ZigangPan/LinearSystems | Paclet Repository

ZigangPan`LinearSystems`

systemblockdiagonal

systemblockdiagonal [ system 1 , system 2 ]
	returns the composite system that combines system1 and system2 block diagonally, whose inputs are the joined list of inputs of system1 and system2 and outputs are the joined list of outputs of system1 and system2 . See the illustration below.

Examples

(1)

Basic Examples

(1)

In[1]:=

system={{x1,x2,x3},{u11,u12,w11,w12},{y11,y12,z11,z12},{{-1,2,0,0,0,0,1},{-2,-1,1,1,1,1,0},{-1,-2,-3,-1,1,1,1},{1,0,0,0,0,1,0},{0,1,0,0,0,0,1},{1,0,0,0,0,0,0},{0,1,0,0,0,0,0}},{1,2},{1,2},{1,2},{3,4},{1,2},{3,4}};

In[2]:=

system1={{x1},{u21,w21},{y21,z21},{{-1,1,2},{1,0,1},{1,0,0}},{1},{1},{1},{2},{1},{2}}

Out[2]=

{{x1},{u21,w21},{y21,z21},{{-1,1,2},{1,0,1},{1,0,0}},{1},{1},{1},{2},{1},{2}}

In[3]:=

systemoperation



systemblockdiagonal

[system,system1],{"View"}

Active							a1	a2			a3
	Type		s1	s2	s3	s4	c1	c2	d1	d2	c3	d3
		names	x11	x21	x31	x12	u11	u12	w11	w12	u21	w21
	s1	x11	-1	2	0	0	0	0	0	1	0	0
	s2	x21	-2	-1	1	0	1	1	1	0	0	0
	s3	x31	-1	-2	-3	0	-1	1	1	1	0	0
	s4	x12	0	0	0	-1	0	0	0	0	1	2
a1	m1	y11	1	0	0	0	0	0	1	0	0	0
a2	m2	y12	0	1	0	0	0	0	0	1	0	0
	c1	z11	1	0	0	0	0	0	0	0	0	0
	c2	z12	0	1	0	0	0	0	0	0	0	0
a3	m3	y21	0	0	0	1	0	0	0	0	0	1
	c3	z21	0	0	0	1	0	0	0	0	0	0

Out[3]=

{{x11,x21,x31,x12},{u11,u12,w11,w12,u21,w21},{y11,y12,z11,z12,y21,z21},{{-1,2,0,0,0,0,0,1,0,0},{-2,-1,1,0,1,1,1,0,0,0},{-1,-2,-3,0,-1,1,1,1,0,0},{0,0,0,-1,0,0,0,0,1,2},{1,0,0,0,0,0,1,0,0,0},{0,1,0,0,0,0,0,1,0,0},{1,0,0,0,0,0,0,0,0,0},{0,1,0,0,0,0,0,0,0,0},{0,0,0,1,0,0,0,0,0,1},{0,0,0,1,0,0,0,0,0,0}},{1,2,5},{1,2,5},{1,2,5},{3,4,6},{1,2,5},{3,4,6}}

In[4]:=

system3=