Q1. Define the following:
(i) zero input response (ii) zero state response (iii) characteristic polynomial (iv) characteristic equation and (v) eigen values
(i) Zero Input Response (ZIR): The response which occurs even without input is known as zero input response and it is due to initial condition.
where Φ(k) = A kis termed as the state transition matrix.
(ii) Zero State Response: The response which occurs when all initial conditions are zero is known as zero state response.
(iii) Characteristic Polynomial: The characteristic polynomial of the matrix A of order