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Analysis of nonlinear-nonquadratic discrete-time systems with /spl Lscr//sub 2/ and /spl Lscr//sub /spl infin// disturbances

机译:具有/ spl Lscr // sub 2 /和/ spl Lscr // sub / spl infin //干扰的非线性-非二次离散时间系统的分析

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摘要

A unified optimality-based framework is developed to address the problem of nonlinear-nonquadratic discrete time systems with bounded exogeneous disturbances. Specifically, a nonlinear discrete time system with bounded input disturbances and a nonlinear nonquadratic performance functional evaluated over the infinite horizon is considered. The performance functional is then evaluated in terms of a Lyapunov function to guarantee stability and dissipativity with respect to general supply rates.
机译:开发了一种统一的基于最优基于框架,以解决具有有界不均匀干扰的非线性 - 非分量离散时间系统的问题。具体地,考虑具有限定输入干扰的非线性离散时间系统和在无限地平线上评估的非线性非线性性能功能。然后根据Lyapunov函数评估性能功能,以确保相对于通用供应率的稳定性和耗散。

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