The article analyzes a linear mechanical system with large parameter at the vector of velocity forces and distributed delay in positional forces. With aid decomposition method, conditions are obtained under which problem stability analysis original second-order differential equations can be reduced to studying two auxiliary first-order subsystems. It should noted that one subsystems does not co...

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

We give an overview of how the Riccati equation makes its appearance in the stability analysis of linear systems with delays. We avoid complexities as time-invariance, added perturbations, distributed delays etc, to get to the main issues. Most generalizations can be or have been carried out, but do not add substantially to our understanding. We also show the connection between quadratic stabil...

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...

In this study, we introduce the topic for exponential stability criterion of delayed linear system via intermittent feedback control. Utilizing concept fundamental control is designed as continuous-time controller to generate open-loop predictions states, foreseeing behavior in future over time-varying delay defined (2.2). The open loop trajectory would declare set I(t) into a closed-loop For n...

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 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 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 ...