109 citations · 955 across the 60 of their papers we have counts for
22 papers · 1 filter
Algorithmic construction of Lyapunov functions for continuous vector fields via convex semi-infinite programs
Raavi Gupta, Sameep Chattopadhyay, Pradyumna Paruchuri +1
This article presents a novel numerically tractable technique for synthesizing Lyapunov functions for equilibria of nonlinear vector fields. In broad strokes, corresponding to an i…
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…
Robust matrix commutator conditions for stability of switched linear systems under restricted switching
Atreyee Kundu, Debasish Chatterjee
This article treats global uniform exponential stability (GUES) of discrete-time switched linear systems under restricted switching. Given admissible minimum and maximum dwell time…
Measure of quality of finite-dimensional linear systems: A frame-theoretic view
Mishal Assif PK, Mohammed Rayyan Sheriff, Debasish Chatterjee
A measure of quality of a control system is a quantitative extension of the classical binary notion of controllability. In this article we study the quality of linear control syste…
Exact isoholonomic motion of the planar Purcell's swimmer
Sudin Kadam, Karmvir Singh Phogat, Ravi N. Banavar +1
In this article we present the discrete-time isoholonomic problem of the planar Purcell's swimmer and solve it using the Discrete-time Pontryagin maximum principle. The 3-link Purc…
On optimal multiplexing of an ensemble of discrete-time constrained control systems on matrix Lie groups
Chinmay Maheshwari, Sukumar Srikant, Debasish Chatterjee
We study a constrained optimal control problem for an ensemble of control systems. Each sub-system (or plant) evolves on a matrix Lie group, and must satisfy given state and contro…