Question: Consider the LTI state space equation. -1 0 - 0 -1 1 x+0u 0 0 0 y= [011] x a) Show that the system

Consider the LTI state space equation. -1 0 - 0 -1 1 x+0u 0 0 0 y= [011] x a) Show that the system is not fully controllable and not fully observable. b) Decompose the system into a controllable subsystem. c) Decompose the system into an observable subsystem.

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