to stabilize and satisfactorily control the whole system S by using only local controllers about the individual subsystems without a knowledge of the manner of the actual interconnections of the whole system ? Sufficient conditions are obtained for such a result to hold true; in particular it is sho
The stability of a class of non-linear systems
โ Scribed by A.Yu Aleksandrov
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 291 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
โฆ Synopsis
The stability of the solutions of a certain class of non-linear systems is considered in the first approximation. The method of Lyapunov functions is used to obtain the sufficient conditions for stability with respect to all the variables and asymptotic stability with respect to part of lhe variables in the case when the first-approximation system is essentially non-linear.
๐ SIMILAR VOLUMES
## Sufficient conditions are obtained lo guarantee the asymptotic stability of a class of non-linear singularly perturbed systems. A procedure for consrructing a Lyapunov function for such a class of systems is given, and a clearly defined domain of attraction of the equilibrium is obtained. A sta
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