LMIs in Control/Discrete-Time Systems/Discrete-Time Lyapunov Stability

Discrete-Time Lyapunov Stability


The System edit

Discrete-Time System

 

The Data edit

The matrices  .

The Optimization Problem edit

The following feasibility problem should be solved:

Find P obeying the LMI constraints.

The LMI: edit

Discrete-Time Lyapunov Stability

The LMI formulation

 

Conclusion: edit

If there exists a   satisfying the LMI then,   and the equilibrium point   of the system is Lyapunov stable.

Implementation edit

  • [] - MATLAB implementation of the LMI.

Related LMIs edit

Continuous_Time_Lyapunov_Inequality - Lyapunov_Inequality

External Links edit

A list of references documenting and validating the LMI.


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