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In this paper, the stability problem for a class of time delayed singular Markovian jump systems (SMJSs) with time-varying transition rates is studied. By using the quantized method, the time-varying transition rate matrix (TRM) is quantized into a series of finite TRMs with norm bounded uncertainties, whose difficulties in system analysis are overcome. Then, new criterion for stochastic admissibility...
This study is focused on the problem of asymptotic stability for a class of Lur'e dynamical system with mixed time-varying delays and nonlinearity. Firstly, by constructing a new appropriate Lyapunov-Krasovkii functional, less conservative delay-dependent stability criteria are derived by using some integral inequalities. Besides, by dividing the mixed delays into many a nonuniformly subintervals...
Hybrid consensus problems among a group of continuous-time high-order agents with directed communication topology are investigated by a time delay approach, where each agent obtains the communication information from its neighboring agents only at discrete-time instants. Firstly, based on both the continuous-time state information of each agent and the discrete-time communication information with...
In this paper, we investigate the synchronization and parameter identification of chaotic system with unknown parameters and multiple time-varying delays. We apply a special matrix structure to designing the controller and the update rule of unknown parameters to realize synchronizing chaotic system and identifying the unknown parameters. Numerical simulations are carried out to confirm the effectiveness...
In this paper, a robust L2-L∞ filter design method is presented for a class of continuous-time uncertain nonlinear systems of which the output equations contain the time-varying delay and the saturation items while the state equations contain the time-varying delay items. The memoryless sector region method is utilized to deal with the saturation, and the nonlin-earity is subjected to the Lipschitz...
This paper is concerned with the problem of stability analysis of linear systems with time-varying delay. A new delay-dependent stability condition expressed in terms of linear matrix inequalities (LMIs) is derived by employing a dedicated constructed Lyapunov-Krasovskii functional (LKF) and combining a novel combined convex method. Different from the previous convex techniques which only tackle the...
In this paper, design of the model following control is discussed. The design of the control system is constructed using the easy algebraic algorithm of matrices whose elements are polynomials of the two kinds of operators. Bounded of the inner states for the control system is given and the utility of this control design is guaranteed. It is confirmed on basis of a numerical example that the output...
This paper investigates the admissibility analysis problem for a class of nonlinear singular systems with an interval time-varying delay. A delay-range-dependent and delay-rate-independent admissibility criterion for nonlinear singular time-delay system is first established. Furthermore, it is shown that the admissibility criterion proposed in this paper is more simple and less conservative than one...
The problem of robust admissibility analysis for uncertain discrete-time singular systems with time-varying delay is addressed in this paper. A comparison model is introduced to analyze the connection of two subsystems instead of the original singular system in order to handle the time-varying delay and norm-bounded uncertainty. The approximation of comparison model is carefully employed in order...
This paper points and corrects mistakes in [Mathematical Problems in Engineering, Volume 2009, ID759248, doi:10.1155/2009/759248]. By introducing a Lyapunov-Krasovskii functional and using Jensen inequality technique to deal with its derivative, a delay-range-dependent and rate-dependent linear matrix inequalities (LMI) stability criterion for a class of neutral systems with time-varying neutral,...
This paper studies the problem of H∞ filtering for Takagi-Sugeno (T-S) fuzzy delta operator system with time-varying delay. The time-varying delay is handled by input-output approach. Then a new transformed model is represented for filtering error system with H∞ performance index. By applying the Lyapunov stability theory and scaled small gain theorem, a criterion of asymptotic stability with H∞ performance...
This paper is concerned with the event-triggered μ∞ filtering problem for networked systems with fading channels. An event indicator variable is constructed and the corresponding event-triggered scheme is proposed, which is based on the relative error with respect to the measurement signal, to determine whether the measurement output is transmitted to the filter or not. The fading channels are described...
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