Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Observer-based boundary control of the sine-Gordon model energy   In this paper the output feedback energy control problem for the sine-Gordon
model is studied. An observer for the sine-Gordon equation and a speed-gradient
boundary control law for solving this problem are analysed. Explicit
inequalities on system's parameters ensuring the exponential decay of the
estimation error are obtained. Under an additional assumption the achievement
of the control goal is proved. The results of numerical experiments demonstrate
that the transient time in energy is close to the transient time in observation
error.

17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph