Strong stability of impulsive systems
Journal Article
·
· Int. J. Theor. Phys.; (United States)
The strong stability of the zero solution of impulsive systems with impulses at fixed moments of time is investigated. It is proved that the existence of piecewise continuous functions with certain properties is a necessary and sufficient condition for the strong stability of the zero solution of such systems. By using differential inequalities for piecewise continuous functions, sufficient conditions for the strong stability of the zero solution are found.
- Research Organization:
- Univ. of Plovdiv (Bulgaria)
- OSTI ID:
- 6309534
- Journal Information:
- Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:6; 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
DIFFERENTIAL EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FUNCTIONS
LYAPUNOV METHOD
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
PERTURBATION THEORY
RIEMANN SPACE
SPACE
STABILITY
TIME DEPENDENCE
TOPOLOGICAL MAPPING
TRANSFORMATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FUNCTIONS
LYAPUNOV METHOD
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
PERTURBATION THEORY
RIEMANN SPACE
SPACE
STABILITY
TIME DEPENDENCE
TOPOLOGICAL MAPPING
TRANSFORMATIONS