References
- Atiyah, M., & Macdonald, I.G. (1969). Introduction to commutative algebra. Boston, MA: Addison-Wesley.
- Fuhrmann, P.A. (2002). A study of behaviors. Linear Algebra and its Applications, 351/352, 303–380.
- Fuhrmann, P.A., Rapisarda, P., & Yamamoto, Y. (2007). On the states of behaviors. Linear Algebra and its Applications, 424, 570–614.
- Geerts, A.H.W., & Schumacher, J.M. (1996). Impulsive-smooth behavior in multimode systems. Part I: State-space and polynomial representations. Automatica, 32, 747–758.
- Karampetakis, N.P. (2004). Descriptor realizations of autoregressive AR-representations. IMA Journal of Control Information, 21, 207–221.
- Kuijper, M. (1994). First order representations of linear systems. Boston, MA: Birkhäuser.
- Kuijper, M., & Schumacher, J.M. (1990). Realization of autoregressive equations in pencil and descriptor form. SIAM Journal on Control and Optimization, 28, 1162–1189.
- Lomadze, V. (1990). Finite-dimensional time-invariant linear dynamical systems: Algebraic theory. Acta Applicandae Mathematicae, 19, 149–201.
- Lomadze, V. (2007). State and internal variables of linear systems. Linear Algebra and its Applications, 425, 534–547.
- Lomadze, V. (2009). (Generalised) autoregressive models and their trajectories. International Journal of Control, 82, 1929–1936.
- Lomadze, V. (2010). State representations of ARMA-models. International Journal of Control, 83, 2091–2097.
- Lomadze, V. (2011). On homotopy and similarity in linear systems theory. Acta Applicandae Mathematicae, 116, 87–105.
- Lomadze, V. (2013). Duality in the behavioral systems theory. Automatica, 49, 1510–1514.
- Lomadze, V., & Mahmood, H. (2009). Smooth/impulsive linear systems: Axiomatic description. Linear Algebra and its Applications, 433, 1997–2009.
- Polderman, J.W., & Willems, J.C. (1998). Introduction to mathematical systems theory. New York, NY: Springer.
- Rapisarda, P., & van der Schaft A.J,. (2012). Canonical realizations by factorization of constant matrices. Systems and Control Letters, 61, 827–833.
- Rapisarda, P., & Willems, J.C. (1997). State maps for linear systems. SIAM Journal on Control and Optimization, 35, 1053–1091.
- Rosenthal, J., & Schumacher, J.M. (1997). Realization by inspection. IEEE Transactions on Automatic Control, 42, 1257–1263.
- Van der Schaft, A.J., & Rapisarda, P. (2011). State maps from integration by parts. SIAM Journal on Control and Optimization, 49, 2415–2439.
- Willems, J.C. (1986). From time series to linear system - Part I. Finite dimensional linear time invariant systems. Automatica, 22, 561–580.
- Willems, J.C. (1991). Paradigms and puzzles in the theory of dynamical systems. IEEE Transactions on Automatic Control, 36, 259–294.