Investigating stability using nonlinear quasihomogeneous approximation to differential equations with impulsive action
Journal Article
·
· Sbornik. Mathematics
- Hadmark University College (Norway)
Inverse theorems to Lyapunov's direct method are established for quasihomogeneous systems of differential equations with impulsive action. Conditions for the existence of Lyapunov functions satisfying typical bounds for quasihomogeneous functions are obtained. Using these results, we establish conditions for an equilibrium of a nonlinear system with impulsive action to be stable, using the properties of a quasihomogeneous approximation to the system. The results are illustrated by an example of a large-scale system with homogeneous subsystems. Bibliography: 30 titles. (paper)
- OSTI ID:
- 22365113
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 6; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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