Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrosov's theorem using a family of auxiliary functions: an analysis
  tool to aid time-varying nonlinear control design   We present a new result on uniform attractivity of the origin for nonlinear
time-varying systems. Our theorem generalizes Matrosov's theorem which extends,
in a certain manner, Krasovskii-LaSalle invariance principle to the case of
general nonlinear time-varying systems. We show the utility of our theorem by
addressing a control problem of port interconnected driftless systems. The
latter includes as special case, the control of chained-form nonholonomic
systems which has been extensively studied in the literature.

14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg