Zobrazeno 1 - 10
of 15 364
pro vyhledávání: '"Peet, A."'
The $H_2$ norm is a commonly used performance metric in the design of estimators. However, $H_2$-optimal estimation of most PDEs is complicated by the lack of state-space and transfer function representations. To address this problem, we re-character
Externí odkaz:
http://arxiv.org/abs/2411.01793
Autor:
Philbrook, Jackson, Peet, Benjamin
This paper investigates the impossibility of certain $({n^2+n+k}_{n+1})$ configurations. Firstly, for $k=2$, the result of \cite{gropp1992non} that $\frac{n^2+n}{2}$ is even and $n+1$ is a perfect square or $\frac{n^2+n}{2}$ is odd and $n-1$ is a per
Externí odkaz:
http://arxiv.org/abs/2404.17514
Autor:
Shivakumar, Sachin, Peet, Matthew
In this paper, we present solvable, convex formulations of $H_2$-optimal state estimation and state-feedback control problems for a general class of linear Partial Differential Equations (PDEs) with one spatial dimension. These convex formulations ar
Externí odkaz:
http://arxiv.org/abs/2403.08052
In this paper, we propose a novel method for addressing Optimal Control Problems (OCPs) with input-affine dynamics and cost functions. This approach adopts a Model Predictive Control (MPC) strategy, wherein a controller is synthesized to handle an ap
Externí odkaz:
http://arxiv.org/abs/2402.08148
Autor:
Jagt, Declan S., Peet, Matthew M.
Any suitably well-posed PDE in two spatial dimensions can be represented as a Partial Integral Equation (PIE) -- with system dynamics parameterized using Partial Integral (PI) operators. Furthermore, $L_2$-gain analysis of PDEs with a PIE representat
Externí odkaz:
http://arxiv.org/abs/2402.05061
Direct numerical simulations of turbulent pipe flow with transverse wall oscillation (WWO) and with no transverse wall oscillation (NWO) are carried out at friction Reynolds numbers Re{\tau} = 170, 360, and 720. The period and amplitude of the oscill
Externí odkaz:
http://arxiv.org/abs/2312.03232
Autor:
Jagt, Declan S., Peet, Matthew M.
A new representation is proposed for functions in a Sobolev space with dominating mixed smoothness on an $N$-dimensional hyperrectangle. In particular, it is shown that these functions can be expressed in terms of their highest-order mixed derivative
Externí odkaz:
http://arxiv.org/abs/2312.00028
Modern control theory provides us with a spectrum of methods for studying the interconnection of dynamic systems using input-output properties of the interconnected subsystems. Perhaps the most advanced framework for such input-output analysis is the
Externí odkaz:
http://arxiv.org/abs/2309.00516
Autor:
Peet, Lisa
Publikováno v:
Library Journal. Nov2024, Vol. 149 Issue 11, p12-25. 14p. 39 Color Photographs, 4 Charts.
Autor:
Peet, Lisa
Publikováno v:
Library Journal. Oct2024, Vol. 149 Issue 10, p22-26. 5p. 5 Color Photographs.