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![SOLVED: The following difference equation models a discrete-time control system: y(k+3)-y(k +2)+y(k +l)+2y(k) =u(k)-y(k+1)-2y(k+2) where u(k) is the input: Let the output be c(k) =y(k+1) Define state variables and find a state-space SOLVED: The following difference equation models a discrete-time control system: y(k+3)-y(k +2)+y(k +l)+2y(k) =u(k)-y(k+1)-2y(k+2) where u(k) is the input: Let the output be c(k) =y(k+1) Define state variables and find a state-space](https://cdn.numerade.com/ask_images/34462d04e11c42ac91e225b425a6d586.jpg)