syslin linear system definition [sl]=syslin(dom,A,B,C [,D [,x0] ]) [sl]=syslin(dom,N,D) [sl]=syslin(dom,H) dom character string ('c', 'd'), or [] or a scalar. A,B,C,D matrices of the state-space representation (D optional with default value zero matrix). For improper systems D is a polynomial matrix. x0 vector (initial state; default value is 0) N, D polynomial matrices H rational matrix or linear state space representation sl tlist ("syslin" list) representing the linear system syslin 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 undefined State-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. tlist lsslist rlist ssrand ss2tf tf2ss dscr abcd