Finite-time filtering for non-linear stochastic systems with partially known transition jump rates

Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays

“…In the existing literature of switched systems on finitetime control, it is commonly considered that only unstable subsystems are contained, see for example [12,13]. In this paper, we will study switched linear neutral systems with both stable and unstable subsystems, which are more general and practical.…”

“…The results related to the switched systems have also been reported by regarding all the subsystems being non-LAS but bounded under Lyapunov-Krasovskii functional framework. To mention a few, finite-time boundedness (stability) of switched systems are considered in [10,11], finite-time filtering and state observer design problems have been solved respectively in [12,13]. It is straightforward that, the existing scenarios of assuming all the subsystems being non-LAS have not adequately utilized mode-dependent properties, which will lead to conservativeness of the switching signals requirement.…”

tochastic Stability Analysis for Markovian Jump Neutral Nonlinear Systems

“…Meanwhile,the transition rates of MJSs are, in general, not completely accessible. Hence the problems of modeling, analysis and design on MJSs with partially transition rates have become an important and challenging issue, and attracted a lot of attentions, see for example, Shi et al (2012), Yin et al (2012), Luan et al (2010), ), Zhang et al (2011), Wang et al (2010 and the references therein. However, most theoretical results either have some strict limitations with regard to transition rates matrix, such as main diagonal elements are required, or have some conservatism for not fully utilizing the provided transition rates.…”

H∞ Estimation for Stochastic Time Delays in Networked Control Systems by Partly Unknown Transition Probabilities of Markovian Chains

“…There are a fair amount of work in this area in recent years [20,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]. Wang and his co-workers have studied similar problems under the missing measurement formulation in Refs.…”