A reversible system of ordinary differential equations (ODE) possessing some first integrals is considered. A simple description of the first integral space is given. It is shown that, under the auxiliary assumption that the integrals are symmetric (i.e., they do not change sign under the action of
Stabilization of positive systems with first integrals
β Scribed by Patrick De Leenheer; Dirk Aeyels
- Book ID
- 108307244
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 136 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0005-1098
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π SIMILAR VOLUMES
We consider stabilization of equilibrium points of positive linear systems which are in the interior of the ΓΏrst orthant. The existence of an interior equilibrium point implies that the system matrix does not possess eigenvalues in the open right half plane. This allows to transform the problem to t
Several additional possibilities of the Routh-Lyapunov method for isolating and analysing the stationarity sets of dynamical systems admitting of smooth first integrals are discussed. A procedure is proposed for isolating these sets together with the first integrals corresponding to the vector field