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Finite-dimensional nonlinear output feedback dynamic games andbounds for sector nonlinearities

机译:有限尺寸非线性输出反馈动态博弈和扇区非线性界

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摘要

In general, nonlinear output feedback dynamic games are infinite dimensional. The paper treats a class of minimax games when the nonlinearities enter the dynamics of the unobservable states. An information state approach is introduced to recast these games as one of full information in infinite dimensions. Explicit solutions of the first-order partial differential information state equation are derived in terms of a finite-number of sufficient statistics. When the nonlinearities are sector bounded, suboptimal finite-dimensional strategies are derived
机译:通常,非线性输出反馈动态博弈是无限的。当非线性进入不可观测状态的动力学时,本文讨论了一类极大极小游戏。引入了一种信息状态方法,将这些游戏重铸为无限维度中的完整信息之一。根据有限数量的充分统计量,得出一阶偏微分信息状态方程的显式解。当非线性受扇区限制时,得出次优有限维策略

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