3 papers
math.AP2018
Controllability and observability for non-autonomous evolution equations: the averaged Hautus test
Bernhard Haak, Duc-Trung Hoang, El-Maati Ouhabaz
We consider the observability problem for non-autonomous evolution systems (i.e., the operators governing the system depend on time). We introduce an averaged Hautus condition and…
math.AP2017
Exact observability of a 1D wave equation on a non-cylindrical domain
Bernhard Hermann Haak, Duc-Trung Hoang
We discuss admissibility and exact observability estimates of boundary observation and interior point observation of a one-dimensional wave equation on a time dependent domain for…
math.FA2017
The Hautus test for non-autonomous linear evolution equation
Duc-Trung Hoang
In this paper, we investigate the Hautus test for evolution equation with the operators depending on time.