diff --git a/control/optimal.py b/control/optimal.py
index 3242ac3fb..6b60c5b25 100644
--- a/control/optimal.py
+++ b/control/optimal.py
@@ -746,9 +746,9 @@ def _compute_states_inputs(self, coeffs):
states = self.last_states
else:
states = self._simulate_states(self.x, inputs)
- self.last_x = self.x
- self.last_states = states
- self.last_coeffs = coeffs
+ self.last_x = self.x.copy() # save initial state
+ self.last_states = states # always a new object
+ self.last_coeffs = coeffs.copy() # save coefficients
return states, inputs
diff --git a/control/xferfcn.py b/control/xferfcn.py
index 02ba72df4..8e51534d7 100644
--- a/control/xferfcn.py
+++ b/control/xferfcn.py
@@ -1350,7 +1350,7 @@ def _c2d_matched(sysC, Ts, **kwargs):
zpoles[idx] = z
pregainden[idx] = 1 - z
zgain = np.multiply.reduce(pregainnum) / np.multiply.reduce(pregainden)
- gain = sysC.dcgain() / zgain
+ gain = sysC.dcgain() / zgain.real
sysDnum, sysDden = zpk2tf(zzeros, zpoles, gain)
return TransferFunction(sysDnum, sysDden, Ts, **kwargs)
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