In this article, our objective is to develop novel passivity-based control techniques by introducing a new passivity concept named Krasovskii passivity . As preliminary step, we investigate the properties of Krasovskii passive systems and establish relations among four relevant concepts includi...

The existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result.

In this paper, the stability analysis and control design of Takagi–Sugeno (TS) fuzzy systems subject to uncertain time-delay are addressed. The proposed approach is based on linear matrix inequalities and the Lyapunov–Krasovskii theory, where a new fuzzy weighting-dependent Lyapunov–Krasovskii functional is introduced. By employing the Gu discretization technique and strategies to add slack mat...

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...

This contribution is concerned with the robust stability analysis for linear systems with time-varying delay arising from networked control systems. The time-varying delay is supposed to be bounded and fast-varying. By constructing a new complete Lyapunov-Krasovskii functional, delay-dependent robust stability conditions are derived in terms of Linear Matrix Inequalities. The derivative of the ...

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...

This paper deals with the asymptotic stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Based on the Lyapunov–Krasovskii functional including the triple integral terms and free weighting matrices approach, a novel delay-decomposition stability criterion is obtained. The main idea of the proposed method is to divide each delay interval into two equal segment...

a general notion of completely monotone functionals on an ordered banach algebra b into a proper h*-algebra a with an integral representation for such functionals is given. as an application of this result we have obtained a characterization for the generalized completely continuous monotone functions on weighted foundation semigroups. a generalized version of bochner’s theorem on foundation se...

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...