Multipliers for Stability and Power Gain in Lurye Systems

This paper investigates the use of dynamic multipliers for analyzing the stability and performance of Lurye systems, particularly those with slope-restricted nonlinearities. It extends existing methods by focusing on bounding the closed-loop power gain, which is crucial for noise sensitivity. The paper also revisits a class of multipliers for guaranteeing unique and period-preserving solutions, providing insights into their limitations and applicability. The work is relevant to control systems design, offering tools for analyzing and ensuring desirable system behavior in the presence of nonlinearities and external disturbances.

• •Dynamic multipliers can bound the closed-loop power gain in Lurye systems.
• •This approach is useful for analyzing noise sensitivity.
• •The paper revisits multipliers for unique and period-preserving solutions.
• •Limitations of the multipliers are discussed, particularly regarding frequency ranges.