Stability of discrete systems near a multivalued equilibrium

Journal Article · Sun Jan 01 00:00:00 EST 1995 · Cybernetics and Systems Analysis

OSTI ID:441167

Kuntsevich, V M; Pokotilo, V G

The main objective of this article is to derive sufficient conditions of stability in the small for ensembles of trajectories of nonlinar discrete systems near multivalued equilibria. The stability conditions are expressed in terms of a linearized system, and we examine the effect of the structure of invariant sets near which the behavior of the system is investigated. On the one hand, this approach provides a clearer picture of the specific features of multivalued systems and, on the other hand, it produces results that characterize stability of analogs of periodic motion.

• OSTI ID: 441167
• Journal Information: Cybernetics and Systems Analysis, Vol. 30, Issue 3; Other Information: PBD: Jan 1995; TN: Translated from Kibernetika i Sistemnyi Analiz; No. 3, 78-87(May-Jun 1994)
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
TRAJECTORIES
STABILITY
FUNCTIONALS
EQUATIONS
EQUILIBRIUM