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This paper extends in a simple way the classical absolute stability Popov criterion to multivariable rational systems with time-varying memoryicss nonhnearities subject to sea or conditions. The proposed sufficient conditions are expressed in terms of easy-to-checkLinear Matrix Inequalities, or under il. frequency-domain form well-suited for robustness issues, and lead to simple graphical interpretations...
In general, existing model reduction techniques for stable nonlinear systems lack a guarantee on stability of the reduced-order model, as well as an error bound. In this paper, a model reduction procedure for absolutely stable Lur'e-type systems is presented, where conditions to ensure absolute stability of the reduced-order model as well as an error bound are given. The proposed model reduction procedure...
This paper establishes sufficient conditions for absolute stability of time-varying control systems. The proposed conditions extend in a simple way the classical Popov criterion to time-varying memoryless nonlinearities, using previous results of Kharitonov. They are expressed in terms of linear matrix inequalities (LMIs). A weaker frequency domain criterion is deduced, leading to a simple graphical...
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