Assertion (A): The discrete time system described by y[n] =2x[n] +4x[n-1] is unstableReason (R): It has an impulse response with a finite number of non-zero samples(a) Both A and R are true and R is correct explanation of A(b) Both A and R are true but R is not correct explanationof A(c) A is true but R is false(d) A is false but R is trueThe question was asked in class test.I'd like to ask this question from The Z-Transfer Function in chapter Digital Control Systems of Control Systems

Assertion (A): The discrete time system described by y[n] =2x[n] +4x[n

1.	Assertion (A): The discrete time system described by y[n] =2x[n] +4x[n-1] is unstableReason (R): It has an impulse response with a finite number of non-zero samples(a) Both A and R are true and R is correct explanation of A(b) Both A and R are true but R is not correct explanationof A(c) A is true but R is false(d) A is false but R is trueThe question was asked in class test.I'd like to ask this question from The Z-Transfer Function in chapter Digital Control Systems of Control Systems
Answer» The CORRECT answer is (d) A is false but R is true The explanation is: For the system to be stable the value of the transfer FUNCTION in the discrete time domain must be SUMMABLE and H[n] calculated is summable HENCE the system is stable.

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