An upper bound for the singular perturbation parameter is found for the uniform asymptotic stability of singularly perturbed linear time-varying systems.
Asymptotic behaviour and boundedness of linear systems with time varying coefficients
β Scribed by S. Pradeep; S.K. Shrivastava
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 480 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0094-5765
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π SIMILAR VOLUMES
we study the asymptotic hehaviour in time of the solutions of a class of evolution equations whose simplest representative would be the Korteweg de Vries equation with variable coefficients. Specific rates of decay are given in either the "conservative" or the dissipative case.
We consider orthogonal polynomials {p n,N (x)} β n=0 on the real line with respect to a weight w(x) = e -NV (x) and in particular the asymptotic behaviour of the coefficients a n,N and b n,N in the three-term recurrence For one-cut regular V we show, using the Deift-Zhou method of steepest descent