This paper considers the stability of hybrid dynamic systems in the sense of Lyapunov. Necessary and su$cient conditions are derived which require only the Lyapunov function to be nonincreasing only along one subsequence of the `switchinga.
Stability of hybrid simulation of dynamic systems
โ Scribed by J.S. Allison; H.M. Johnson
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 850 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0378-4754
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โฆ Synopsis
This note analyses the problem of stability of hybrid simulation of dynamic systems. Time delays and sample-and-hold operations do cause serious stability problems, and it frequently happens that considerable time and effort are wasted because instability is not known in advance of programming the simulation on the hybrid computer.
However, if the system under investigatiofl can be approximated in its response by an equivalent linear system, then it is possible to define a procedure which will predict in advance whether any proposed computing scheme is stable.
The text describes one such procedure, together with its implementation as a software package which can be used to predict the stability of simulations of practical size.
In addition, the text contains a number of examples which illustrate the application of the software package.
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