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DynamicSystems

  

CharacteristicPolynomial

  

compute the characteristic polynomial of a state-space system

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

CharacteristicPolynomial(sys, lambda)

Parameters

sys

-

System(ss); a state-space system object

lambda

-

(optional) name

Description

• 

The CharacteristicPolynomial command returns the characteristic polynomial, in lambda, of the state-space system sys. The polynomial is the determinant of lambda*I - A, where A is the system matrix of sys and I is the identity Matrix with dimension(A).

• 

The optional lambda parameter is used as the indeterminate of the returned polynomial. The default is the value of the DynamicSystems[SystemOptions] discretefreqvar option, if sys is discrete, or the complexfreqvar option, if sys is continuous.

Examples

withDynamicSystems:

sysStateSpace1s2+s+1:

CharacteristicPolynomialsys

s2+s+1

(1)

sysStateSpacezz2+az+b,discrete:

CharacteristicPolynomialsys

z2+az+b

(2)

CharacteristicPolynomialsys,w

w2+aw+b

(3)

See Also

DynamicSystems

DynamicSystems[SystemOptions]

LinearAlgebra[CharacteristicPolynomial]

 


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