Control from Approximate Dynamic Programming Using State-Space Discretization

\[\def\bigtimes{\mathop{\vcenter{\huge\times}}}\] Introduction In a recent post, principles of Dynamic Programming were used to derive a recursive control algorithm for Deterministic Linear Control systems. The challenges with the approach used in that blog post is that it is only readily useful for Linear Control Systems with linear cost functions. What if, instead, we had a Nonlinear…

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An Introduction to Tensor Notation

Introduction Mathematics and the methods to communicate and work with it have evolved ever since mankind began. In our modern world, most are driven to represent concepts and expressions in clear forms based on topics like Linear Algebra, keeping things in the form of matrices and vectors. While this is quite useful for visualization and…

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