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  1. No Access

    Article

    The Bang–Bang Property of Time-Varying Optimal Time Control for Null Controllable Heat Equation

    In this paper, we consider bang–bang property for a kind of time-varying time optimal control problem of null controllable heat equation. The study is a continuation of a recent work (Chen et al. in Syst Contr...

    Dong-Hui Yang, Bao-Zhu Guo, Weihua Gui… in Journal of Optimization Theory and Applica… (2019)

  2. No Access

    Article

    Optimal actuator location for time and norm optimal control of null controllable heat equation

    We consider minimal time and minimal norm of the optimal controls for a multi-dimensional internally controlled heat equation with control domain varying over a class of open sets. Two problems are formulated ...

    Bao-Zhu Guo, Dong-Hui Yang in Mathematics of Control, Signals, and Systems (2015)

  3. No Access

    Article

    On nodal line of the second eigenfunction of the Laplacian over concave domains in ℝ2

    In this note, the Payne’s conjecture from convex domains to concave domains is generalized. It is shown that the nodal line N of the second eigenfunction of the Laplacian over some simply connected concave domain...

    Dong-Hui Yang, Bao-Zhu Guo in Journal of Systems Science and Complexity (2013)