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On the Input-Output Stability of Linear Controllable Systems

Published online by Cambridge University Press:  20 November 2018

Mihail Megan
Mihail Megan*
Affiliation:
University of Timisoara, Department of Mathematics, Bul. V. Párvan Nr. 41900-TlmişoaraR. S. Romania
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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

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 2 , 01 June 1978 , pp. 187 - 195
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Perron, O., Die Stabilitätsfrage der Differentialgleichungen, Math. Z., 32 (1930), 703-728.Google Scholar
2. Zadeh, L. A. and Desoer, C. A., Linear System Theory, McGraw-Hill, New York, 1963.Google Scholar
3. Brockett, R., Finite Dimensional Linear Systems, John Wiley, New York, 1970.Google Scholar
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. 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. Megan, M., On the stability of linear controllable systems in Hilbert spaces, Proc. Conf. Funct. Equations, Iassy, 1973.Google Scholar
7. Megan, M., Stabilitatea sistemelor liniare cu control în spaţii Hilbert, Seminarul de Ecuatfi Funcfionale Timişoara, 14 (1973).Google Scholar
8. Megan, M. and Hiriş, V., Controlabilitatea, Stabilitatea şi Optimizarea Sistemelor Liniare in Spafii Hilbert, Universitatea din Timişoara, 1975.Google Scholar
9. Reghi§, M., Asupra stabilitaţii neuniforme în spaţii generale Lucrările ştiintįface ale Inst. Pedag. Timişoara (1960), 153-169.Google Scholar
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. Megan, M. and Hiriş, V., On the space of linear controllable systems in Hilbert spaces, Glasnik Matematicki 10 (1975), 161–167.Google Scholar
12. Yosida, K., Functional Analysis, Springer Verlag, New York, 1967.Google Scholar