Gene

Positive-definite matrix

Quantum mechanics

Algorithm

Control (management)

Mathematical physics

Robustness (evolution)

Positive definiteness

Eigenvalues and eigenvectors

Biochemistry

Computer science

Physics

Trajectory

Mathematics

Astronomy

Image (mathematics)

Invariant (physics)

Artificial intelligence

Chemistry

Control theory (sociology)

Noise (video)

IEEE Control Systems Letters

Due to their relevance in controller design and robustness analysis, we present a novel framework to find and verify dissipativity properties for discrete-time linear time-invariant systems from only one input-output trajectory. Introducing a new data-driven formulation for dissipativity, we obtain necessary and sufficient conditions for dissipativity based only on a definiteness condition on a single data-dependent matrix. Furthermore, we provide a promising relaxation in the case of measurement noise, which, as illustrated in numerous numerical examples, works remarkably well.

One-Shot Verification of Dissipativity Properties From Input–Output Data