Visiting Speaker
Dominik Kahl
PhD Student,
Structural Invertibility and Optimal Sensor Node Placement for Error and Input Reconstruction in Dynamic Systems
Monday
Aug 26, 2019
Watch video
11:00 am
177 Huntington Ave
11th floor

A fundamental goal of science and engineering is to understand, predict or control complex dynamic systems, be

they spreading infectious diseases, ecological networks, biochemical reactions, vehicles ore pace makers. ODE

systems are routinely used for that purpose. However, our knowledge about most real world systems is limited

and the system might be perturbed by external influences beyond our control. Reconstructing such unknown

inputs from measurements is an important goal in order to observe the state of the system and to predict its future

behaviour or to diagnose errors or attacks.

If the inputs can be reconstructed from measurements, we call such a system invertible. We present, how

invertibility is related to the intrinsic network structure of the system. We show, that homogeneous networks

undergo a transition from non-invertible to invertible (see Fig. 1(a)). We also found, that many real systems have

a tendency to mask the inputs received. Therefore, invertibility requires a careful selection of outputs which need

to be monitored by measurement devices. Importantly, we present a simple yet efficient sensor node placement

algorithm to achieve invertibility of complex dynamic systems with a minimum of measurements (see Fig. 1(b,c)).

These results are useful for the development of more realistic mathematical models, for the design of synthetic

systems, and for the diagnosis of error or attacks with a minimum set of sensors.

About the speaker
Visiting Speaker
Dominik Kahl
PhD Student,
Structural Invertibility and Optimal Sensor Node Placement for Error and Input Reconstruction in Dynamic Systems
Mon
Aug 26, 2019
11:00 am
177 Huntington Ave
11th floor
ADD to calendar

A fundamental goal of science and engineering is to understand, predict or control complex dynamic systems, be

they spreading infectious diseases, ecological networks, biochemical reactions, vehicles ore pace makers. ODE

systems are routinely used for that purpose. However, our knowledge about most real world systems is limited

and the system might be perturbed by external influences beyond our control. Reconstructing such unknown

inputs from measurements is an important goal in order to observe the state of the system and to predict its future

behaviour or to diagnose errors or attacks.

If the inputs can be reconstructed from measurements, we call such a system invertible. We present, how

invertibility is related to the intrinsic network structure of the system. We show, that homogeneous networks

undergo a transition from non-invertible to invertible (see Fig. 1(a)). We also found, that many real systems have

a tendency to mask the inputs received. Therefore, invertibility requires a careful selection of outputs which need

to be monitored by measurement devices. Importantly, we present a simple yet efficient sensor node placement

algorithm to achieve invertibility of complex dynamic systems with a minimum of measurements (see Fig. 1(b,c)).

These results are useful for the development of more realistic mathematical models, for the design of synthetic

systems, and for the diagnosis of error or attacks with a minimum set of sensors.

about the speaker