Problem 17: For the given systems, find the uncontrollable one(s) ANS: Г1 4 「ふ()] *, (1) x,(1) -2 0 - 2 0 || x,(t) |+0 0 1 x, (t) u, (t) u,(t) (a) 0 -3 || x,(t). 0 x, (t) 0 -3 2 3 [ ()] (b) [o 1 u,...


Problem 17: For the given systems, find the uncontrollable one(s)<br>ANS:<br>Г1 4<br>「ふ()]<br>*, (1)<br>x,(1)<br>-2<br>0 - 2 0 || x,(t) |+0 0<br>1<br>x, (t)<br>u, (t)<br>u,(t)<br>(a)<br>0 -3 || x,(t).<br>0 x, (t)<br>0 -3<br>2 3<br>[ ()]<br>(b)<br>[o 1<br>u, (t)<br>[u,(t).<br>-3<br>1<br>x,(t)<br>[i,(t)|<br>「五()<br>(c)<br>0 || x2(t) |+| 2 1<br>0 -2 x, (t)]<br>x, (t)<br>5 0<br>-<br>1<br>u, (t)<br>*, (t)<br>_*,(t)]<br>(d) all of them<br>0|| x2 (t) + 0 1<br>o -2]x,(1).<br>0 -1<br>5 0 Lu2(t)<br>Problem 18: For the given systems, find the nee(s) with observability.<br>ANS:<br>j (1)]<br>ち()<br>[ち()<br>「ち()<br>*, (1)<br>[x,(t)]<br>「名()<br>[-1 1<br>0 -1 0 x,(t)<br>0 0 -2]x;(1)]<br>x, (1)<br>0 1 0<br>x,(1)<br>0 0 2<br>[x,(t)]<br>(a)<br>and<br>-3 1<br>x, (1)<br>[1 2 0<br>x,(1)<br>20 3<br>Lx,(t)<br>y; (t)<br>0 -3 0| x2(t)<br>0 -1x,(t).<br>0x, (1)<br>(b)<br>and<br>]<br>(c) i, (1)<br>[名()」<br>(d) none of the above<br>-2 1<br>x, (1)<br>[1 1 0]<br>x,(t)<br>0 0 1<br>[x, (t)<br>0 -2 0|| x,(t)<br>and<br>0 0 -4] x,(t)]<br>

Extracted text: Problem 17: For the given systems, find the uncontrollable one(s) ANS: Г1 4 「ふ()] *, (1) x,(1) -2 0 - 2 0 || x,(t) |+0 0 1 x, (t) u, (t) u,(t) (a) 0 -3 || x,(t). 0 x, (t) 0 -3 2 3 [ ()] (b) [o 1 u, (t) [u,(t). -3 1 x,(t) [i,(t)| 「五() (c) 0 || x2(t) |+| 2 1 0 -2 x, (t)] x, (t) 5 0 - 1 u, (t) *, (t) _*,(t)] (d) all of them 0|| x2 (t) + 0 1 o -2]x,(1). 0 -1 5 0 Lu2(t) Problem 18: For the given systems, find the nee(s) with observability. ANS: j (1)] ち() [ち() 「ち() *, (1) [x,(t)] 「名() [-1 1 0 -1 0 x,(t) 0 0 -2]x;(1)] x, (1) 0 1 0 x,(1) 0 0 2 [x,(t)] (a) and -3 1 x, (1) [1 2 0 x,(1) 20 3 Lx,(t) y; (t) 0 -3 0| x2(t) 0 -1x,(t). 0x, (1) (b) and ] (c) i, (1) [名()」 (d) none of the above -2 1 x, (1) [1 1 0] x,(t) 0 0 1 [x, (t) 0 -2 0|| x,(t) and 0 0 -4] x,(t)]

Jun 11, 2022
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