On an extension of homogeneity notion for differential inclusions
Abstract
The notion of geometric homogeneity is extended for differential inclusions. This kind of homogeneity provides the most advanced coordinate-free framework for analysis and synthesis of nonlinear discontinuous systems. Theorem of L. Rosier [1] on a homogeneous Lyapunov function existence and an equivalent notion of global asymptotic stability for differential inclusions are presented.
Domains
Automatic
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