Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation-based Regret Analysis of Predictive Control in Linear Time
  Varying Systems   We study predictive control in a setting where the dynamics are time-varying
and linear, and the costs are time-varying and well-conditioned. At each time
step, the controller receives the exact predictions of costs, dynamics, and
disturbances for the future $k$ time steps. We show that when the prediction
window $k$ is sufficiently large, predictive control is input-to-state stable
and achieves a dynamic regret of $O(\lambda^k T)$, where $\lambda < 1$ is a
positive constant. This is the first dynamic regret bound on the predictive
control of linear time-varying systems. Under more assumptions on the terminal
costs, we also show that predictive control obtains the first competitive bound
for the control of linear time-varying systems: $1 + O(\lambda^k)$. Our results
are derived using a novel proof framework based on a perturbation bound that
characterizes how a small change to the system parameters impacts the optimal
trajectory.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat