4 papers
Trapping Regions for Quadratic Systems with Generalized Lossless Nonlinearities
Diganta Bhattacharjee, Shih-Chi Liao, Peter J. Seiler +1
We consider a class of quadratic systems, primarily motivated by incompressible fluid flows, where the nonlinearities are generalized lossless: they do not produce or dissipate ene…
On Boundedness of Quadratic Dynamics with Energy-Preserving Nonlinearity
Shih-Chi Liao, Maziar S. Hemati, Peter Seiler
Boundedness is an important property of many physical systems. This includes incompressible fluid flows, which are often modeled by quadratic dynamics with an energy-preserving non…
Data-driven nonlinear aerodynamics models with certifiably optimal boundedness properties
A. Leonid Heide, Shih-Chi Liao, Sergio Castiblanco-Ballesteros +3
Obtaining predictive low-order models is a central challenge in fluid dynamics. Data-driven frameworks have been widely used to obtain low-order models of aerodynamic systems; yet,…
Structured Input-Output Modeling and Robust Stability Analysis of Compressible Flows
Diganta Bhattacharjee, Talha Mushtaq, Peter Seiler +1
The recently introduced structured input-output analysis is a powerful method for capturing nonlinear phenomena associated with incompressible flows, and this paper extends that me…