The problems on global dissipativity and global exponential dissipativity are investigated for uncertain discrete-time neural networks with time-varying delays and general activation functions. By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality technique, several new delay-dependent criteria for checking the global dissipativity and global exponen...

This paper addresses a novel spherical formation tracking control problem of multiple UAVs with time-varying delays in the directed communication network, where dynamics each UAV is non-holonomic and presence spatiotemporal flowfields. The state constraints (that is, position velocity constraints) are derived from our previous differential geometry method F–S formulas. time network bring many d...

This paper is concerned with the stability analysis problems of linear systems time-varying delays using integral inequalities. To reduce conservatism criteria obtained Lyapunov-Kraosvksii approach, there has been a growing tendency to utilize various quadratic functions in construction Lyapunov-Krasovskii functionals. Consequently, inequalities also have played key roles derive guaranteeing ne...

The construction of Lyapunov–Krasovskii functionals with prescribed time derivative in the framework of the stability analysis of time delay systems has been addressed in several works, starting with the contributions of Repin (1965) and Datko (1971). In the past decade, this topic has been revisited by Kharitonov and Zhabko (2003), with the so-called functionals of complete type whose time der...

In this work, novel stability results for load frequency control (LFC) system considering time-varying delays, nonlinearly perturbed load, and disturbance of parameters are proposed by using proportional-integral strategy. Considering the exogenous disturbance, an improved criterion in form linear matrix inequalities (LMIs) is derived simple Lyapunov–Krasovskii functionals (LKFs). The delay-dep...

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 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 ...

functionals were discovered and used by volterra over a century ago in his study of the motions of viscous elastic materials and electromagnetic fields. the need to precisely account for the qualitative effects of the cohesion and shape of the domains of these functionals was the major impetus to the development of the branch of mathematics known as topology, and today large numbers of mathemat...

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.

This paper studies the problem of asymptotically stability for neural networks with time-varying delays.By establishing a suitable Lyapunov-Krasovskii function and several novel sufficient conditions are obtained to guarantee the asymptotically stability of illustrate the effectiveness of the proposed main results. Keywords—Neural networks, Lyapunov-Krasovskii, Time-varying