Abstract The robust $$H_\infty$$ H ∞ observer-based control design is addressed here for non-linear Takagi-Sugeno (T-S) fuzzy systems with time-varying delays, subject to uncertainties and external disturbances. This motivated by the quadruple-tank time delay problem. o...

Abstract In this paper, the periodic signal tracking and disturbance rejection problems are considered for a class of time-varying delay nonlinear systems with unknown exogenous disturbances under limited communication resources. The Takagi–Sugeno (T-S) fuzzy model is used to approximate system. developed scheme achieves reference improves performance aperiodic effectiveley. This can be operate...

This paper examines the unified dissipative performance of Offshore Steel Jacket Platforms (OSJPs) which include actuator failures and probabilistic delays, through a resilient reliable sampled-data controller. In detail, random variables fetching Bernoulli distribution are treated in particular for stochastic time-delays. By implementing Lyapunov–Krasovskii functions(LKF) together with Second ...

The paper is devoted to stability analysis of discrete-time time-delay systems, obtained after explicit Euler discretization (locally) homogeneous continuous-time models. results are derived by applying the Lyapunov--Krasovskii theory. A generic structure functional given that suits for any system nonzero degree (and it can also be used dynamics admitting a approximation). conditions utilized d...

This paper examines the problem of improved fixed-time stability for generalized delayed fractional-order systems (FOSs). As a first step, some conditions are presented in two theorems to verify (F-TS) FOSs by using Lyapunov theory and indefinite functionals, where derivative functions may not exist. Furthermore, corresponding estimated settling time is also provided. Second, results extended s...

The problem of the stability of a linear system with an interval time-varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time-varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on ...

Many genetic regulatory networks (GRNs) have the capacity to reach different stable states. This capacity is defined as multistability which is an important regulation mechanism. Multiple time delays and multivariable regulation functions are usually inevitable in such GRNs. In this paper, multistability of GRNs is analyzed by applying the control theory and mathematical tools. This study is to...

In this paper, a basic property that a Liapunov-Krasovskii functional must have when used for studying the stability of time delay systems under Carath¶eodory conditions is studied. This property concerns the equality, almost everywhere, of the upper right-hand Dini derivative of the Liapunov-Krasovskii functional evaluated at the solution, and of the Liapunov-Krasovskii derivative (computed by...

This paper analyzes changes in the treatment patterns of inpatients due to the effects of the new Austrian performance-oriented inpatient payment system (LKF-system) introduced in 1997. The primary variables of interest are the inpatients’ length of stay (LOS) and the associated reimbursement points (LKF-points). We applied regression models to investigate treatment patterns of inpatients with ...