LIf(dt] F(s)f-(0) ·积分定理 S 叫hF(s)f-(0)f-(0) (3)拉氏反变换 F(s)化成下列因式分解形式: F()=。)=+)+2)-(s+) A(S)(S+pu(s+p2).(S+P,) a.F(s)中具有不同的极点时,可展开为 F(s)= BO s) [(S+Pr) A(s) b.F(s)含有共扼复数极点时,可展开为 F(s)= asta (S+p(s+p2) s+p t p, B(S) A(S) (s+P1(s+P2) C.F(s)含有多重极点时,可展开为 F()=-b , a,l a (s+P1)(s+P1) (s+P1)(s+P,+) (S+P) b= B( (s+P1)]=n d b(s) 0(s+p1)]} ds A(s) b=1(B 八ds1A(s s) (s+p1)]} b B(s +P1)]} (r-l! ds-A(s 其余各个极点的留数确定方法与上同。20 ·积分定理  − = − s f s F s L f t dt ( ) (0) [ ( ) ] 1 s f s f s F s L f t dt ( ) (0) (0) [ ( ) ] 2 2 1 2 − − = − −  ⑶ 拉氏反变换 F(s)化成下列因式分解形式： ( )( ) ( ) ( )( ) ( ) ( ) ( ) ( ) 1 2 1 2 n m s p s p s p k s z s z s z A s B s F s + +  + + +  + = = a. F(s)中具有不同的极点时，可展开为 n n s p a s p a s p a F s + +  + + + + = 2 2 1 1 ( ) pk k pk s s A s B s a = + =− ( )] ( ) ( ) [ b. F(s)含有共扼复数极点时，可展开为 n n s p a s p a s p s p a s a F s + +  + + + + + + = 3 3 1 2 1 2 ( )( ) ( ) 1 1 ( )( )] ( ) ( ) [ ] [ 1 2 s p 1 p2 s p s p s A s B s a s + a =− = + + =− c. F(s)含有多重极点时，可展开为 ( ) ( ) ( ) ( ) ( ) ( ) 1 1 1 1 1 1 1 1 n n r r r r r r s p a s p a s p b s p b s p b F s + +  + + + + +  + + + + = + + − − 1 ( ) ] ( ) ( ) [ 1 s p r r s p A s B s b = + =− 1 1 1 ( ) ]} ( ) ( ) { [ s p r r s p A s B s ds d b − = + =− 1 1 ( ) ]} ( ) ( ) { [ ! 1 s p r j j r j s p A s B s ds d j b − = + =− 1 1 1 1 1 ( ) ]} ( ) ( ) { [ ( 1)! 1 s p r r r s p A s B s ds d r b − =− − + − = 其余各个极点的留数确定方法与上同