Suppose a physical system is represented by the following system of equations, where u(t) is the...

 

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Suppose a physical system is represented by the following system of equations, where u(t) is the input and y(t) is the output: d[ 21 (t) dt [ 22(t) = [ ²₁ (²- 7 2₁(t = 1) + \u(t)\ ], |u(t)}], y(t)=z1(t+1)+2₂2(t) — u(t). 21 (t) For each of the following properties, determine if it applies to the above system and briefly justify your answers (rigorous proofs not needed). Linear Time-invariant Causal Lumped Nonlinear Time-varying Non-causal Distributed Continuous-time Discrete-time Suppose a physical system is represented by the following system of equations, where u(t) is the input and y(t) is the output: d[ 21 (t) dt [ 22(t) = [ ²₁ (²- 7 2₁(t = 1) + \u(t)\ ], |u(t)}], y(t)=z1(t+1)+2₂2(t) — u(t). 21 (t) For each of the following properties, determine if it applies to the above system and briefly justify your answers (rigorous proofs not needed). Linear Time-invariant Causal Lumped Nonlinear Time-varying Non-causal Distributed Continuous-time Discrete-time