线性系统理论+课后答案+(程兆林+马树萍+著)+科学出版社(3)

好东西

1 R

x 1 L x1 1 L+ L u, = 1 2 x x2 0 0 C

x y=[01] 1 .

x2

3. 解：由电路学知识得

i3=i1+iC2 ① i2=i3+iC1 ②

VC1=

1

iCdt=i3R3+VC2 ③ C1∫1

由①-⑤得

iC2=i3 i1=

www.

=

=1i, V =1i, VC1CC2C

C11C22

设 VC1=x1, VC2=x2, y=

11

1 C1R2C1R3 x x = 1 2

C2R3

khd

=(

11

(VC1 VC2) (VC2 u1) R3R1

1

C1R3

11

C2R3C2R1

课

iC1=i2 i3=

11

(u2 VC1) (VC1 VC2) R2R3

1111VC1+( )VC2+u1, R3R1R3R1

1111

VC1+VC2+u2, R2R3R3R2

答

u2=i2R2+VC1 ⑤

案

VC1 u1

y=, ,则

u2 VC2

网

VC2=

aw.

0

x1 x + 1 2

C2R1

1

C1R2

0

u1 u , 2

1

iCdt=i1R1+u1 ④ C2∫2

com