1 citations · 1 across the 6 of their papers we have counts for
7 papers
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…
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 value…
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,…
Integral Quadratic Constraints with Infinite-Dimensional Channels
Aleksandr Talitckii, Peter Seiler, Matthew M. Peet
Modern control theory provides us with a spectrum of methods for studying the interconnection of dynamic systems using input-output properties of the interconnected subsystems. Per…
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…
Employing Feature Selection Algorithms to Determine the Immune State of a Mouse Model of Rheumatoid Arthritis
Brendon K. Colbert, Joslyn L. Mangal, Aleksandr Talitckii +2
The immune response is a dynamic process by which the body determines whether an antigen is self or nonself. The state of this dynamic process is defined by the relative balance an…