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math.AP2026
Stable Rational Approximation of PDE Transfer Functions with Error Bounds
Aleksandr Talitckii, Matthew M. Peet
Transfer functions of Partial Differential Equations (PDEs) are irrational and difficult to obtain. Unlike for rational transfer functions, only a few methods are available for the…
math.DS2026
Picard Iteration for Parameter Estimation in Nonlinear Dynamic Models of Aircraft and Spacecraft
Aleksandr Talitckii, Matthew Peet
The attitude dynamics of aircraft and spacecraft exhibit significantly nonlinear behaviour. In spacecraft, torque is generated through reaction wheels and control moment gyros. In…