44 citations · 47 across the 4 of their papers we have counts for
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math.OC2017
The Discrete-Time Geometric Maximum Principle
Robert Kipka, Rohit Gupta
We establish a variety of results extending the well-known Pontryagin maximum principle of optimal control to discrete-time optimal control problems posed on smooth manifolds. Thes…
math.OC2017★ 1 cited
Linear Openness and Feedback Stabilization of Nonlinear Control Systems
Rohit Gupta, Farhad Jafari, Robert J. Kipka +1
It is well known from the seminal Brockett's theorem that the openness property of the mapping on the right-hand side of a given nonlinear ODE control system is a necessary conditi…
math.OC2017
Optimal Control Problems with Symmetry Breaking Cost Functions
Anthony Bloch, Leonardo Colombo, Rohit Gupta +1
We investigate symmetry reduction of optimal control problems for left-invariant control systems on Lie groups, with partial symmetry breaking cost functions. Our approach emphasiz…