By Ronald R. Mohler

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1969. 4. Future fields of control application. NASA Symp. MIT, Cambridge, Massachusetts, February 10-11,1969. Available through Sci. and Tech. , Office of Technol. , 1969. 2. References 5. 6. 7. 8. 9. 10. 11. 12. 13. 19 Hsu, J. , and Meyer, A. ” McGraw-Hill, New York, 1968. Coddington, E. ” McGraw-Hill, New York, 1955. Bellman, R. ” McGraw-Hill, New York, 1953. ” Academic Press, New York, 1961. Aizerman, M. , and Gantmacher, F. ” Holden-Day, San Francisco, California, 1964. Zadeh, L. , and Desoer, C.

This statement needs qualification for points (uzo,u s0, .. 24) changes. Here two root surfaces intersect and the corresponding roots are complex at certain points in every neighborhood of (uzo,. 21) into a smooth, connected equilibrium surface in state space. Unlike the scalar case, these equilibrium surfaces are not necessarily disjoint, as will now be demonstrated for the phase-variable type of bilinear system. 4 Equilibrium Set of Bilinear Systems 37 Consider the bilinear system governed by a single differential equation With the usual phase variables x1 = x , x2 = 1,.

IFAC 4, 235-269 (1969). 20. , and Melsa, J. ” Academic Press, New York, 1971. 21. ,Mathematical models and identification of bilinear systems. R. Mohler and A. ). Academic Press, New York, 19. 1972. Balakrishnan, A. , Modeling and identification theory. R. Mohler and A. ). Academic Press, New York, 1972. 23. Lee, E. ” Wiley, New York, 1967. 22. 20 I Introduction 24. , On the mathematical models of bilinear systems. Ricerche Automat. 2, No. 1 (1971). 25. , Realization and structure theory of bilinear dynamical systems.

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