Control of Nonlinear Systems with Bounded and Switching Controls

研究了一类具有有界切换控制函数的非线性系统的分析与控制问题。这样的系统应用于许多领域，如电力系统、航天器动力学和交换电网。要研究的问题包括可控性、可达性和最优控制问题，其中控制在有界控制函数的代价中线性出现，以及bang-bang控制系统的最小开关控制问题。本文将系统地研究线性解析二维系统和高维双线性系统的这些问题。

This research considers the analysis and control of a class of nonlinear systems with bounded and switching control functions. Such systems have application to a number of areas such as power systems, spacecraft dynamics and switched electrical networks. Problems to be studied include controllability, attainability and optimal control problems where the control appears linearly in the cost for bounded control functions and minimum switch control problems for bang-bang control systems. A systematic investigation of these problems for linear-analytic two dimensional systems and bilinear systems in higher dimensions will be investigated.