Stability of sets for impulsive systems
Journal Article
·
· International Journal of Theoretical Physics; (USA)
- Plovdiv Univ. (Bulgaria)
Problems related to the stability and asymptotic stability of sets of sufficiently general type with respect to impulse systems are considered. The research is done by means of piecewise continuous auxiliary functions which are an analogue of the classical Lyapunov functions. It is proved that the existence of such functions with certain properties is a sufficient condition for various types of stability and asymptotic stability of sets with respect to impulsive systems.
- OSTI ID:
- 5394257
- Journal Information:
- International Journal of Theoretical Physics; (USA), Journal Name: International Journal of Theoretical Physics; (USA) Vol. 28:2; ISSN 0020-7748; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FUNCTIONS
LYAPUNOV METHOD
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MATRICES
PERTURBATION THEORY
PULSES
RIEMANN SPACE
SET THEORY
SPACE
STABILITY
TOPOLOGICAL MAPPING
TRANSFORMATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FUNCTIONS
LYAPUNOV METHOD
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MATRICES
PERTURBATION THEORY
PULSES
RIEMANN SPACE
SET THEORY
SPACE
STABILITY
TOPOLOGICAL MAPPING
TRANSFORMATIONS