| Title:
             | 
Pole placement for generalized MFD's (English) | 
| Author:
             | 
Christodoulou, Manolis A. | 
| Language:
             | 
English | 
| Journal:
             | 
Kybernetika | 
| ISSN:
             | 
0023-5954 | 
| Volume:
             | 
24 | 
| Issue:
             | 
2 | 
| Year:
             | 
1988 | 
| Pages:
             | 
98-109 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
34A99 | 
| MSC:
             | 
93B15 | 
| MSC:
             | 
93B50 | 
| MSC:
             | 
93B55 | 
| MSC:
             | 
93C05 | 
| MSC:
             | 
93C30 | 
| MSC:
             | 
93C35 | 
| MSC:
             | 
93D15 | 
| idZBL:
             | 
Zbl 0649.93027 | 
| idMR:
             | 
MR942377 | 
| . | 
| Date available:
             | 
2009-09-24T18:04:58Z | 
| Last updated:
             | 
2012-06-05 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/125131 | 
| . | 
| Reference:
             | 
[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 0635842 | 
| Reference:
             | 
[2] H. H. Rosenbrock, A. C. Pugh: Contributions to a hierarchical theory of systems.Internal. J. Control 19 (1974), 5, 845-867. Zbl 0286.93002, MR 0359888 | 
| Reference:
             | 
[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 0499.94035 | 
| Reference:
             | 
[4] R. Newcomb: The semistate description of nonlinear time variable circuits.IEEE Trans. Circuits and Systems CAS-28 (1981), 62-71. MR 0600763 | 
| Reference:
             | 
[5] D. Kendrick: On the Leontieff dynamic inverse.Quart. J. Econom. 86 (1972), 693-696. | 
| Reference:
             | 
[6] S. L. Campbell: Singular Systems of Differential Equations, Volume I.Pitman, London 1980. | 
| Reference:
             | 
[7] S. L. Campbell: Singular Systems of Differential Equations, Volume II.Pitman, London 1982. | 
| Reference:
             | 
[8] H. H. Rosenbrock: Structural properties of linear dynamical systems.Internat. J. Control 20 (1974), 191-202. Zbl 0285.93019, MR 0424303 | 
| Reference:
             | 
[9] D. G. Luenberger: Dynamic equations in descriptor form.IEEE Trans. Automat. Control AC-22 (1977), 312-321. Zbl 0354.93007, MR 0479482 | 
| Reference:
             | 
[10] D. G. Luenberger: Time invariant descriptor systems.In: Proc. JACC San Francisco, CA 1977, 725-730. | 
| Reference:
             | 
[11] M. A. Christodoulou: Analysis and Synthesis of Singular Systems.PhD Thesis, Dept. of Electrical Engineering, Univ. of Thrace 1984. | 
| Reference:
             | 
[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 0505.93013 | 
| Reference:
             | 
[13] G. Verghese: Infinite Frequency Behavior in Generalized Dynamical Systems.PhD Thesis, Dept. of Electrical Engineering, Stanford Univ. 1978. | 
| Reference:
             | 
[14] M. A. Christodoulou, B. G. Mertzios: Realization of singular systems via Markov parameters.Internat. J. Control 42 (1985), 6, 1433-1441. Zbl 0602.93015 | 
| Reference:
             | 
[15] M. A. Christodoulou: Realization of singular systems via Markov parameters and moments.Internat. J. Control 45 (1977), 1, 237-245. | 
| Reference:
             | 
[16] L. Pandolfi: Controllability and stabilization for linear systems of algebraic and differential equations.J. Optim. Theory Appl. 30 (1980), 601-620. Zbl 0397.93006, MR 0572159 | 
| Reference:
             | 
[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 0609248 | 
| Reference:
             | 
[18] D. Cobb: Controllability, observability and duality in singular systems.IEEE Trans. Automat. Control AC-29 (1984), 12, 1076-1082. MR 0771396 | 
| Reference:
             | 
[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 0893726 | 
| Reference:
             | 
[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. | 
| Reference:
             | 
[21] F. L. Lewis: Descriptor systems: Fundamental matrix, reachability and Observability matrices, subspaces.In: Proc. 23rd IEEE Conf. on Decision and Control, 1984. | 
| Reference:
             | 
[22] D. Cobb: Feedback and pole placement in descriptor variable systems.Internat. J. Control 33 (1981), 6, 1135-1146. Zbl 0464.93039, MR 0624176 | 
| Reference:
             | 
[23] V. A. Armentano: Eigenvalue placement for generalized linear systems.Systems Control Lett. 4 (1984), 199-202. Zbl 0538.93024, MR 0748282 | 
| Reference:
             | 
[24] F. L. Lewis, K. Ozcaldiran: The relative eigenstructure problem and descriptor systems.In: Proc. SIAM National Meeting, Denver, CO 1983. | 
| Reference:
             | 
[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. | 
| Reference:
             | 
[26] D. Cobb: Descriptor variable systems and optimal state regulation.IEEE Trans. Automat. Control AC-28 (1983), 12, 601-611. Zbl 0522.93036, MR 0712957 | 
| Reference:
             | 
[27] L. Pandolfi: On the regulator problem for linear degenerate control systems.J. Optim. Theory Applic. 33 (1981), 2, 241-254. Zbl 0421.93036, MR 0613895 | 
| Reference:
             | 
[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. | 
| Reference:
             | 
[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. | 
| Reference:
             | 
[30] M. A. Christodoulou: Decoupling in the design and synthesis of singular systems.Automatica 22 (1986), 2, 245-249. Zbl 0587.93017 | 
| Reference:
             | 
[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 0893727 | 
| Reference:
             | 
[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. Zbl 0638.93018, MR 0921977 | 
| Reference:
             | 
[33] T. Kailath: Linear Systems.Prentice Hall, Englewood Clifts, NJ 1980. Zbl 0454.93001, MR 0569473 | 
| Reference:
             | 
[34] S. H. Wang: Design of Linear Multivariable Systems.Memo No. ERL-M309, Electronics Research Laboratory, Univ. of California, Berkeley 1971. | 
| Reference:
             | 
[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 0245.93017 | 
| Reference:
             | 
[36] W. A. Wolovich, P. L. Falb: On the structure of multivariable systems.SIAM J. Control 7 (1969), 437-451. Zbl 0228.93004, MR 0261982 | 
| Reference:
             | 
[37] F. R. Gantmakher: The Theory of Matrices, Volume II.Chelsea, New York 1974. | 
| . |