For a particular class of planar dynamics that are linear with respect to the control variable, we show that the feedback strategy ''null-singular null'' is minimizing the maximum of a coordinate over infinite horizon, under a L 1 budget constraint on the control. Moreover, we characterize the optimal cost as a function of the budget. The proof is based on an unusual use of the clock form. This result generalizes the one obtained formerly for the SIR epidemiological model to more general Kolmogorov dynamics, that we illustrate on other biological models.
Global Convergence of Direct Policy Search for State-Feedback $\mathcal{H}_\infty$ Robust Control: A Revisit of Nonsmooth Synthesis with Goldstein Subdifferential
University of Illinois at Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校)
Impedance control of a cable-driven SEA with mixed $H_2/H_\infty$ synthesis
Institute of Robotics and Automatic Information Systems, Nankai University(机器人与自动信息系统研究所,南开大学);Tianjin Key Laboratory of Intelligent Robotics, Nankai University(天津智能机器人重点实验室,南开大学)
A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems
School of Engineering and Technology, University of New South Wales(新南威尔士大学工程与技术学院);School of Engineering, Australian National University(澳大利亚国立大学工程学院)