Talk abstract:

An Algebraic Geometric Point of View to Linear Systems Theory

M.S. Ravi
Department of Mathematics
East Carolina University
Greenville, NC 27858
U.S.A.
msravi@math.ecu.edu

In joint work with Rosenthal, Schumacher and Lomadze we have introduced an expanded class of behaviors in Linear systems theory, that correspond to certain constructions in algebraic geometry. We will describe these objects with special emphasis on the alegbraic geometry of these behaviors.

We shall also provide an algebro-geometric perspective to some of the convolutional codes constructed by Rosenthal and his coworkers inspired by the linear behaviors described above.

References:

1. Lomadze, V., Ravi, M.S., Rosenthal, J. and Schumacher, J.M.: A Behavioral approach to Singular systems, Acta Appl. Math. (1998) Vol. 54, pp. 331-344.

2. Ravi, M.S., Rosenthal, J. and Schumacher, J.M.: Homogeneous Behaviors, MCSS (1997) Vol. 10, pp. 61-75.

3. Rosenthal, J., Schumacher, J.M. and York, E.: On behaviors and convolutional codes, IEEE Trans. Inform. Theory (1996), Vol. 42, pp. 18881-1891.

4. Rosenthal, J. and Smarandache, R.: Maximum distance separable convolutional codes, to appear in AAECC.

Back to Codes, Systems and Graphical Models

1998-1999 Mathematics in Biology