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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
An Explicit Solution for Optimal Two-Player Decentralized Control over a TCP Erasure Channel with State Feedback
Decentralized Control over Explicit Solution
2015/6/19
We develop an optimal controller synthesis algorithm for decentralized control problems where control actions are transmitted through TCP-like erasure channels. We consider a simple two-player interco...
Explicit solution of axisymmetric stagnation flow towards a shrinking sheet by DTM-Pade
Differential transform method Padé Approximant
2010/11/1
In this letter, the differential transform method (DTM) is applied to the axisymmetric stagnation flow towards a shrinking sheet gives a system of nonlinear ordinary differential equations. The approx...
An Explicit Solution to the Chessboard Pebbling Problem
Chessboard pebbling reachable configurations asymptotics
2010/12/14
We consider the chessboard pebbling problem analyzed by Chung, Graham, Morrison and Odlyzko [3]. We study the number of reachable configurations G(k) and a related double sequence G(k,m). Exact expres...
An explicit solution for an optimal stopping/optimal control problem which models an asset sale
explicit solution optimal stopping/optimal control problem models asset sale
2010/12/20
In this article we study an optimal stopping/optimal control problem which models the decision facing a risk-averse agent over when to sell an asset. The market is incomplete so that the asset exposu...