5 citations · 9 across the 4 of their papers we have counts for
4 papers
Numerical Discretization Schemes that Preserve Flatness
Ashutosh Jindal, Florentina Nicolau, David Martin Diego +1
Differential flatness serves as a powerful tool for controlling continuous time nonlinear systems in problems such as motion planning and trajectory tracking. A similar notion, cal…
Constructing Dynamic Feedback Linearizable Discretizations
Ashutosh Jindal, Florentina Nicolau, David Martin Diego +1
Dynamic feedback linearization-based methods allow us to design control algorithms for a fairly large class of nonlinear systems in continuous time. However, this feature does not…
Constructing Feedback Linearizable Discretizations for Continuous-Time Systems using Retraction Maps
Ashutosh Jindal, Ravi Banavar, David Martin Diego
Control laws for continuous-time dynamical systems are most often implemented via digital controllers using a sample-and-hold technique. Numerical discretization of the continuous…
Implicit Function Theorem: Estimates on the size of the domain
Ashutosh Jindal, Debasish Chatterjee, Ravi Banavar
In this article, we present explicit estimates of the size of the domain on which the Implicit Function Theorem and the Inverse Function Theorem are valid. For maps that are twice…