We consider homogeneous density functions for proving almost globalattractivity of the zero equilibrium in a homogeneous system. It is shownthat the existence of such a function is guaranteed whenthe equilibrium is asymptotically stable, or in the more general case, whenthere exists a nonhomogeneous density function for the same systemsatisfying some reasonable conditions. Results related to robustness under nonhomogenizing perturbationsare also presented.

Original language | English |
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Title of host publication | Directions in Mathematical Systems Theory and Optimization ( Lecture Notes in Control and Information Sciences ; 286) |
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Publisher | Springer |
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Publication status | Published - 2003 |
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ISSN (Print) | 0170-8643 |
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