We ha¨e in¨estigated the stabilizing effect of nonlinear gains on soliton transmission, making use of a modified nonlinear Schrodinger equation representing a system with nonlinear gain, and sol¨ing the equation numerically using the Fourier series analysis technique. We ha¨e found that in the prese
Dissipativity and nonlinear systems with finite power gain
β Scribed by P. M. Dower; M. R. James
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 258 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1049-8923
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β¦ Synopsis
In this paper we present a generalization of the concept of dissipativity to include systems which exhibit finite power gain. Included in this is a generalization of supply rate, available storage, and the integral and differential forms of the appropriate dissipation inequality. We show that under certain conditions, systems which are power dissipative are also stable in the sense that the trajectory is eventually bounded.
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