| タイトル | Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability |
| 著者（英） | Haddad, Wassim M.; Bernstein, Dennis S. |
| 著者所属（英） | NASA Headquarters |
| 発行日 | 1991-01-01
1991 |
| 言語 | eng |
| 内容記述 | Lyapunov function proofs of sufficient conditions for asymptotic stability are given for feedback interconnections of bounded real and positive real transfer functions. Two cases are considered: (1) a proper bounded real (resp., positive real) transfer function with a bounded real (resp., positive real) time-varying memoryless nonlinearity; and (2) two strictly proper bounded real (resp., positive real) transfer functions. A similar treatment is given for the circle and Popov theorems. Application of these results to robust stability with time-varying bounded real, positive real, and sector-bounded uncertainty is discussed. |
| NASA分類 | CYBERNETICS |
| レポートNO | 93A13191 |
| 権利 | Copyright |
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