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The Reference Guide contains documentation for all functions supported in the OpenMatrix language.
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OpenMatrix is a mathematical scripting language.
Ackermann's formula (pole placement gain selection for single-input systems).
Appends the inputs and outputs of the two models.
Add states to the outputs of a state-space model.
Computes a Gramian balanced realization of an LTI model.
Block diagonalizability with the Schur factorization.
Builds a block diagonal matrix with the input parameters.
Bode diagram.
Computes a discrete-time state-space model from a continuous-time state-space model.
Solves the continuous-time Algebraic Riccati Equation.
Steady-state co-variance.
Controllability matrix.
Calculates the controllability staircase form.
Converts a discrete model to continuous time model.
Compute natural frequencies, damping ratios, and poles.
Solves the Discrete-time Algebraic Riccati Equations.
Transforms decibels (dB) to magnitude.
Low-frequency (DC) gain of a state-space or transfer function model
Linear-quadratic regulator for a discrete-time model.
Solve discrete-time Lyapunov or Sylvester equations.
Solves discrete-time Lyapunov equations with a square-root solver.
Constructs a descriptor state-space model.
Converts a descriptor state-space system into regular state-space form.
Extracts data from a descriptor state-space model.
Sorts continuous-time poles in descending order by the real component.
Returns the state estimator for a given estimator gain.
Compute the matrix exponential.
Constructs a transfer function model in DSP format.
Generates an input signal for the lsim function.
Computes the observability and controllability Gramians.
Computes the Hankel matrix.
Hankel singular values of a state-space or transfer function model.
Compute the impulse response of a control system.
Returns true if the LTI model is in continuous time.
Returns true if the state-space model is controllable.
Returns true if an LTI model is in discrete time.
Returns true if the state-space is observable.
Checks if an LTI model is single-input/single-output (SISO)
Checks if an LTI model is stable or unstable
Kalman filter or estimator.
Matrix logarithm.
Linear quadratic estimator (Kalman Filter)
Linear-quadratic regulator for a continuous-time model.
Calculates the optimal steady-state feedback gain matrix K.
Simulates LTI model response to arbitrary inputs.
Solves continuous Lyapunov or Sylvester equations.
Solves continuous-time Lyapunov equation using a square-root solver.
Computes magnitude from decibels (dB).
Minimal realization.
Nyquist diagram.
Returns the observability matrix of a state-space model.
Calculates the observability staircase form.
Computes the Pade approximation of time delays.
Connects two state-space or transfer functions in parallel.
Constructs a continuous-time PID controller transfer function.
Pole assignment.
Compute poles for a state-space or transfer function model.
Scale a state-space model.
Creates a state regulator with specified state-feedback and estimator gains.
Transforms a real Schur form to a complex Schur form.
Connects two state-space or transfer function in a series.
Matrix square root.
Constructs a state-space model.
Transforms a state-space model to another state-space model.
Converts state-space model parameters to transfer function model parameters.
Convert state-space model parameters to transfer function model parameters.
Extracts data from a state-space model.
Compute the step response of a control system.
Constructs a transfer function model
Transforms transfer function parameters to state-space parameters.
Transforms (continuous) transfer function parameters to zero-pole-gain parameters.
Transforms (discrete) transfer function parameters to zero-pole-gain parameters.
Extracts data from a transfer function model.
Zero-pole to state-space conversion.
Zero-pole to transfer function conversion.
Constructs a zero, pole, gain model.
Extracts data from a zero-pole-gain model.
Describes all of the blocks in the installed Activate library.
Key terms associated with the software.
Define shortcuts to common operations.
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