Matrix Computations
Controllability and observability, Lyapunov and Riccati equations
Using Control System Toolbox™ software, you can perform various matrix computations for dynamic system models, such as controllability and observability, and solve Lyapunov and Riccati equations.
Functions
lyap | Solve continuous-time Lyapunov equation |
lyapchol | Square-root solver for continuous-time Lyapunov equation |
dlyap | Solve discrete-time Lyapunov equations |
dlyapchol | Square-root solver for discrete-time Lyapunov equations |
icare | Implicit solver for continuous-time algebraic Riccati equations |
idare | Implicit solver for discrete-time algebraic Riccati equations |
ctrb | Controllability of state-space model |
obsv | Observability of state-space model |
ctrbf | Compute controllability staircase form |
obsvf | Compute observability staircase form |
gram | Controllability and observability Gramians |
gramOptions | Options for the gram command |
bdqz | Block-diagonal QZ decomposition (Since R2023b) |
bdschur | Block-diagonal Schur factorization |
norm | Norm of linear model |