linear state space model
uses first-order vector differential equations to represent linear dynamic systems.
symbols, variables and units
x: state; u: input; y: output; A, B, C, D: matrix of dimension matching.
applicable conditions and boundaries
Constant matrix represents a linear time-invariant system; state units may vary.
formula source code
The following is a copyable LaTeX expression.
\dot x=Ax+Bu,\quad y=Cx+Du
Reference and Extended Learning
University of Michigan · Control Tutorials for MATLAB and Simulink ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
state spacesystem