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R.W. Brockett and A.S. Willsky, "Finite Group Homomorphic Sequential Systems," IEEE Trans. on Automatic Control, Vol. AC-17, No. 4, August 1972, pp. 483–490.
R.W. Brockett, "System Theory on Group Manifolds and Coset Spaces," SIAM Journal on Control, Vol. No. 2, 1972, pp. 265–284.
C.W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, N.Y., 1962.
M. Hausner and J.T. Schwartz, Lie Groups; Lie Algebras, Gordon Breach, N.Y., 1970.
A. Isidori, "Direct Construction of Minimal Bilinear Realizations from Nonlinear Input/Output Maps," IEEE Trans. on Automatic Control, Vol. AC-18, No. 3, December 1973, pp. 626–631.
M.A. Arbib and E.G. Manes, "Adjoint Machines, State-Behavior Machines, and Duality," COINS Technical Report 73B-1, Dept. of Computer and Information Science, University of Massachusetts at Amherst, Jan. 1973.
A.S. Willsky, Dynamical Systems Defined on Groups: Structural Properties and Estimation, Ph.D. Thesis, Dept. of Aeronautics and Astronautics, M.I.T., Cambridge, Mass., June 1973.
A.S. Willsky, "Invertibility Conditions for a Class of Finite State Systems Evolving on Groups," Proc. of the Eleventh Annual Allerton Conference, Univ. of Illinois, Oct. 3–5, 1973.
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© 1975 Springer-Verlag Berlin Heidelberg
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Brockett, R.W., Willsky, A.S. (1975). Some structural properties of automata defined on groups. In: Manes, E.G. (eds) Category Theory Applied to Computation and Control. Lecture Notes in Computer Science, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07142-3_69
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DOI: https://doi.org/10.1007/3-540-07142-3_69
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