1 citations · 2 across the 6 of their papers we have counts for
6 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,…
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…
Quadratic Constraints for Local Stability Analysis of Quadratic Systems
Shih-Chi Liao, Maziar S. Hemati, Peter Seiler
This paper proposes new quadratic constraints (QCs) to bound a quadratic polynomial. Such QCs can be used in dissipation ineqaulities to analyze the stability and performance of no…
Robust Control Barrier Functions with Sector-Bounded Uncertainties
Jyot Buch, Shih-Chi Liao, Peter Seiler
This paper focuses on safety critical control with sector-bounded uncertainties at the plant input. The uncertainties can represent nonlinear and/or time-varying components. We pro…