Pole placement for generalized MFD's

Christodoulou, Manolis A.

Kybernetika, Tome 24 (1988) no. 2, pp. 98-109

Détail

Classification : 34A99, 93B15, 93B50, 93B55, 93C05, 93C30, 93C35, 93D15

Bibliographie

[1] G. C. Verghese B. C. Lévy, T. Kailath: A generalized state space for singular systems. IEEE Trans. Automat. Control AC-26 (1981), 4, 811-830. | MR

[2] H. H. Rosenbrock, A. C. Pugh: Contributions to a hierarchical theory of systems. Internal. J. Control 19 (1974), 5, 845-867. | MR | Zbl

[3] B. Dziurla, R. W. Newcomb: The Drazin inverse and semi-state equations. In: Proc. 4th Int. Symp. Math. Theory of Networks and Systems, Delft, The Netherlands 1979, 283-289. | Zbl

[4] R. Newcomb: The semistate description of nonlinear time variable circuits. IEEE Trans. Circuits and Systems CAS-28 (1981), 62-71. | MR

[5] D. Kendrick: On the Leontieff dynamic inverse. Quart. J. Econom. 86 (1972), 693-696.

[6] S. L. Campbell: Singular Systems of Differential Equations, Volume I. Pitman, London 1980.

[7] S. L. Campbell: Singular Systems of Differential Equations, Volume II. Pitman, London 1982.

[8] H. H. Rosenbrock: Structural properties of linear dynamical systems. Internat. J. Control 20 (1974), 191-202. | MR | Zbl

[9] D. G. Luenberger: Dynamic equations in descriptor form. IEEE Trans. Automat. Control AC-22 (1977), 312-321. | MR | Zbl

[10] D. G. Luenberger: Time invariant descriptor systems. In: Proc. JACC San Francisco, CA 1977, 725-730.

[11] M. A. Christodoulou: Analysis and Synthesis of Singular Systems. PhD Thesis, Dept. of Electrical Engineering, Univ. of Thrace 1984.

[12] G. Verghese, T. Kailath: Impulsive behavior in dynamical systems: Structure and significance. In: Proc. 4th Symp. Math. Theory of Networks and Systems, Delft, The Netherlands 1979. | Zbl

[13] G. Verghese: Infinite Frequency Behavior in Generalized Dynamical Systems. PhD Thesis, Dept. of Electrical Engineering, Stanford Univ. 1978.

[14] M. A. Christodoulou, B. G. Mertzios: Realization of singular systems via Markov parameters. Internat. J. Control 42 (1985), 6, 1433-1441. | Zbl

[15] M. A. Christodoulou: Realization of singular systems via Markov parameters and moments. Internat. J. Control 45 (1977), 1, 237-245.

[16] L. Pandolfi: Controllability and stabilization for linear systems of algebraic and differential equations. J. Optim. Theory Appl. 30 (1980), 601-620. | MR | Zbl

[17] E. I. Yip, R. F. Sincorec: Solvability, controllability and observability of continuous descriptor systems. IEEE Trans. Automat. Control AC-26 (1981), 139-147. | MR

[18] D. Cobb: Controllability, observability and duality in singular systems. IEEE Trans. Automat. Control AC-29 (1984), 12, 1076-1082. | MR

[19] K. Ozcaldiran: A geometric characterization of the reachable and controllable subspaces of descriptor systems. J. Circuits Syst. and Signal Proc. 5 (1986), 1, 37-48. | MR

[20] F. L. Lewis, K. Ozcaldiran: Reachability and controllability for descriptor systems. In: Proc. 27th Midwest Symp. on Circuits and Systems, Morgantown, WV 1984, 690-695.

[21] F. L. Lewis: Descriptor systems: Fundamental matrix, reachability and Observability matrices, subspaces. In: Proc. 23rd IEEE Conf. on Decision and Control, 1984.

[22] D. Cobb: Feedback and pole placement in descriptor variable systems. Internat. J. Control 33 (1981), 6, 1135-1146. | MR | Zbl

[23] V. A. Armentano: Eigenvalue placement for generalized linear systems. Systems Control Lett. 4 (1984), 199-202. | MR | Zbl

[24] F. L. Lewis, K. Ozcaldiran: The relative eigenstructure problem and descriptor systems. In: Proc. SIAM National Meeting, Denver, CO 1983.

[25] F. L. Lewis, K. Ozcaldiran: On the eigenstructure assignment of singular systems. In: Proc. 24th IEEE Conf. on Decision and Control, Ft. Lauderdale, FL 1985, 179-182.

[26] D. Cobb: Descriptor variable systems and optimal state regulation. IEEE Trans. Automat. Control AC-28 (1983), 12, 601-611. | MR | Zbl

[27] L. Pandolfi: On the regulator problem for linear degenerate control systems. J. Optim. Theory Applic. 33 (1981), 2, 241-254. | MR | Zbl

[28] F. L. Lewis: Preliminary notes on optimal control for singular systems. In: Proc. 24th IEEE Conf. Decision and Control, Ft. Lauderdale, FL 1985, 266-272.

[29] D. J. Bender, A. J. Laub: The linear quadratic optimal regulator for descriptor systems. In: Proc. 24th IEEE Conf. on Decision and Control, Ft. Lauderdale, FL 1985, 957-962.

[30] M. A. Christodoulou: Decoupling in the design and synthesis of singular systems. Automatica 22 (1986), 2, 245-249. | Zbl

[31] B. G. Mertzios, M. A. Christodoulou: Decoupling and pole placement of singular systems with dynamic state feedback. J. Circuits Syst. and Signal Proc. 5 (1986), 1, 49-68. | MR

[32] B. G. Mertzios, M. A. Christodoulou: Decoupling and pole placement in singular systems using state and output feedback. J. Franklin Inst. 325 (1988), 1-15. | MR | Zbl

[33] T. Kailath: Linear Systems. Prentice Hall, Englewood Clifts, NJ 1980. | MR | Zbl

[34] S. H. Wang: Design of Linear Multivariable Systems. Memo No. ERL-M309, Electronics Research Laboratory, Univ. of California, Berkeley 1971.

[35] W. A. Wolovich: The determination of state-space representations for linear multivariable systems. In: Proc. 2nd IFAC Symp. on Multivar. Tech. Control Systems, Düsseldorf, W. Germany 1971. | Zbl

[36] W. A. Wolovich, P. L. Falb: On the structure of multivariable systems. SIAM J. Control 7 (1969), 437-451. | MR | Zbl

[37] F. R. Gantmakher: The Theory of Matrices, Volume II. Chelsea, New York 1974.