3 papers
math.DS2026
Time-Spectral Resolvent Analysis For Periodic Dynamical Systems
Max Howell, Sicheng He
Traditional resolvent analysis is a powerful framework for identifying the most amplified input-output structures in fluid flows from a stationary base state. Extending this resolv…
math.OC2026
Efficient Adjoint-based Design Optimization with Optimal Control
Sicheng He, Shugo Kaneko, Max Howell +2
Multidisciplinary engineering system design typically employs a sequential process, progressing from system dynamics to design variables and control. However, this process is ineff…
math.DS2025
Adjoint-based Hopf-bifurcation Instability Suppression via First Lyapunov Coefficient
Sicheng He, Max Howell, Daning Huang +3
Many physical systems exhibit limit cycle oscillations induced by Hopf bifurcations. In aerospace engineering, limit cycle oscillations arise from undesirable Hopf bifurcation phen…