In this paper, we investigate the nonlinear dynamics of connected vehicle systems in presence of time delays, which may arise due to human reaction time and/or due to intermittency and packet drops in wireless communication. Stability conditions are derived by using the Lyapunov-Krasovskii theory. A generalized frequency response function is also developed to characterize the input-output respo...

In this paper, the stability problem is studied for a class of Markovian jump neutral nonlinear systems with time-varying delay. By Lyapunov-Krasovskii function approach, a novel mean-square exponential stability criterion is derived for the situations that the systems transition rates are completely accessible, partially accessible and non-accessible, respectively. Moreover, the developed stab...

In this article, we characterize the global asymptotic and exponential stability of nonlinear switching retarded systems through direct converse Lyapunov-Krasovskii theorems. Thanks to these theorems, a link between an unforced system input-to-state property is obtained. An example illustrating applicability our results given.

This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...

In this paper, a decentralized adaptive neural controller is proposed for a class of large-scale nonlinear systems with unknown nonlinear, non-affine subsystems and unknown nonlinear time-delay interconnections. The stability of the closed loop system is guaranteed through Lyapunov-Krasovskii stability analysis. Simulation results are provided to show the effectiveness of the proposed approache...

From the coordinates transformation, we can see that only after i 1 (ri 1 (t)) is obtained can hi (ri (t )) be obtained. After we obtain hi (ri (t )) ; ~ ij (rj (t )) can be determined from (6). In other words, ~ ij (rj (t )) can not be determined until i 1 (ri 1 (t)) is obtained. However, from the iterative procedure in the main result of [1], we can see that function i 1 (ri 1 (t)) is obtaine...

In this work, stability analysis for a class of switched nonlinear time-delay systems is performed by applying Lyapunov–Krasovskii and Lyapunov–Razumikhin approaches. It assumed that each subsystem in the family homogeneous (of positive or negative degree) asymptotically stable delay-free setting. The cases existence common multiple functionals function are explored. scenarios with synchronous ...

In this brief, the problem of exponential dissipativity of discrete-time switched system with time-varying delays is proposed by using the average dwell time approach and multiple Lyapunov-Krasovskii functional (LKF).

This paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. Therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. Based on the Lyapunov-Krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (LMIs)...