Linear Passive Networks: Functional Theory

sional realization theory," &YAM J. Cone., vol. 13, pp. 221-241, Jan. 1965. H. J. Sussmann, "Existence and uniqueness of minimal realizations of nonlinear systems-Part I: Initialized systems," J. Math. Syst. Theory, t o be published. , "Orbits of families of vector fields and integrability of systems with singularities," Bull. Amer. Math. Soc., vol. 79, pp. 197-199, 1973. P. Stefan, "Two proofs of Chow's theorem," in Ge0mem.c Methods in System Theory, D. Q. Mayne and R. W. Brockett, Eds. Dordrecht, Holland: Reidel, 1973. H. J. Sussmann, "On quotients of manifolds: A generalization of the closed subgroup theorem," J . Differential Geo., vol. 10, Mar. 1975. R. W. Brockett, "On the algebraic structure of bilinear systems," in Theory and Applications of Variable Srructure Systems, R. Mohler and A. Ruberti, Eds. New York: Academic Press, 197:; M. Fleiss, "Sur la rialization des systimes dynamiques biiiniares, C. R. Acad. Sc. Paris, vol. A-277, pp. 923-926, 1973. W. A. Porter, "An overview of polynornic system theory," this issue. R. W. Brockett, Finite Dimensional Linear Systems. New York: J. Wiley, 1970. (251 J. M. C. Clark, "An introduction to stochastic differential equations on manifolds," in Geometric Methods in System Theory, D. Q. Mayne and R. W. Brockett, Eds. Dordrecht, Holland: Reidel, 1973. [26] D. Elliott, "Diffusions on manifolds arising from controllable systems," in Geometric Methods in System Theory, D. Q . Mayne and R. W. Brockett, Eds. Dordrecht, Holland: Reidel, 1973. I271 -, "Controllable systems driven by vhi te noise," Ph.D. dissertation, Univ. of Calif., Los Angeles, 1969. [28] R. W. Brockett, "Lie theory and control systems defined on spheres," SZAM J. Appl. Math.,vol. 25, pp. 213-225, Sept. 1973. [29] L. Hijrmander, "Hypoelliptic second-order differential equations," Acta. Math., vol. 119, pp. 147-171, 1967. [30] J. T. Lo and A. Willsky, "Estimation for rotational processes with one degree of freedom-Parts 1-111," ZEEE Trans. Automat. Conrr., vol. 20, pp. 10-33, Feb. 1975. [31] I. M. Singer and J. A. Thorpe, Lecture Notes on Elementary Topology and Geometry. Glenview, Illinois: Scott, Foresman and Co., 1967. [32] L. Auslander and R. E. MacKenzie,Zntroduction to Differentiable. Manifolds. New York: McGraw-Hill, 1963.