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The problem of the robust stability and non-fragile control of closed-loop system is studied for the system with structured uncertainties both in plant and controller. Non-fragile robust stability and performance sensitivity of the closed-loop system with left coprime factor perturbations and right coprime factor perturbations are investigated respectively, and the sufficient conditions are given...
In this paper, we will study the robust stability of time delay systems. Under some proper assumptions, we give the edge theorem of time domain version for the delay systems with rank-one uncertainty, which extends the frequency domain edge theorem for delay systems to the time domain case.
In this paper, existences of real roots for the family of interval polynomials with one or two variables are discussed. We proved that for the family of interval polynomials with one variable, it has no real root if and only if four vertex point polynomials have no real root, and for the case of two variables, we just need to test whether eight polynomials have real root. This method will simplify...
This paper deals with the robust stability of time-invariant systems with delays. Using the frequency domain edge theorem developed by Fu, Olbrot and Polis (IEEE Tran. Automat. Contr. 34(1989), 813-820), which presents that the robust stability of a polytope generated by the convex combination of a number of quasipolynomials is equivalent to the stability of the edge quasipolynomials, the authors...
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