Numerical approach to the non-linear diofantic equations with applications to the controllability of infinite dimensional dynamical systems

International Journal of Control

Volumn 78, Issue 13, 2005, Pages 1017-1030

  Respondek, J ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONTROLLABILITY; DIFFERENTIAL EQUATIONS; OPTIMIZATION;

APPROXIMATE CONTROLLABILITY; INFINITE DIMENSIONAL SYSTEM;

NONLINEAR EQUATIONS;

EID: 27944502941     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170500197605     Document Type: Article

References (22)

1. R.F. Brammer, "Differential controllability and the solution of linear inequalities", IEEE Transactions on Automatic Control, 20, pp. 128-131, 1975.
2. A.G. Butkowskij, Charakteristiki sistiem s raspriedieliennymy parametrami. sprawocznoje posobie, Nauka, Moskwa 1979. Gławnaja Redakcja fizyko-matematiczeskoj literatury. (in Russian)
3. C.T. Chen, Introduction to Linear System Theory, New York: Holt, Rinehart and Winston Inc., 1970.
4. G. Chen and D.L. Russel, "A mathematical model for linear elastic systems with structural damping", Quaterly of Applied Mathematics, 39, pp. 433-454, 1982.
5. G. Chen and R. Triaggani, "Gevrey class semigroup arising from elastic systems with gentle dissipation: the case 0 < α < 1/2", Proceedings of the American Mathematical Society, 100, pp. 401-415, 1990.
6. E.J. Davison and S.H. Wang, "New results on the controllability and observability of general composite systems", IEEE Transactions on Automatic Control, 20, pp. 123-128, 1975.
7. N. Dunford and J. Schwartz, Linear Operators, Vol. 1 and 2, New York: Interscience, 1963.
8. H.O. Fattorini, "Some remarks on complete controllability", SIAM Journal on Control and Optimization, 4, pp. 686-694, 1966.
9. H.O. Fattorini, "On complete controllability of linear systems", Journal of Differential Equations, 3, pp. 391-402, 1967.
10. F. Huang, "On the mathematical model with analytic damping", SIAM J. Control Optimization, 26, pp. 714-724, 1988.
11. K. Ito and N. Kunimatsu, "Stabilization of non-linear distribuded parameter vibratory system", International Journal of Control, 48, pp. 2389-2415, 1988.
12. K. Ito and N. Kunimatsu, "Semigroup model of structurally damped timoshenko beam with boundary input", International Journal of Control, 54, pp. 367-391, 1991.
13. R.E. Kalman, "On the general theory of control systems", in Proceedings I IFAC Congress, London, 1960, pp. 481-493.
14. J. Klamka, Controllability of Dynamical Systems, Dordrecht: Kluwer, 1991.
15. W. Mitkowski, Stabilizacja Systemów Synamicznych, Warszawa: WNT, 1991 (in Polish).
16. J. Respondek, "Controllability of dynamical systems with constraints", Systems and Control Letters, 54, pp. 293-314, 2005.
17. Y. Sakawa, "Controllability for partial differential equations of parabolic type", SIAM Journal on Control and Optimization, 12, pp. 389-400, 1974.
18. Y. Sakawa, "Feedback control of second order evolution equations with damping", SIAM Journal Control and optimisation, 22, pp. 343-361, 1984.
19. Y. Sakawa, "Feedback stabilization of linear diffusion system", SIAM J. Control an Optimization, 21, pp. 667-675, 1983.
20. W.E. Schmitendorf and B.R. Barmish, "Null controllability of linear system with constrained controls", SIAM Journal on Control and Optimization, 18, pp. 327-345, 1980.
21. R. Triggiani, "Controllability and observability in banach space with bounded operators", SIAM Journal on Control and Optimization, 13, pp. 462-491, 1975.
22. L.A. Zadeh and C.A. Desoer, Linear System Theory. The State Space Approach, New York: McGraw-Hill, 1963.