439_LMI.m
  LMI feasibility test for Case 1 of Example 1 with c = 0.439.

• Example1_Case1_c0990_LMI.m
  LMI feasibility test for Case 1 of Example 1 with c = 0.990.

• Example1_Case2_c0680_LMI.m
  LMI feasibility test for Case 2 of Example 1 with c = 0.680.

• Example2_LMI.m
  LMI feasibility test for Example 2 with c = 0.3.

Usage

1. Install MATLAB with the MATLAB LMI Toolbox.
2. Download or clone this repository.
3. Open MATLAB and set the current folder to the directory containing the .m files.
4. Run the file corresponding to the desired simulation case.

Each file formulates the corresponding LMI conditions, checks their feasibility, and extracts the decision matrices P_j and Q_j.

Reproducibility

The parameter settings are consistent with those reported in the manuscript. In Example2_LMI.m, a fixed random seed is used to reproduce the impulse index sequence adopted in Example 2.