Gentle Introduction to Gradients and Level Curves from Control Perspective

#mechatronics #optimization #controlengineering #controltheory #calculus #mechanicalengineering #electricalengineering #machinelearning #gradient #physics #numerical #mathematics
#control #controltheory #controlsystems #controlengineering #robotics #mechatronics #mechanicalengineering #electricalengineering #machinelearning

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In this optimization and numerical computing tutorial, we provide a clear and easy-to-understand explanation of gradients and level curves. Gradients are fundamental mathematical objects that are used in a number of engineering, physics, and mathematical fields such as control theory, signal processing, optimization, dynamics, etc. We explain gradients and level curves from the control engineering perspective. This tutorial is a part of a larger tutorial on numerical optimization and implementation of numerical algorithms in C/C++.