State-Space Model
Chapter 20: ODE, SDE, and Continuous Limits of Algorithms — State-Space Models
From the book
Chapter 20: ODE, SDE, and Continuous Limits of Algorithms. In the chapter mind map this icon labels State-Space Models. The discussion below is excerpted and lightly edited from § State-Space Models in Mathematics for AI and Machine Learning.
Many dynamical systems—from physical systems to modern sequence models—can be described as linear state-space models. These provide a bridge between continuous-time differential equations and discrete-time algorithms.
What this drawing shows
What you see. $u(t) \to [A,B] \to [C,D] \to y(t)$ blocks fixed; input signal pulse propagates through the state-space diagram.
In the mind map. Chapter 20 — State-Space Models. See From the book above for definitions, figures, and worked examples.
Where to read next
Read the full definitions, figures, and worked examples in Chapter 20: ODE, SDE, and Continuous Limits of Algorithms — see the mind-map node State-Space Models.