Transient response analysis of Lur'e systems using linear matrix inequalities
作者： P. Gurfil , M. Jodorkovsky
关键词: Condition number 、 Bounding overwatch 、 Upper and lower bounds 、 Algebraic number 、 Positive-definite matrix 、 Initial value problem 、 Linear matrix 、 Mathematical analysis 、 Mathematics 、 Transient response
摘要: In this paper, we consider a novel approach to the initial condition response (ICR) analysis of non-linear time-varying systems Lur'e type. To quantify transient behavior resulting from conditions, an ICR measure is defined. It shown that appropriate upper bound for can be calculated based upon number positive definite matrix, associated with quadratic Lyapunov function. Due particular structure systems, bounding transformed into minimization problem, constrained by either two simultaneous matrix inequalities or single algebraic Riccati inequality.
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