Converse negative imaginary theorems

no code implementations • 3 Jun 2023 • Sei Zhen Khong, Di Zhao, Alexander Lanzon

We also establish a non-existence result that no stable system can robustly stabilise all marginally stable NI uncertainty, thereby showing that the uncertainty class of NI systems is too large as far as robust feedback stability is concerned, thus justifying the consideration of subclasses of NI systems with constrained static or instantaneous gains.

Feedback Stability Analysis via Dissipativity with Dynamic Supply Rates

no code implementations • 17 Sep 2022 • Sei Zhen Khong, Chao Chen, Alexander Lanzon

This extends classical dissipativity with static supply rates and dynamic supply rates of miscellaneous quadratic forms.

Miscellaneous