This paper is concerned with linear stochastic Hamiltonian (LSH) systems subject to random external forces. Their dynamics are modelled by linear stochastic differential equations, parameterised by stiffness, mass, damping and coupling matrices. A class of physical couplings is discussed for such systems using inerters, springs and dampers. We consider a problem of minimising a steady-state quadratic cost functional over the coupling parameters for the interconnection of two LSH systems, one of which plays the role of an analog controller. For this mean square optimal control-by-interconnection setting, we outline first-order necessary conditions of optimality which employ variational methods developed previously for constrained linear quadratic Gaussian control problems.
Port-Hamiltonian Systems with Dissipation Potential: Modelling and Trajectory Tracking Control
School of Ocean Engineering and Technology, Sun Yat-sen University（中山大学海洋工程学院）；Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai)（南方海洋科学与工程广东省实验室（珠海））；Zhuhai Research Center, Hanjiang National Laboratory（汉江国家实验室珠海研究中心）；Guangdong Provincial Key Laboratory of Information Technology for Deep Water Acoustics（广东省深水声学信息技术重点实验室）
Total Energy Shaping with Neural Interconnection and Damping Assignment -- Passivity Based Control
Jan C. Willems Center for Systems and Control（扬·C·维勒姆斯系统与控制中心）；Engineering and Technology Institute Groningen (ENTEG)（格罗宁根工程与技术研究所（ENTEG））；Rijksuniversiteit Groningen（格罗宁根大学）
Robust integral action of port-Hamiltonian systems
The University of Newcastle（纽卡斯尔大学）；University of Naples Federico II（那不勒斯费德里科二世大学）；Queensland University of Technology（昆士兰科技大学）；Laboratoire des Signaux et Systèmes, CNRS-SUPELEC（信号与系统实验室，法国国家科学研究中心-苏佩莱克）
