论文标题
关于有限和无限的时间莫基最佳控制问题的评论
Remarks on finite and infinite time-horizon optimal control problems
论文作者
论文摘要
在最佳控制问题的背景下解决了类似能量的成本功能的最小化。对于可能具有不稳定和非线性动力学的一般动态系统，这表明一系列有限的时间疗法最佳控制问题的解决方案近似于模拟无限时间疗法问题的解决方案。后者的解决方案和相应的最佳成本值函数不被假定为已知的A-PRIORI。给出了数值模拟，以验证了几个示例的理论发现，包括由普通和部分微分方程控制的系统。
The minimization of energy-like cost functionals is addressed in the context of optimal control problems. For a general class of dynamical systems, with possibly unstable and nonlinear free dynamics, it is shown that a sequence of solutions of finite time-horizon optimal control problems approximates a solution of the analog infinite time-horizon problem. The latter solution and corresponding optimal cost value function are not assumed to be known a-priori. Numerical simulations are presented validating the theoretical findings for several examples, including systems governed by both ordinary and partial differential equations.
