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Details for article 9 of 12 found articles
| Title: |
Piecewise-quadratic and piecewise-linear Lyapunov functions for discontinuous systems |
| Author: |
Weissenberger, Stein |
| Appeared in: |
International journal of control |
| Paging: | Volume 10 (1969) nr. 2 pages 171-180 |
| Year: |
1969-08-01 |
| Contents: |
This paper develops necessary and sufficient conditions for the existence of Lyapunov functions of tho Lur'e type (' piecewise-quadratic ') for relay-control systems and gives explicit formulae- for 'optimum 'functions of this form for estimating regions of asymptotic stability in special cases, comparing these with results of numerical optimization. Certain similarities and advantages of 'piecewise-linear 'Lyapunov functions are discussed. Among their benefits is algebraic simplification which allows one to compute ranges of time varying and non-linear parameters which preserve asymptotic stability in a given region in the state space; an example of this type is given. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 9 of 12 found articles
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