Identification of positive linear systems with Poisson output transformation

Positive systems are systems in which the input/state/output variables are always positive since they represent quantities. We propose an identification procedure for a class of positive linear systems.

[1]  Luca Benvenuti,et al.  An example of how positivity may force realizations of ‘large’ dimension , 1999 .

[2]  David H. Anderson Compartmental Modeling and Tracer Kinetics , 1983 .

[3]  K.-H. Förster,et al.  Nonnegative realizations of matrix transfer functions , 2000 .

[4]  Luca Benvenuti,et al.  Minimal Discrete-Time Positive Realizations of Transfer Functions With Positive Real Poles , 2000 .

[5]  T. Rydén Parameter Estimation for Markov Modulated Poisson Processes , 1994 .

[6]  T. Kitano,et al.  Positive realization of discrete-time systems by geometric approach , 1998 .

[7]  C. Byrnes,et al.  Systems and Control in the Twenty-First Century , 1997 .

[8]  Gilbert G. Walter,et al.  Compartmental modeling with networks , 1999 .

[9]  San-qi Li,et al.  On the convergence of traffic measurement and queueing analysis: a statistical-matching and queueing (SMAQ) tool , 1997, TNET.

[10]  B. Anderson,et al.  Nonnegative realization of a linear system with nonnegative impulse response , 1996 .

[11]  J. Jacquez Compartmental analysis in biology and medicine , 1985 .

[12]  Y. Ohta,et al.  Reachability, Observability, and Realizability of Continuous-Time Positive Systems , 1984 .

[13]  Brian D. O. Anderson,et al.  New Developments in the Theory of Positive Systems , 1997 .

[14]  李幼升,et al.  Ph , 1989 .

[15]  S. Rinaldi,et al.  Positive Linear Systems: Theory and Applications , 2000 .

[16]  Lorenzo Farina,et al.  Is a system representable as a compartmental system? , 1997, 1997 European Control Conference (ECC).

[17]  George Finlay Simmons,et al.  Introduction to Topology and Modern Analysis , 1963 .

[18]  Jacoba Marchiena van den Hof,et al.  System theory and system identification of compartmental systems , 1996 .

[19]  Mike Boyle,et al.  The spectra of nonnegative matrices via symbolic dynamics , 1991 .

[20]  and Charles K. Taft Reswick,et al.  Introduction to Dynamic Systems , 1967 .

[21]  L. Farina On the existence of a positive realization , 1996 .

[22]  Brian D. O. Anderson,et al.  Minimal positive realizations of transfer functions with positive real poles , 2000 .

[23]  J. Nieuwenhuis When to call a linear system nonnegative , 1998 .

[24]  梶谷 文彦,et al.  Compartmental analysis : medical applications and theoretical background , 1984 .