27 citations · 37 across the 6 of their papers we have counts for
3 papers · 1 filter
Invariant Funnels around Trajectories using Sum-of-Squares Programming
Mark M. Tobenkin, Ian R. Manchester, Russ Tedrake
This paper presents numerical methods for computing regions of finite-time invariance (funnels) around solutions of polynomial differential equations. First, we present a method wh…
Regions of Attraction for Hybrid Limit Cycles of Walking Robots
Ian R. Manchester, Mark M. Tobenkin, Michael Levashov +1
This paper illustrates the application of recent research in region-of-attraction analysis for nonlinear hybrid limit cycles. Three example systems are analyzed in detail: the van…
Convex Optimization In Identification Of Stable Non-Linear State Space Models
Mark M. Tobenkin, Ian R. Manchester, Jennifer Wang +2
A new framework for nonlinear system identification is presented in terms of optimal fitting of stable nonlinear state space equations to input/output/state data, with a performanc…