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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Real-time tool path planning using deep learning for subtractive manufacturing
深度学习 减材制造 实时刀具 路径规划
2023/4/25
Tool path planning is a crucial factor of computer-aided design and manufacturing (CAD/CAM). To generate suitable tool paths, the previous methods often transform the problem into local or global opti...
Convex dwell-time characterizations for uncertain linear impulsive systems
Impulsive systems dwell-time looped-functionals stability robustness
2012/5/9
New sufficient conditions for the characterization of dwell-times for linear impulsive systems are proposed and shown to coincide with continuous decrease conditions of a certain class of looped-funct...
Time-Inconsistent Optimal Control Problems and the Equilibrium HJB Equation
time-inconsistent optimal control problem equilibrium value function equilibrium Hamilton Jacobi-Bellman equation
2012/4/18
A general time-inconsistent optimal control problem is considered for stochastic differential equations with deterministic coefficients. Under suitable conditions, a Hamilton-Jacobi-Bellman type equat...
Continuous-time distributed convex optimization on directed graphs
Continuous-time convex optimization directed graphs Optimization and Control
2012/4/17
This paper studies the continuous-time distributed optimization of a sum of convex functions over directed graphs. Contrary to what is known in the consensus literature, where the same dynamics works ...
Online over time scheduling on unbounded p-batch machines to minimize the makespan: A survey
operation sresearch online scheduling parallel-batch machines makespan competitive ratio
2011/11/14
Online scheduling is a rapidly developed branch in scheduling theory. In the research of online scheduling, makespan minimization on unbounded parallel-batch machines is a fruitful area. In this paper...
Single machine scheduling with processing time functions of starting time or position
operations research scheduling single machine processing time function time dependent
2011/11/14
In this paper, two single machine scheduling models with general processing time functions are considered. Job's processing time is assumed to be basic processing time adds a function of starting time...
Convergence results in continuous-time quantized consensus
Convergence results continuous-time quantized consensus Optimization and Control
2011/9/15
Abstract: This note studies a network of agents having continuous-time dynamics with quantized interactions and time-varying topology. We show that under a mild connectivity condition, the agents reac...
Minimum-Time Quantum Transport with Bounded Trap Velocity
Minimum-Time Quantum Transport Bounded Trap Velocity Optimization and Control
2011/8/30
Abstract: We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system wit...
Some Results on the Solutions of Caputo Fractional Linear Time-Invariant Systems of any order with Internal Point Delays
Caputo fractional calculus Riemann- Liouville fractional calculus Positive solutions and systems
2010/12/9
This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynami...
Minimal-time bioremediation of natural water resources
Environmental engineering biotechnology waste treatment continuous systems
2010/12/13
We study minimal time strategies for the treatment of pollution of large volumes, such as lakes
or natural reservoirs, with the help of an autonomous bioreactor. The control consists in feeding the b...
A sufficiency class for global (in time) solutions to the 3D Navier-Stokes equations II
Global (in time) 3D-Navier-Stokes Equations
2010/12/7
In this paper, we simplify and extend the results of [GZ] to in-clude the case in which = R3. Let [L2(R3)]3 be the Hilbert space of square integrable functions on R3 and let H[R3]3 =: H be the comple...
Transversality Conditions for Higher Order Infinite Horizon Discrete Time Optimization Problems
Transversality condition Dynamic optimiza-tion Infinite horizon Higher order difference problems
2010/4/28
In this paper, we examine higher order difference problems. Using the "squeezing" argument, we derive both Euler's condition and the transversality condition. In order to derive the two conditions, tw...
Characterizing Multi-Scale Self-Similar Behavior and Non-Statistical Properties of Financial Time Series
Non-stationary Time Series Wavelet Transform Fractals Power Law
2010/4/27
We make use of wavelet transform to study the multi-scale, self similar behavior and deviations thereof, in the stock prices of large companies, belonging to different economic sectors. The stock mark...
Exit times in non-Markovian drifting continuous-time random walk processes
continuous-time random walks non-Markovian processes exit times
2010/4/27
By appealing to renewal theory we determine the equations that the mean exit time of a continuous-time random walk with drift satisfies both when the present coincides with a jump instant or when it d...