4 papers
Picard Iteration for Parameter Estimation in Nonlinear Ordinary Differential Equations using Low-Quality Data
Aleksandr Talitckii, Matthew M. Peet
We consider the problem of using experimental time-series data for parameter estimation in nonlinear ordinary differential equations, focusing on the case where the data is noisy,…
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…
A -Analysis and Synthesis Framework for Partial Integral Equations using IQCs
Thijs Lenssen, Aleksandr Talitckii, Matthew Peet +1
We develop a -analysis and synthesis framework for infinite-dimensional systems that leverages the Integral Quadratic Constraints (IQCs) to compute the structured singular valu…
Efficient Convex Algorithms for Universal Kernel Learning
Aleksandr Talitckii, Brendon K. Colbert, Matthew M. Peet
The accuracy and complexity of machine learning algorithms based on kernel optimization are determined by the set of kernels over which they are able to optimize. An ideal set of k…