The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation delay-decomposition approach. less conservative criteria are obtained by constructing a new augmented Lyapunov–Krasovskii functional various inequalities, which presented in terms matrix inequalities (LMIs)....

In this paper, passivity analysis of fractional-order neutral-type fuzzy cellular bidirectional associative memory (BAM) neural networks with time-varying delays is investigated. Based on the Lyapunov–Krasovskii functional, delay-dependent sufficient conditions for solvability passive problem are obtained in terms linear matrix inequalities (LMIs), which can be easily checked by using MATLAB LM...

Within the worldline approach to quantum electrodynamics (QED), a change of photon's covariant gauge parameter $\xi$ is investigated analyse non-perturbative dependence configuration space fermion correlation functions, deriving generalization Landau-Kalatnikov-Fradkin transformations (LKFt). These reveal how position amplitudes can be absorbed into multiplicative exponential factor.

This paper addressed the robust stabilization performance of Takagi–Sugeno (T-S) fuzzy systems under a state feedback controller. To attain this, an integral inequality is proposed by rearranging quadratic matrix-vector form combined with Jensen’s to handle single terms obtained taking derivative concerned Lyapunov–Krasovskii functional. By employing this and using techniques, some improved del...

We consider a class of nonlinear second-order differential equations with constant delay and investigate qualitative properties the solutions, namely, global stability zero solution, eventually uniform boundedness existence periodic unique stationary oscillation considered equations. As far as technique proofs is concerned, we use Lyapunov–Krasovskii functional method second Lyapunov to prove o...

Magnetometers are widely used for LEO small satellites attitude determination and control system. In order to estimate satellite dynamics and control attitude accurately, scale factor and bias of magnetometer must be estimated. In this study a linear Kalman filter (LKF) based algorithm for the estimation of magnetometer biases and scale factors is proposed. Proposed algorithms are simulated thr...

In this paper, we are discuss about the issue of synchronization for singular complex dynamical networks with Markovian jumping parameters and additive time-varying delays through pinning control by Takagi-Sugeno (T-S) fuzzy theory.The complex dynamical systems consist of m nodes and the systems switch from one mode to another, a Markovian chain with glorious transition probabili...

This paper considers the synchronization in complex networks with coupling delays, whose topologies could be be symmetric and asymmetric. Differing from most works on the synchronization in complex networks with coupling delays, this paper only uses a positivelydefined function, which is definitely not a Krasovskii-Lyapunov function, to analyze the synchronization criteria. Further, we can deri...

The reachable set bounding estimation for distributed delay systems with disturbances is a new problem. In this paper,we consider this problem subject to not only time varying delay and polytopic uncertainties but also distributed delay systems which is not studied fully untill now. we can obtain improved non-ellipsoidal reachable set estimation for neural networks with time-varying delay by th...

The paper is concerned with the approximation of value function zero-sum differential game minimal cost, i.e., payoff functional determined by minimization some quantity along trajectory solutions continuous-time stochastic games stopping governed one player. Notice that auxiliary described Isaacs–Bellman equation additional inequality constraints. a parabolic PDE for case and it takes form sys...