# A simple proof of the discrete time geometric Pontryagin maximum principle

@article{MishalAssifP2020ASP, title={A simple proof of the discrete time geometric Pontryagin maximum principle}, author={K. MishalAssifP. and Debasish Chatterjee and Ravi N. Banavar}, journal={ArXiv}, year={2020}, volume={abs/1807.00698} }

## 6 Citations

### Robust Discrete-Time Pontryagin Maximum Principle on Matrix Lie Groups

- Mathematics2020 59th IEEE Conference on Decision and Control (CDC)
- 2020

A version of the Pontryagin maximum principle (PMP) is presented that encapsulates first-order necessary conditions that the optimal control and disturbance trajectories must satisfy in a discrete-time robust optimal control problem on matrix Lie groups.

### Optimal Multiplexing of Discrete-Time Constrained Control Systems on Matrix Lie Groups

- MathematicsIEEE Transactions on Automatic Control
- 2021

This article provides first-order necessary conditions for optimality in the form of a Pontryagin maximum principle for optimal control problems for an ensemble of control systems in a centralized setting.

### A geometric approach for the optimal control of difference inclusions

- MathematicsMath. Control. Signals Syst.
- 2019

A framework suitable for the study of difference inclusions for which the state evolves on a manifold is introduced and necessary conditions for optimality are developed for a broad class of discrete-time problems of dynamic optimization.

### On optimal multiplexing of an ensemble of discrete-time constrained control systems on matrix Lie groups

- MathematicsArXiv
- 2019

This work provides first-order necessary conditions for optimality in the form of suitable Pontryagin maximum principle in this problem of constrained optimal control for an ensemble of control systems.

### Optimal control approach for nonlinear chemical processes with uncertainty and application to a continuous stirred-tank reactor problem

- EngineeringArabian Journal of Chemistry
- 2022

### A geometric approach for the optimal control of difference inclusions

- Materials ScienceMathematics of Control, Signals, and Systems
- 2019

Difference inclusions provide a discrete-time analogue of differential inclusions, which in turn play an important role in the theories of optimal control, implicit differential equations, and…

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