Controllability of second-order infinite-dimensional systems

IMA Journal of Mathematical Control and Information

Volumn 13, Issue 1, 1996, Pages 79-88

  Klamka, Jerzy ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; FREQUENCY DOMAIN ANALYSIS; LINEAR CONTROL SYSTEMS; VIBRATIONS (MECHANICAL);

SECOND ORDER INFINITE DIMENSIONAL SYSTEMS; VIBRATORY DYNAMICAL SYSTEMS;

CONTROLLABILITY;

EID: 0030106486     PISSN: 02650754     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamci/13.1.79     Document Type: Article

References (20)

1. BENSOUSSAN, A., DA PRATO, G., DELFOUR, M. C., & MITTER, S. K., 1993. Representation and control of infinite dimensional systems, vols I and II. Birkhäuser, Boston.
2. CHEN, G., & RUSSELL, D. L., 1982. A mathematical model for linear eleastic systems with structural damping. Quarterly of Applied Mathematics 39, 433-54.
3. CHEN, S., & TRIGGIANI, R., 1990. Gevrey class semigroup arising from elastic systems with gentle dissipation: the case 0 < α 1/2. Proceedings of the American Mathematical Society 100, 401-15.
4. CHEN, S., & TRIGGIANI, R., 1989. Proof of extension of two conjectures on structural damping for elastic systems. The case 1/2 ≤ α ≤1. Pacific Journal of Mathematics 136, 15-55.
5. CHEN, S., & TRIGGIANI, R., 1990. Characterization of domains of fractional powers of certain operators arising in elastic systems and applications. Journal of Differential Equations 88, 279-93.
6. HUANG, F., 1988. On the mathematical model for linear elastic systems with analytic damping. SIAM Journal on Control and Optimization 26, 714-24.
7. KLAMKA, J., 1991. Controllability of dynamical systems. Kluwer Academic Publishers, Dordrecht, The Netherlands.
8. KLAMKA, J., 1992. Approximate controllability of second order systems. Applied Mathematics and Computer Science 2, 135-46.
9. KLAMKA, J., 1993. Constrained controllability of linear retarded dynamical systems. Applied Mathematics and Computer Science 3, 647-72.
10. KLAMKA, J., 1993. Controllability of dynamical systems - a survey. Archives of Control Sciences 2, 281-307.
11. KOBAYASHI, T., 1992. Frequency domain conditions of controllability and observability for distributed parameter systems with unbounded control and observation. International Journal of Systems Science 23, 2369-76.
12. KUNIMATSU, N., & Ito, K., 1988. Stabilization of nonlinear distributed parameter vibratory systems, International Journal of Control 48, 2389-415.
13. NARUKAWA, K., 1982. Admissible controllability of one-dimensional systems with constrained controls. SIAM Journal on Control and Optimization 20, 770-82.
14. NARUKAWA, K., 1984. Complete controllability of one-dimensional vibrating system with bang-bang controls. SIAM Journal on Control and Optimization 22, 788-804.
15. O'BRIEN, R. E., 1979. Perturbation of controllable systems. SIAM Journal on Control and Optimization 17, 175-9.
16. TRIGGIANI, R., 1975. Controllability and observability in Banach space with bounded operator. SIAM Journal on Control and Optimization 13, 462-91.
17. TRIGGIANI, R., 1975. On the lack of exact controllability for mild solutions in Banach space. Journal of Mathematical Analysis and Applications 50, 438-46.
18. TRIGGIANI, R., 1976. Extensions of rank conditions for controllability and observability in Banach space and unbounded operators. SIAM Journal on Control and Optimization 14, 313-38.
19. TRIGGIANI, R., 1977. A note on the lack of exact controllability for mild solutions in Banach spaces. SIAM Journal on Control and Optimization 15, 407-11.
20. TRIGGIANI, R., 1978. On the relationship between first and second order controllable systems in Banach spaces. SIAM Journal on Control and Optimization 16, 847-59.