Theoretical analysis demonstrates enhanced absolute stability criteria in Lur'e systems, indicating improved reliability for nonlinear control design.
The problem of absolute stability of Lur'e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing results. Simulations are given to illustrate the efficiency of the results.
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Liu et al. (2014) studied this question.
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