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The constitutive relation for a linear current controlled current source is given as Iout = k . Iin with k being the current gain. To introduce Iin as an additional unknown a voltage source with V0 = 0 V is used.
yx, y $ \varphi_{1}^{}$ $ \varphi_{2}^{}$ $ \varphi_{3}^{}$ $ \varphi_{4}^{}$ Iin     r
n1         1 - Iin
n2         -1 Iin
n3         k Iout
n4         - k - Iout
Iin 1 -1       - Vin

Tibor Grasser