(Under construction … You can find my articles on my Google Scholar profile for now.)
Authors: Shih-Chi Liao, A. Leonid Heide, Maziar S. Hemati, Peter J. Seiler
Publication under preparation.
This paper focuses developed convex-optimization-based method to verify the boundedness of solutions to Lossless Quadratic ODEs. This convex formulation provides wide connection to literature in modeling, analysis, and design in control and dynamical system using convex methods.
Download here
Authors: Shih-Chi Liao, Maziar S. Hemati, Peter Seiler
Published in 2022 IEEE 61st Conference on Decision and Control (CDC), 2022
This paper proposes new quadratic constraints (QCs) to characterize a quadratic polynomial. Such QCs can be used in dissipation inequalities to analyze the stability and performance of nonlinear systems with quadratic vector fields.
Download here
Authors: Jyot Buch, Shih-Chi Liao, Peter Seiler
Published in IEEE Control Systems Letters, 2021
This paper focuses on safety-cirical control under uncertainties. Robust control barrier functions are proposed, and convex optimization problem are formulated to ensure the safety of the uncertain system.
Download here