Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays

Robust finite-time H∞ control for uncertain switched neutral systems with mixed delays

“…0, if there exists a vector function g : ½0, r ! R n such that the integrations in equation (10) are well defined, then the following inequality holds…”

On designing H∞ fault estimator for switched nonlinear systems of neutral type

“…Both piecewise Lyapunov functional approach and multiple Lyapunov functional approach are used to stabilize the systems and determining switching rules. Most reported results on switched neutral systems focus on stability analysis and controller synthesis [29][30][31][32], while some other topics, such as fault detection, on this area are still open and challenging. To the authors' best knowledge, the problem of fault estimation for switched nonlinear neutral systems has not been investigated yet, which motivates the present study.…”

Stabilization of New Classes of Uncertain Systems∗∗The work was financed by RFFI (grant 14.01.00107a) and by SPbSU (grant 6.38.230.2015)

“…Kharitonov shows that the validness of Hurwitz condition for whole class of polynoms is provided by validness of this condition for four specially constructed polynoms. The issues of stability and stabilization of uncertain systems were discussed in Kwon and Park (2005), Gao et al (2007), Liu et al (2008), Kwon et al (2008), , , Qian et al (2009), Wang et al (2009), Kebriaei and Yazdanpanah (2010) and Kwon et al (2010) where it was assumed that the perturbation of certain elements of the plant matrix is uncertain.Systems where the plant matrix elements themselves are uncertain were examined in and Gelig and Zuber (2011). In this lecture stabilizing controls of uncertain systems are constructed.…”