To controller design and stability analysis for nonlinear Networked Control Systems (NCSs) with timevarying delay, based on the Takagi–Sugeno (T-S) fuzzy model, a controller design scheme was proposed to achieve desired control performance for nonlinear NCSs via state feedback. According to the Lyapunov method, the sufficient condition for the existence of the control law was presented. Simulat...

Time-delay frequently occurs in many practical systems, such as chemical processes, manufacturing systems, long transmission lines, telecommunication and economic systems, etc. Since time-delay is a main source of instability and poor performance, the control problem of time-delay systems has received considerable attentions in literature, such as [1][9]. The design approaches adopt in these li...

In this paper, we prove that every metric line in the Poincare ball model of hyperbolic geometry is exactly a classical line of itself. We also proved nonexistence of periodic lines in the Poincare ball model of hyperbolic geometry.

This paper focuses on the tracking control problem for a family of fractional-order systems with unknown drift functions and time delays. By employing fuzzy logic (FLSs), are approximated compensated. Meanwhile, help hyperbolic tangent function sign function, adverse effects time-varying delays FLSs approximation error mitigated simultaneously. It should be stressed that proposed method elimina...

The fuzzy H∞ filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying with no restrictions on the delay derivative . A novel Lyapunov-Krasovskii functional is employed and a tighter upper bound of its deriv...

In this paper we illustrate the LU representation of fuzzy numbers and present an LU-fuzzy calculator, in order to explain the use of the LU-fuzzy model and to show the advantage of the parametrization. The model can be applied either in the level-cut or in generalized LR frames. The hand-like fuzzy calculator has been developed for the MSWindows platform and produces the basic fuzzy calculus: ...

This paper focuses on the non-fragile guaranteed cost control problem for a class of T-S fuzzy time-varying delay systems with local bilinear models. The objective is to design a non-fragile guaranteed cost state feedback controller via the parallel distributed compensation (PDC) approach such that the closed-loop system is delay-dependent asymptotically stable and the closed-loop performance i...

in this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the takagi-sugeno (t-s) fuzzy models is considered. a novel linear matrix inequality (lmi)-based stability criterion is obtained by using lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

Problems of stability and H∞ control for discrete-time T-S fuzzy systems with state delay and uncertainties are discussed. A new delay-dependent stability criterion is first proposed by defining an appropriate Lyapunov function. Then, the sufficient conditions for the existence of H∞ fuzzy state-feedback controller is investigated in terms of linear matrix inequality(LMI). Finally, an iterative...