3 papers
math.OC2020
Robust Discrete-Time Pontryagin Maximum Principle on Matrix Lie Groups
Anant A. Joshi, Debasish Chatterjee, Ravi N. Banavar
This article considers a discrete-time robust optimal control problem on matrix Lie groups. The underlying system is assumed to be perturbed by exogenous unmeasured bounded disturb…
eess.SY2019
Modification of Hilbert's Space-Filling Curve to Avoid Obstacles: A Robotic Path-Planning Strategy
Anant A. Joshi, Maulik C. Bhatt, Arpita Sinha
This paper addresses the problem of exploring a region using the Hilbert's space-filling curve in the presence of obstacles. No prior knowledge of the region being explored is assu…
eess.SY2019
Uncertainty Quantification And Analysis Of Dynamical Systems With Invariants
Anant A. Joshi, Kamesh Subbarao
This paper considers uncertainty quantification in systems perturbed by stochastic disturbances, in particular, Gaussian white noise. The main focus of this work is on describing t…