$LastChangedDate$syslinlinear system definitionCalling Sequence[sl]=syslin(dom,A,B,C [,D [,x0] ])
[sl]=syslin(dom,N,D)
[sl]=syslin(dom,H)Argumentsdomcharacter string ('c',
'd'), or [] or a
scalar.A,B,C,Dmatrices of the state-space representation
(D optional with default value zero matrix). For
improper systems D is a polynomial matrix.x0vector (initial state; default value is
0)N, Dpolynomial matricesHrational matrix or linear state space representationsltlist ("syslin" list) representing the
linear systemDescriptionsyslin defines a linear system as a list and
checks consistency of data.dom specifies the time domain of the system and
can have the following values:dom='c' for a continuous time system,
dom='d' for a discrete time system,
n for a sampled system with sampling period
n (in seconds).dom=[] if the time domain is undefinedState-space representation:represents the system :The output of syslin is a list of the following
form:
sl=tlist(['lss','A','B','C','D','X0','dt'],A,B,C,D,x0,dom)
Note that D is allowed to be a polynomial matrix
(improper systems).Transfer matrix representation:The output of syslin is a list of the following
form : sl = rlist(N,D,dom) or
sl=rlist(H(2),H(3),dom).Linear systems defined as syslin can be
manipulated as usual matrices (concatenation, extraction, transpose,
multiplication, etc) both in state-space or transfer
representation.Most of state-space control functions receive a
syslin list as input instead of the four matrices
defining the system.ExamplesSee Also
tlist
lsslist
rlist
ssrand
ss2tf
tf2ss
dscr
abcd