Abstract
A method is described for modeling of the property of survivability on the basis of functional-differential inclusions. A dynamic system is considered whose rate of change variously depends on its current state. The technique developed for ordinary problems of survivability is applied to problems of functional survivability of differential inclusions with memory.
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REFERENCES
N. A. Kononenko, Survivability, Redundancy, Adaptability of Systems, and Real Time (Words and Definitions) [in Russian], Politizdat, Moscow (1987).
A. G. Dodonov, M. G. Kuznetsov, and E. S. Gorbachuk, An Introduction to the Theory of Survivability of Computer Systems [in Russian], Naukova Dumka, Kiev (1990).
J.-P. Aubin, Viability Theory, Birkhauser, Boston-Basel-Berlin (1991).
V. S. Kirilyuk, “Mathematical theory of survivability,” Prepr. 89-54, IK NANU, Kiev (1989).
B. N. Pshenichnyi and V. V. Ostapenko, Differential Games [in Russian], Naukova Dumka, Kiev (1992).
V. V. Ostapenko, A. P. Yakovleva, and I. A. Shubenkova, “Modeling of the properties of survivability,” in: Theory of Computations, IK NANU (1999), pp. 276-280.
G. Haddad, “Monotone viable trajectories for functional differential inclusions,” J. Dif. Eqs., No. 42, 1-4 (1981).
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Yakovleva, A.P. The Problem of Survivability on Functional-Differential Inclusions. Cybernetics and Systems Analysis 36, 749–752 (2000). https://doi.org/10.1023/A:1009441209348
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DOI: https://doi.org/10.1023/A:1009441209348