@@ -377,14 +377,14 @@ def minimal_realization(sys, tol=None, verbose=True):
377377def _block_hankel (Y , m , n ):
378378 """Create a block Hankel matrix from impulse response."""
379379 q , p , _ = Y .shape
380- YY = Y .transpose (0 ,2 , 1 ) # transpose for reshape
380+ YY = Y .transpose (0 , 2 , 1 ) # transpose for reshape
381381
382- H = np .zeros ((q * m ,p * n ))
382+ H = np .zeros ((q * m , p * n ))
383383
384384 for r in range (m ):
385385 # shift and add row to Hankel matrix
386- new_row = YY [:,r :r + n ,:]
387- H [q * r :q * (r + 1 ),:] = new_row .reshape ((q ,p * n ))
386+ new_row = YY [:, r :r + n , :]
387+ H [q * r :q * (r + 1 ), :] = new_row .reshape ((q , p * n ))
388388
389389 return H
390390
@@ -480,22 +480,22 @@ def eigensys_realization(arg, r, m=None, n=None, dt=True, transpose=False):
480480 if (l - 1 ) < m + n :
481481 raise ValueError ("not enough data for requested number of parameters" )
482482
483- H = _block_hankel (YY [:,:, 1 :], m , n + 1 ) # Hankel matrix (q*m, p*(n+1))
484- Hf = H [:,:- p ] # first p*n columns of H
485- Hl = H [:,p :] # last p*n columns of H
483+ H = _block_hankel (YY [:, :, 1 :], m , n + 1 ) # Hankel matrix (q*m, p*(n+1))
484+ Hf = H [:, :- p ] # first p*n columns of H
485+ Hl = H [:, p :] # last p*n columns of H
486486
487487 U ,S ,Vh = np .linalg .svd (Hf , True )
488- Ur = U [:,0 :r ]
489- Vhr = Vh [0 :r ,:]
488+ Ur = U [:, 0 :r ]
489+ Vhr = Vh [0 :r , :]
490490
491491 # balanced realizations
492492 Sigma_inv = np .diag (1. / np .sqrt (S [0 :r ]))
493493 Ar = Sigma_inv @ Ur .T @ Hl @ Vhr .T @ Sigma_inv
494- Br = Sigma_inv @ Ur .T @ Hf [:,0 :p ]* dt # dt scaling for unit-area impulse
495- Cr = Hf [0 :q ,:] @ Vhr .T @ Sigma_inv
496- Dr = YY [:,:, 0 ]
494+ Br = Sigma_inv @ Ur .T @ Hf [:, 0 :p ]* dt # dt scaling for unit-area impulse
495+ Cr = Hf [0 :q , :] @ Vhr .T @ Sigma_inv
496+ Dr = YY [:, :, 0 ]
497497
498- return StateSpace (Ar ,Br ,Cr ,Dr ,dt ), S
498+ return StateSpace (Ar , Br , Cr , Dr , dt ), S
499499
500500
501501def markov (* args , m = None , transpose = False , dt = None , truncate = False ):
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