Package of functions to analyse zeros-and-poles description represented by a ZerosAndPoles record


Name Description
analysis Make a system analysis based on the poles and zeros of the system
timeResponse Calculate the time response of a zeros-and-poles transfer function
impulseResponse Calculate the impulse time response
stepResponse Calculate the step time response
rampResponse Calculate the ramp time response
initialResponse Calculate the time response for given initial condition and zero inputs
numeratorDegree Return numerator degree of a ZerosAndPoles transfer function
denominatorDegree Return denominator degree of a ZerosAndPoles transfer function
evaluate Evaluate a ZerosAndPoles transfer function at a given value of p
zerosAndPoles Calculate zeros and poles of a ZerosAndPoles transfer function
eigenValues Calculate the eigen values of a linear zeros-and-poles transfer function and write them in a complex vector
eigenVectors Calculate the rigth eigenvectors of the corresponding state space system of a zeros-and-poles transfer function and write them columnwise in a matrix
invariantZeros Compute invariant zeros of zeros-and-poles transfer function
dcGain Return steady state gain k (for a stable system: k = value of y at infinite time for a step input)
isControllable Check controllability of a zp-transfer-function
isObservable Check observability of a zp-transfer-function
isStabilizable Check stabilizability of a zp-transfer-function
isDetectable Check detectability of a zp-transfer-function
controllabilityMatrix Calculate the controllability matrix [B, A*B, ..., A^(n-1)*B] of a zp-transfer-function
observabilityMatrix Calculate the observability matrix of zp-transfer-function

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