Sergiy Zhuk, Jason Frank, et al.
SIAM Journal on Scientific Computing
In this note we construct minimax observers for linear stationary Differential-Algebraic Equations (DAE)s with bounded uncertain inputs, given noisy measurements. We prove a new duality principle and show that a finite (infinite) horizon minimax observer exists if and only if the DAE is ℓ-impulse observable (ℓ-detectable). Remarkably, the regularity of the DAE is not required.
Sergiy Zhuk, Jason Frank, et al.
SIAM Journal on Scientific Computing
Stephen Moore, Kerry Halupka, et al.
CinC 2018
Sergiy Zhuk, Olexander Nakonechnyi
Minimax Theory and its Applications
Jonathan P. Epperlein, Sergiy Zhuk, et al.
Automatica