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Comparison theorems for set stability of differential equations |
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| Authors: | JAMES A HEINEN ANTHONY N MICHEL |
| Affiliation: | 1. Department of Electrical Engineering , Marquette University , Milwaukee, Wisconsin, 53233, U.S.A.;2. Department of Electrical Engineering , Iowa State University , Ames, Iowa, 50010, U.S.A.;3. Department of Electrical Engineering , Iowa State University , Ames, Iowa, 50010, U.S.A.;4. Department of Electrical Engineering , Marquette University , Milwaukee, Wisconsin, 53233, U.S.A. |
| Abstract: | Set stability and uniform set stability of differential equations involve known specific bounds on solutions of the differential equations under consideration. Comparison theorems are presented giving sufficient conditions for these forms of stability. The conditions include the existence of a Liapunov-Like function and the set stability of a scalar differential equation. Examples are given to demonstrate the method. |
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