Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonpathological ISS-Lyapunov Functions for Interconnected Differential
  Inclusions   This article concerns robustness analysis for interconnections of two
dynamical systems (described by upper semicontinuous differential inclusions)
using a generalized notion of derivatives associated with locally Lipschitz
Lyapunov functions obtained from a finite family of differentiable functions.
We first provide sufficient conditions for input-to-state stability (ISS) for
differential inclusions, using a class of non-smooth (but locally Lipschitz)
candidate Lyapunov functions and the concept of Lie generalized derivative. In
general our conditions are less conservative than the more common Clarke
derivative based conditions. We apply our result to state-dependent switched
systems, and to the interconnection of two differential inclusions. As an
example, we propose an observer-based controller for certain nonlinear two-mode
state-dependent switched systems.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph