Michael Gil, "Exponential Stability of Nonautonomous Infinite Dimensional Systems," WSEAS Transactions on Mathematics, vol. 17, pp. 80-84, 2018, DOI:
Michael Gil. Exponential Stability of Nonautonomous Infinite Dimensional Systems.
WSEAS Transactions on Mathematics. 2018;17:80-84.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
Exponential Stability of Nonautonomous Infinite Dimensional Systems
Author:
Abstract: Let H be a Hilbert space with the unit operator I. We consider linear non-autonomous distributed parameter systems governed by the equation dy/dt = S(t)y + B(t)y (y = y(t), t > 0), where S(t) is an unbounded operator, such that for some constant c, S(t)+cI is dissipative; B(t) is an operator uniformly bounded on [0,∞), having a uniformly bounded derivative and commuting with S(t). Exponential stability conditions are established. An illustrative example is presented.
Pages: 80-84 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #12 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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