A framework for the optimal sparse-control of the probability density function of a jump-diffusion process is presented. This framework is based on the partial integro-differential Fokker-Planck (FP) equation that gov...A framework for the optimal sparse-control of the probability density function of a jump-diffusion process is presented. This framework is based on the partial integro-differential Fokker-Planck (FP) equation that governs the time evolution of the probability density function of this process. In the stochastic process and, correspondingly, in the FP model the control function enters as a time-dependent coefficient. The objectives of the control are to minimize a discrete-in-time, resp. continuous-in-time, tracking functionals and its L2- and L1-costs, where the latter is considered to promote control sparsity. An efficient proximal scheme for solving these optimal control problems is considered. Results of numerical experiments are presented to validate the theoretical results and the computational effectiveness of the proposed control framework.展开更多
针对气象雷达系统任务过程安全性问题,以基于系统论的事故模型及过程(systems-theoretic accident model and process)理论方法为基础,提出了一种案例激励安全性分析方法。在进近阶段机载气象雷达任务过程中,通过构建系统分层控制结构,...针对气象雷达系统任务过程安全性问题,以基于系统论的事故模型及过程(systems-theoretic accident model and process)理论方法为基础,提出了一种案例激励安全性分析方法。在进近阶段机载气象雷达任务过程中,通过构建系统分层控制结构,识别系统任务过程中存在的不安全控制行为,并辨识与不安全控制行为关联的潜在危险致因;构建安全飞行控制结构模型,以达美航空事故为例,提出安全约束建议控制事故衍变机制来优化模型,以提高系统任务过程安全。以上分析表明,该方法能更全面地识别系统深层危险致因,为机载气象雷达的安全性设计提供技术支持。展开更多
文摘A framework for the optimal sparse-control of the probability density function of a jump-diffusion process is presented. This framework is based on the partial integro-differential Fokker-Planck (FP) equation that governs the time evolution of the probability density function of this process. In the stochastic process and, correspondingly, in the FP model the control function enters as a time-dependent coefficient. The objectives of the control are to minimize a discrete-in-time, resp. continuous-in-time, tracking functionals and its L2- and L1-costs, where the latter is considered to promote control sparsity. An efficient proximal scheme for solving these optimal control problems is considered. Results of numerical experiments are presented to validate the theoretical results and the computational effectiveness of the proposed control framework.
文摘针对气象雷达系统任务过程安全性问题,以基于系统论的事故模型及过程(systems-theoretic accident model and process)理论方法为基础,提出了一种案例激励安全性分析方法。在进近阶段机载气象雷达任务过程中,通过构建系统分层控制结构,识别系统任务过程中存在的不安全控制行为,并辨识与不安全控制行为关联的潜在危险致因;构建安全飞行控制结构模型,以达美航空事故为例,提出安全约束建议控制事故衍变机制来优化模型,以提高系统任务过程安全。以上分析表明,该方法能更全面地识别系统深层危险致因,为机载气象雷达的安全性设计提供技术支持。
