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首页> 外文期刊>Automatic Control, IEEE Transactions on >Delay-Integral-Quadratic Constraints and Stability Multipliers for Systems With MIMO Nonlinearities
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Delay-Integral-Quadratic Constraints and Stability Multipliers for Systems With MIMO Nonlinearities

机译:MIMO非线性系统的时滞-积分-二次约束和稳定性乘数

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摘要

The formula for stability multipliers for systems with MIMO nonlinearities is derived using the method of delay-integral-quadratic constraints. The results, applicable to both time-invariant and time-periodic systems, are then used to derive a solution for a special case of a nonlinear regulation problem and a criterion for stability of forced oscillations. A linear time-periodic system is considered to illustrate the difference between the delay-integral-quadratic constraints that yield stability criteria in multiplier form and those that do not.
机译:利用时滞积分二次约束方法,推导了MIMO非线性系统的稳定性乘数公式。然后将适用于时间不变和时间周期系统的结果用于导出非线性调节问题的特殊情况的解决方案和强制振荡稳定性的标准。考虑使用线性时间周期系统来说明产生乘数形式的稳定性标准的延迟-积分-二次约束与不产生乘积形式的稳定性标准之间的差异。

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