Data-driven Dissipativity Analysis of Perturbed Linear Time-invariant Systems

In this article, we consider the data-driven dissipativity analysis of perturbed linear time-invariant (LTI) systems. Both cases are considered when input-state trajectories and input-output trajectories are available, and the dissipative conditions are provided respectively. Compared with existing studies under the assumption of additive noise, we consider the case where system matrices contain some uncertainty, and we also derive a detailed discussion of the constructed input-output-equivalent system. A numerical simulation is provided to verify the effectiveness of theoretical result.