2 citations · 3 across the 7 of their papers we have counts for
7 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…
A Convex Optimization Approach to Compute Trapping Regions for Lossless Quadratic Systems
Shih-Chi Liao, A. Leonid Heide, Maziar S. Hemati +1
Quadratic systems with lossless quadratic terms arise in many applications, including models of atmosphere and incompressible fluid flows. Such systems have a trapping region if al…
On the convexity of static output feedback control synthesis for systems with lossless nonlinearities
Talha Mushtaq, Peter Seiler, Maziar S. Hemati
Computing a stabilizing static output-feedback (SOF) controller is an NP-hard problem, in general. Yet, these controllers have amassed popularity in recent years because of their p…
Exact Solution for the Rank-One Structured Singular Value with Repeated Complex Full-Block Uncertainty
Talha Mushtaq, Peter Seiler, Maziar S. Hemati
In this note, we present an exact solution for the structured singular value (SSV) of rank-one complex matrices with repeated complex full-block uncertainty. A key step in the proo…