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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Choice-based Availability Controls for Urban Carsharing Revenue Management
选择 城市 拼车收益管理 可用性控制
2023/5/16
Urban carsharing services provide flexible, affordable and green mobility options where customers can pick up a car from one station and return it to the same station (round trip) or any other station...
Stochastic differential games involving impulse controls and double-obstacle quasi-variational inequalities
Stochastic differential game Impulse control Quasi-variational inequality Viscosity solution
2012/6/25
We study a two-player zero-sum stochastic differential game with both players adopting impulse controls, on a finite time horizon. The Hamilton-Jacobi-Bellman-Isaacs (HJBI) partial differential equati...
Hamilton-Jacobi Equations and Two-Person Zero-Sum Differential Games with Unbounded Controls
Two-person zero-sum differential games unbounded control Hamilton-Jacobi equation viscosity solution
2011/8/25
Abstract: A two-person zero-sum differential game with unbounded controls is considered. Under proper coercivity conditions, the upper and lower value functions are characterized as the unique viscosi...
How Geometry Controls the Tearing of Adhesive Thin Films on Curved Surfaces
Geometry Controls Curved Surfaces Adhesive Thin Films Tearing
2011/7/7
Flaps can be detached from a thin film glued on a solid substrate by tearing and peeling. For flat substrates, it has been shown that these flaps spontaneously narrow and collapse in pointy triangular...
Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls
optimal control existence conditions elliptic equations homogenization
2011/1/18
An optimal control problem governed by semilinear elliptic partial differential equations is con-sidered. The equation is in divergence form with the leading term containing controls. By studying the ...
Weak Optimal Controls in Coefficients for Linear Elliptic Problems
degenerate elliptic equations control in coefficients
2011/2/21
In this paper we study an optimal control problem associated to a linear degenerate elliptic equation with mixed boundary conditions. The equations of this type can exhibit the Lavrentieff phenomenon ...
Exponential stabilizability of linear systems with multiple delays on states and controls
Exponential stabilizability Multiple delays
2010/9/17
Exponential stabilizability of linear control systems with multiple delays on states and controls is studied in this paper. Based on the Lyapunov method, we establish new criteria that ensure the expo...