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| 1. |
Consider Continuous time system = - . For the system to be linear response + should be + with relation between constant '' and '' as __________ . |
| Answer» Let ax1(t) + bx2(t) = m(t) where m(t) is new input which causes the output n(t) n(t) = m(t) - n(t) = {ax1(t) + bx2(t)} - add and subtract n(t) = x1(t) -a + x2(t) -b +a +b - n(t) = +{a + b - 1} n(t) = ay1(t) + by2(t) +{a + b - 1} For linearity, n(t) = ay1(t) + by2(t) ∴ {a + b - 1} = 0 ∴ a + b = 1. | |