This package collects functions used for common analyses on a state space system represented by a StateSpace record.
| Name | Description |
|---|---|
| analysis | Perform a system analysis based on the poles and zeros of the system |
| timeResponse | Calculate the time response of a state space system |
| impulseResponse | Calculate the impulse time response of a state space system |
| stepResponse | Calculate the step time response of a state space system |
| rampResponse | Calculate the ramp time response of a state space system |
| initialResponse | Calculate the time response of a state space system for given initial condition and zero inputs |
| numeratorDegree | Return numerator degree of the corresponding transfer function |
| denominatorDegree | Return denominator degree of the corresponding transfer function |
| evaluate | Evaluate the corresponding transfer function at a given (complex) value of s |
| zerosAndPoles | Calculate zeros and poles of the TransferFunction corresponding to a state space representation |
| eigenValues | Calculate the eigenvalues of a linear state space system and write them in a complex vector |
| eigenVectors | Calculate the rigth eigenvectors of a linear state space system and write them columnwise in a matrix. Optionally, the eigenvalues are computed |
| invariantZeros | Compute invariant zeros of linear state space system |
| dcGain | Return steady state gain matrix K (for a stable system: K[i,j] = value of y[i] at infinite time for a step input of u[j]) |
| isControllable | Check controllability of a state space system |
| isObservable | Check observability of a state space system |
| isStabilizable | Check stabilizability of a state space system |
| isDetectable | Check detectability of a state space system |
| controllabilityMatrix | Calculate the controllability matrix [B, A*B, ..., A^(n-1)*B] of a state space system |
| observabilityMatrix | Calculate the observability matrix of a state space system |
| analysis2 | Perform a system analysis based on the poles and zeros of the system |