Stability of a Class of Differential Inclusions |
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| Authors: | Phil Diamond Valery Opoitsev |
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| Affiliation: | (1) Department of Mathematics, University of Queensland, Brisbane, Queensland, 4072, Australia;(2) Department of Mathematics, University of Queensland, Brisbane, Queensland, 4072, Australia |
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| Abstract: | Stability of differential inclusions
 F(x(t)) is studied by using minorant and majorant mappings F
– and F
+, F
–(x) F(x)F
+(x). Properties of F
–,F
+ are developed in terms of partial orderings, with the condition that F
–, F
+ are either heterotone or pseudoconcave. The main results concern asymptotically stable absorbing sets, including the case of a single equilibrium point, and are illustrated by examples of control systems. |
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| Keywords: | stability robust control inclusions |
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