The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
In this paper, the problem of exponential synchronization of Chaotic Lur'e systems with sampled-data control is investigated. It's noted that the sampling periods are arbitrarily varying and bounded. A novel Lyapunov functional is proposed which takes full advantage of the available information about the actual sampling patterns. A linear matrix inequality method is utilized to design the sampled-data...
In this paper, the problem of H∞ sliding mode control for discrete-time singular systems with time-varying delay is studied. A new type of sliding mode surface involving the singular matrix E is proposed firstly, based on which, a less conservative condition is obtained to guarantee the ideal sliding mode dynamics of the singular system to be admissible with a γ-Ievel disturbance attenuation of the...
This paper addresses the stability results of a Markov jump linear system with parameter uncertainties and time-varying delay. A geometric sequence based method is used for delaypartitioning. Then, a modified geometric sequence division (GSD) dependent augmented Lyapunov-Krasovskii functional (LKF) is constructed with respect to the state variables forming in geometric progression. By employing the...
This paper investigates the problem of finite-time extended dissipative analysis for a class of switched delay systems. By using average dwell-time and linear matrix inequality technique, sufficient conditions are proposed to guarantee the switched delay system is finite-time bounded and has finitetime extended dissipative performance, where the H∞, L2 — L∞, Passivity and (Q, S, Ä)-dissipativity performance...
This paper deals with the problem of reachable set bounding for interval time-varying delay system with disturbances. A generalized reciprocally convex combination lemma and a new Lyapunov-Krasovskii functional (LKF) are given to obtain the delay-dependent criterion. The reachable set of time-varying delay systems with bounded peak disturbances is contained in the ellipsoid base this result. Meanwhile,...
This paper investigates the type-2 T-S fuzzy multiple feedback-loop guaranteed cost controller design for uncertain singular systems with transmission and state delays. Based on the type-2 T-S fuzzy theory, this work constructs a mathematical model for a class of nonlinear uncertain singular time-delay systems. Using the parallel distributed compensation concept with Lyapunov theory and linear matrix...
This paper investigates the stability of linear systems with a time-varying delay. We propose a new approach to construct Lyapunuv-Krasovskii functional (LKF). Compared with other traditional approach, the proposed one can provide a higher time-delay upper bound and lower computation complexity. Six stability criteria by linear matrix inequalities (LMIs) are established by proposed two novel LKFs...
This paper deals with the problem of complex spatio-temporal networks, which is modeled by coupled partial integro-differential equations (PIDEs). A spatial proportional-integral-derivative (SPID) state-feedback controller is studied. With Laypunov direct method, a sufficient condition on synchronization of the complex PIDE network is investigated in terms of linear matrix inequality (LMIs). Finally,...
A mathematical model and a state feedback controller for uncertain networked control systems with disturbances and short random delays are investigated in this paper. The uncertainty of transmission delay is translated into the uncertainty of coefficient matrix in the model, and the uncertainty parameter is described by a Poisson distribution function. Then, by using the Lyapunov stability theory...
The problem of fault detection for a class of continuous-time nonlinear networked control systems subject to delays induced by the networks from the sensor to controller and from controller to actuator is concerned in this paper. An observer-based fault detection filter is designed. A sufficient condition is also derived which makes the closed-loop system asymptotically stable in terms of linear matrix...
A new method is proposed for stability of load frequency control (LFC) scheme with fixed and time-varying delay cases included. Novel conditions with delay dependency in terms of LMI for LFC systems are derived by an augmented Lyapunov-Krasovski (L-K) functional. Our proof deployment for stability analysis of power grid applies the further improved integral inequality in truncated infinite series...
Decentralized state-feedback method for stabilization of descriptor fractional positive continuous-time linear systems with delays in state-space vector is proposed. Necessary and sufficient conditions for the decentralized stabilization of the descriptor fractional positive continuous-time linear systems with delays in state-space vector are established. Method is based on decomposition of the descriptor...
This paper concentrates on the issue of finite-time controller design for periodic systems with random transmission delays over networked control systems. The definitions of stochastic finite-time stability and finite-time boundedness are respectively given at the beginning of this paper. Then, based on the Lyapunov function and the linear matrix inequalities (LMIs) technique, the sufficient conditions...
This paper is concerned with the fault detection (FD) problem for a class of networked systems. We introduce a novel communication protocol which is called the Round-Robin protocol (RRP) to overcome the limited communication capacity. Under the RRP protocol, sensor nodes are prearranged in a particular sequence, and communication between sensor and the receiving end is thus periodic. Such kind of...
In this paper, the problem of sliding mode control (SMC) for mismatched uncertain system is investigated. Some delay dependent robust asymptotical stability conditions are provided. Firstly, we give a lemma. By this lemma, a delay-dependent sufficient condition is presented by means of linear matrix inequalities (LMIs) which makes sliding mode dynamics asymptotically stable. Secondly, an adaptive...
The problem of delay-dependent observer-based robustly passive control is addressed for neutral type descriptor Markov jump systems with time-varying delays. The parameter uncertainties of the system are assumed unknown and norm-bounded. Using Lyapunov-Krasovskii functional method and weighted matrix, a delay-dependent robustly passive condition for closed-loop system is given. Then, the sufficient...
Disturbance attenuation and tracking control for linear systems with time-delay are studied. A differential operator is constructed by Hamilton-Caylay theorem such that the tracking problem is converted to a stabilization problem. A control law is designed such that the output of the closed-loop system is able to track the reference signal and effectively reject the disturbance. Finally, an example...
This paper investigates the problem of robust output feedback stabilization of uncertain Hamiltonian systems with saturating actuator and input delay. The uncertainties are assumed to be time invariant and belong to convex bounded polytopic domain. By employing Lyapunov-Krasovskii functional method and Wirtinger's inequality, some sufficient conditions are derived for stabilization of nonlinear Hamiltonian...
This paper is concerned with global exponential stability problem for a class of neural networks with time-varying delays. An appropriate Lyaponov-krasovskii functional (LKF) is constructed firstly. The symmetric matrices involved in the LKF are not required to be all positive definite. The obtained criterion expressed in terms of linear matrix inequalities (LMIs) shows advantages over the existing...
In this paper, we consider the stability of a class of linear systems with a time-varying delay. By using delay decomposition method, the time-delay interval is decomposed into two sub intervals to construct a suitable Lyapunov-Krasovskii functional, and each term of the Lyapunov-Krasovskii functional do not need to be positive definite, the partial items of Lyapunov-Krasovskii functional are consider...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.