A categorical approach to open and interconnected dynamical systems

C. E. Shannon, The theory and design of linear differential equation machines, National Defence Research Council, 1942

1942

Earlier work this paper cites.

J. Bénabou, Introduction to bicategories I. In Reports of the Midwest Category Seminar , Lecture Notes in Mathematics vol. 41, pp 1–77, Springer, 1967

1967

Earlier work this paper cites.

H. H. Rosenbrock, State Space and Multivariable Theory , Wiley, New York, 1970

1970

Earlier work this paper cites.

T. Kailath, Linear Systems , Prentice-Hall, New Jersey, 1980

1980

Earlier work this paper cites.

J. C. Willems, From time series to linear system—Part I. Finite dimensional linear time invariant systems, Automatica , vol. 22, no. 5, pp 561–580, 1986

1986

Earlier work this paper cites.

J. M. Schumacher, Transformations of linear systems under external equivalence, Linear Algebra and its Applications , vol. 102, pp 1–33, 1988

1988

Earlier work this paper cites.

J. C. Willems, Models for dynamics, Dynamics Reported, Volume 2 , eds. U. Kirchgraber and H. O. Walther, John Wiley & Sons Ltd and B. G. Teubner, 1989

1989

Cited alongside, same era.

U. Oberst, Multidimensional constant linear systems, Acta Applicandae Mathematicae , vol. 20, pp 1–175, 1990

1990

Cited alongside, same era.

A. Joyal, R. Street, The geometry of tensor calculus I, Advances in Mathematics , vol. 88, no. 1, pp 55–112, 1991

1991

Cited alongside, same era.

R. Jayawardene and O. Wyler, Categories of relations and functional relations, Applied Categorical Structures , vol. 8, no. 1, pp 279–305, 2000

2000

Cited alongside, same era.

R. Olfati-Saber, J.A. Fax and R.M. Murray, Consensus and cooperation in networked multi-agent systems, Proc. IEEE , vol. 96, no. 1, pp 215–233, 2007

2007

Cited alongside, same era.

J. C. Willems, The behavioural approach to open and interconnected systems: modeling by tearing, zooming, and linking, IEEE Control Systems Magazine , 2007

2007

Later among the works it cites.

F. Bonchi, P. Sobociński, F. Zanasi, A categorical semantics of signal flow graphs, CONCUR 2014 , LNCS 8704, pp 435–450, 2014

2014

Later among the works it cites.

J. C. Baez, J. Erbele, Categories in control, Theory and Applications of Categories , vol. 30, no. 24, pp 836–881, 2015

2015

Closest in time.

P.A. Fuhrmann and U. Helmke, The Mathematics of Networks of Linear Systems , Springer-Verlag, 2015

2015

Closest in time.

F. Zanasi, Interacting Hopf Algebras—the theory of linear systems, PhD Thesis, ENS Lyon, 2015

2015

Closest in time.