For the systems listed below, determine: whether the systems are linear or non-linear the type of...
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For the systems listed below, determine: whether the systems are linear or non-linear the type of systems representation (whether they are differential equations, transfer function or state-space) (iii) the order of the systems. For each part, explain your reasoning. (i) (ii) d²y(t) dt² (a) 2. (b) G(s) = + 2y(t) = 0 (c) []=[]+[₂ 3 s+1 (s+2)(s²+s+1) For the two systems given below, (i) obtain the transfer function, (ii) determine whether the Final Value Theorem applies and explain your reasoning, (a) dy(t) (iii) if the Final Value Theorem applies, find the steady state value of y(t). Assume that the input is a unit step u(t) = 1 for t ≥ 0. (b) dy(t) dt = -3y(t) + 9u(t) = 3y(t) + 9u(t) For the systems listed below, determine: whether the systems are linear or non-linear the type of systems representation (whether they are differential equations, transfer function or state-space) (iii) the order of the systems. For each part, explain your reasoning. (i) (ii) d²y(t) dt² (a) 2. (b) G(s) = + 2y(t) = 0 (c) []=[]+[₂ 3 s+1 (s+2)(s²+s+1) For the two systems given below, (i) obtain the transfer function, (ii) determine whether the Final Value Theorem applies and explain your reasoning, (a) dy(t) (iii) if the Final Value Theorem applies, find the steady state value of y(t). Assume that the input is a unit step u(t) = 1 for t ≥ 0. (b) dy(t) dt = -3y(t) + 9u(t) = 3y(t) + 9u(t)
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