5 papers · 1 filter
Incremental stability in and : classification and synthesis
Simon Kuang, Xinfan Lin
All Lipschitz dynamics with the weak infinitesimal contraction (WIC) property can be expressed as a Lipschitz nonlinear system in proportional negative feedback -- this statement,…
Assumed Density Filtering and Smoothing with Neural Network Surrogate Models
Simon Kuang, Xinfan Lin
The Kalman filter and Rauch-Tung-Striebel (RTS) smoother are optimal for state estimation in linear dynamic systems. With nonlinear systems, the challenge consists in how to propag…
Debiasing Continuous-time Nonlinear Autoregressions
Simon Kuang, Xinfan Lin
We study how to identify a class of continuous-time nonlinear systems defined by an ordinary differential equation affine in the unknown parameter. We define a notion of asymptotic…
A New Type of Nonlinear Disturbance Rejection
Simon Kuang, Xinfan Lin
Asymptotic disturbance rejection (equivalently tracking) for nonlinear systems has been studied only in qualitative terms (the state is asymptotically stable under bounded disturba…
Estimation Sample Complexity of a Class of Nonlinear Continuous-time Systems
Simon Kuang, Xinfan Lin
We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the param…