tdcpy.zeros module

Functionalities for calculating transmission zeros

tdcpy.zeros.zeros(tds, r, input_index=0, output_index=0, **kwargs)

Computes transmission zeros of a time-delay system

Parameters:

• tds (TDS) – instance of time-delay system, i.e., RDDE, NDDE or DDAE

• r (list) – rectangular region defined via 4 coordinates [Re_min, Re_max, Im_min, Im_max]

• input_index (int) – input index for transmission zeros computation, default 0

• output_index (int) – output index for transmission zeros computation,

• **kwargs –

  max_size_evp (int): TODO, default 600 discretization (int): discretization, if None heuristic is envoked,

  default None, keep default if you don’t know, has to be > 1

  basic_delay (float): define if delays are commensurate, default

  None, used in discretization heuristic case rhp

Returns:

tuple containing

• roots (array): array of found roots

• metadata (RootsInfo): named tuple consisting of usefull

  metadata

Return type:

tuple[ndarray[tuple[Any, …], dtype[_ScalarT]], RootsInfo]