A sufficient condition for stability of a class of distributed-parameter systems is derived by use of Liapunov's direct method. This condition is not only sufficient but necessary for a restricted class of systems in which the accessory boundary value problem is self-adjoint. Two applications are gi
Stability conditions for a class of distributed-parameter systems
โ Scribed by Hiralal C. Khatri
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 587 KB
- Volume
- 291
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
Open-loop stability in the sense of bounded outputs for bounded inputs, and closed-loop asymptotic stability are considered for a class of distributed parameter systems. This class consists of systems whose dynamics can be represented by a transfer function which is the ratio of the multiple transforms (Hankel and Laplace) of output and input. The closed.loop stability criterion is similar to V. M. Popov's stability criterion for lumped.parameter systems.
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