Geodesic
On the Input-Output Stability of Linear Controllable Systems
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 187-195

Voir la notice de l'article provenant de la source Cambridge University Press

The extension of bounded input, bounded output criteria of Perron [1] for the case of a linear control system A, B has been widely discussed (cf. e.g., references [2] to [10]). As is well known ([2]) the equation A 
Megan, Mihail. On the Input-Output Stability of Linear Controllable Systems. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 187-195. doi: 10.4153/CMB-1978-032-9
@article{10_4153_CMB_1978_032_9,
     author = {Megan, Mihail},
     title = {On the {Input-Output} {Stability} of {Linear} {Controllable} {Systems}},
     journal = {Canadian mathematical bulletin},
     pages = {187--195},
     year = {1978},
     volume = {21},
     number = {2},
     doi = {10.4153/CMB-1978-032-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-032-9/}
}
TY  - JOUR
AU  - Megan, Mihail
TI  - On the Input-Output Stability of Linear Controllable Systems
JO  - Canadian mathematical bulletin
PY  - 1978
SP  - 187
EP  - 195
VL  - 21
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-032-9/
DO  - 10.4153/CMB-1978-032-9
ID  - 10_4153_CMB_1978_032_9
ER  - 
%0 Journal Article
%A Megan, Mihail
%T On the Input-Output Stability of Linear Controllable Systems
%J Canadian mathematical bulletin
%D 1978
%P 187-195
%V 21
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-032-9/
%R 10.4153/CMB-1978-032-9
%F 10_4153_CMB_1978_032_9

[1] 1. Perron, O., Die Stabilitätsfrage der Differentialgleichungen, Math. Z., 32 (1930), 703-728. Google Scholar

[2] 2. Zadeh, L. A. and Desoer, C. A., Linear System Theory, McGraw-Hill, New York, 1963. Google Scholar

[3] 3. Brockett, R., Finite Dimensional Linear Systems, John Wiley, New York, 1970. Google Scholar

[4] 4. Haines, L. and Silverman, L. M., Internal and external stability of linear systems, J. Math. Anal. Appl. 21 (1968), 277-286. Google Scholar

[5] 5. Silverman, L. M. and Anderson, B. D. O., Controllability, observability and stability of linear systems, Siam. J. Control, 6 (1968), 121-130. Google Scholar

[6] 6. Megan, M., On the stability of linear controllable systems in Hilbert spaces, Proc. Conf. Funct. Equations, Iassy, 1973. Google Scholar

[7] 7. Megan, M., Stabilitatea sistemelor liniare cu control în spaţii Hilbert, Seminarul de Ecuatfi Funcfionale Timişoara, 14 (1973). Google Scholar

[8] 8. Megan, M. and Hiriş, V., Controlabilitatea, Stabilitatea şi Optimizarea Sistemelor Liniare in Spafii Hilbert, Universitatea din Timişoara, 1975. Google Scholar

[9] 9. Reghi§, M., Asupra stabilitaţii neuniforme în spaţii generale Lucrările ştiintįface ale Inst. Pedag. Timişoara (1960), 153-169. Google Scholar

[10] 10. Daletsky, J. L. and Krein, M. G., Stability of Solutions of Differential Equations in Banach Spaces, Nauka, Moscow, 1970, published in English by the American Mathematical Society. Google Scholar

[11] 11. Megan, M. and Hiriş, V., On the space of linear controllable systems in Hilbert spaces, Glasnik Matematicki 10 (1975), 161–167. Google Scholar

[12] 12. Yosida, K., Functional Analysis, Springer Verlag, New York, 1967. Google Scholar

Cité par Sources :