[HTML][HTML] Chordal and factor-width decompositions for scalable semidefinite and polynomial optimization
Chordal and factor-width decomposition methods for semidefinite programming and
polynomial optimization have recently enabled the analysis and control of large-scale linear …
polynomial optimization have recently enabled the analysis and control of large-scale linear …
Promoting global stability in data-driven models of quadratic nonlinear dynamics
Modeling realistic fluid and plasma flows is computationally intensive, motivating the use of
reduced-order models for a variety of scientific and engineering tasks. However, it is …
reduced-order models for a variety of scientific and engineering tasks. However, it is …
Systematic search for extreme and singular behaviour in some fundamental models of fluid mechanics
B Protas - … Transactions of the Royal Society A, 2022 - royalsocietypublishing.org
This review article offers a survey of the research program focused on a systematic
computational search for extreme and potentially singular behaviour in hydrodynamic …
computational search for extreme and potentially singular behaviour in hydrodynamic …
Bounds for deterministic and stochastic dynamical systems using sum-of-squares optimization
We describe methods for proving upper and lower bounds on infinite-time averages in
deterministic dynamical systems and on stationary expectations in stochastic systems. The …
deterministic dynamical systems and on stationary expectations in stochastic systems. The …
Input-output inspired method for permissible perturbation amplitude of transitional wall-bounded shear flows
The precise set of parameters governing transition to turbulence in wall-bounded shear
flows remains an open question; many theoretical bounds have been obtained, but there is …
flows remains an open question; many theoretical bounds have been obtained, but there is …
Finding extremal periodic orbits with polynomial optimization, with application to a nine-mode model of shear flow
MV Lakshmi, G Fantuzzi, JD Fernández-Caballero… - SIAM Journal on Applied …, 2020 - SIAM
Tobasco, Goluskin, and Doering [https://doi. org/10.1016/j. physleta. 2017.12. 023 Phys. Lett.
A, 382 (2018), pp. 382--386}] recently suggested that trajectories of ODE systems that …
A, 382 (2018), pp. 382--386}] recently suggested that trajectories of ODE systems that …
Data-driven stabilization of an oscillating flow with linear time-invariant controllers
This paper presents advances towards the data-based control of periodic oscillator flows,
from their fully developed regime to their equilibrium stabilized in closed loop, with linear …
from their fully developed regime to their equilibrium stabilized in closed loop, with linear …
Modelling and feedback control of vortex shedding for drag reduction of a turbulent bluff body wake
Three-dimensional bluff body wakes are of key importance due to their relevance to the
automotive industry. Such wakes have both large pressure drag and a number of coherent …
automotive industry. Such wakes have both large pressure drag and a number of coherent …
Data-driven stabilization of an oscillating flow with LTI controllers
This paper presents advances towards the data-based control of periodic oscillator flows,
from their fully-developed regime to their equilibrium stabilized in closed-loop, with linear …
from their fully-developed regime to their equilibrium stabilized in closed-loop, with linear …
Parameter optimization of reduced fluid model via sparse point measurements
Model order reduction is a modeling method that can facilitate the analysis and the control
synthesis of distributed parameter systems, which are governed by partial differential …
synthesis of distributed parameter systems, which are governed by partial differential …