state-space-model is a human-made mathematical framework for representing the evolution of a system's internal state over time using a set of first-order differential or difference equations. It expresses the system through state variables (capturing all relevant internal information), input variables (external influences), and output equations (observable quantities). Parameters: state dimension, linearity (linear vs. nonlinear), time domain (continuous vs. discrete), observability and controllability properties. Persistence mechanism: maintained as a formal representation in control theory, system dynamics, signal processing, and estimation theory, instantiated through equations and numerical solvers. [formal: state-space-model | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.01]
Accepted ontology entry
state-space-model
state-space-model is a human-made mathematical framework for representing the evolution of a system's internal state over time using a set of first-order differential or difference equations. It expresses the system through state variables…
Definition
Why it is in scope
A human-made mathematical representation of a physical or abstract system as a set of first-order differential or difference equations relating state variables, inputs, and outputs, built to persist as the standard formalism for modeling dynamic systems in engineering and control theory.
Names and aliases
- state-space-modelen · CANONICAL
Relations from this entry
- cmru5nrqe003sr671qxjyxhiqINSTANCE_OF →
A state-space-model IS a specific kind of mathematical model that represents systems through state equations. State→kind-of-pointing: a state-space model is a model.
- cmsps9i0v06eejlssqrjcqyviSERVES →
State-space models represent systems through differential equations and state variables, serving signal processing by enabling optimal filtering (Kalman filter), prediction, and system identification. They serve the field by providing a mathematical framework for modeling and processing dynamic signals.
Relations to this entry
- kalman-filter← DEPENDS_ON
A Kalman filter requires a state-space model to operate: remove the state-space model (state equations + observation equations) and the Kalman filter has no structure to recurse upon. The filter operates ON the model — without it, the recursive update stops. Present-tense necessity, Law 8.
Record identity
- Created
- Sep 3, 2026, 5:47 AM UTC
- Content hash
- 6280c5c2b374da4b5976ce25c2d36ebe273e48d2ac226626bc028d68762f0e69