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.
The reachable set estimation problem of discrete-time Markovian jump systems with time-varying delay is concerned with in this note. By utilizing Lyapunov theory and reciprocally convex combination approach, a sufficient reachable set estimation condition is proposed in terms of linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the workability of the proposed results.
This paper deals with the problem of sliding mode control (SMC) for a class of singular systems with time-varying delay. A sliding mode controller is designed such that the singular system is exponentially admissible and in finite time the trajectory of singular system can be driven onto the sliding surface. By constructing a Lyapunov-Krasovskii functional and using the free-weighting matrix approach,...
This notes focuses on the state-feedback stabilization problem for a class of high-order nonlinear parameterized systems in presence of time-varying control coefficient. The conditions on parameterized nonlinear functions and time-varying control coefficient are further relaxed by adopting Nussbaum function approach and backsetpping technique. In addition, the uniform ultimate boundedness of the closed-loop...
This paper investigates the problem of robust stability for a class of linear uncertain system with interval time-varying delay. Based on delay-central point method and by means of L-K stability theorem, integral inequality method and convex combination technique, a new delay-dependent stability criterion for the system is formulated in terms of linear matrix inequalities (LMIs). Unlike existing methods,...
This paper considers the global finite-time output-feedback stabilization for a class of uncertain nonlinear systems. Essentially different from the existing related literature, the systems in question allow serious parametric unknowns and serious time-variations coupling to the unmeasurable states, and possess remarkably inherent nonlinearities allowing to be low-order and high-order with respect...
This paper discusses the problem of adaptive stabilization for stochastic feedforward nonlinear systems with time-delay. A universal-type adaptive update law is introduced into the observer and controller to deal with unknown growth rates. With the help of the appropriate Lyapunov-Krasovskii functional and stochastic Barbalat's lemma, it can be proved that the universal-type adaptive output feedback...
This paper is devoted to the global output-feedback stabilization for a class of high-order nonlinear systems with additive input disturbances and unknown growth rate. To compensate these system unknowns, a time-varying output-feedback control design scheme is proposed. Detailedly, a time-scaling transformation is first introduced, and then under the assumption that all system states are available...
This paper consider the problem of stability analysis for T-S fuzzy systems with time-varying delay. By applying the idea of scalar function and augmented vectors, dealing with the positiveness of a functional, a novel simple Lyapunov-Krasovskii functional (LKF) which contains more-fold integral terms is established. Then, by employing reciprocally convex approach and the quadratic convex combination,...
The paper investigates exponential stabilization problem of systems with time-varying delay via periodically intermittent memory state-feedback control. By constructing a new Lyapunov-Krasovskii functional and employing the free-matrix-based integral inequality, less conservative delay-derivation-dependent conditions are derived in terms of linear matrix inequalities than the existing ones. Particularly,...
In this paper, an interval delay partitioning method is explored for the system with time-varying delay. By constructing a new Lyapunov-Krasovskii functional, and combining with interval delay partitioning method, less conservative results for the system with interval time-varying delay are derived in terms of linear matrix inequalities. A numerical example is given to demonstrate the advantages of...
This paper investigates an improved state-feedback analysis and synthesis for asymptotically stabilizing linear parameter-varying systems. Based on Finsler's lemma, sufficient conditions are deliberated in the form of parameterized linear matrix inequalities and eliminate the coupling of time-varying parameters in Lyapunov functions and system matrices to effectively reduce the conservatism than before...
This paper deals with the stability analysis of dynamic systems with two additive time-varying delay. By decomposing one delay interval into multiple subintervals which may be unequal, an appropriate Lyapunov-Krasovskii functional (LKF) is constructed whose each term is not positive definite while the the sum of each term is positive definite. The integral inequality method and the reciprocally convex...
This paper deals with the H∞ control for singular Markovian jump systems(SMJSs) with time-varying delay. Using the Lyapunov functional method and the free-weighting matrix method, a delay-dependent LMI condition is derived, which ensures the considered system to be regular, impulse free and stochastically stable with given H∞ performance index γ. Based on the condition, the explicit expression of...
The paper has studied the problem of H∞ filtering for Markovian jump stochastic systems with uncertain transition probabilities. The systems under consideration not only involve uncertainties both in the system matrices and in the mode transition rate matrix, but also contain time-varying delays. By free-weighting matrix technique, a sufficient condition for the existence of an H∞ filter is developed...
The stabilization of Itô stochastic time-varying systems is studied via receding horizon control (RHC) in this paper. By using stochastic maximum principle we obtain the explicit solution of the receding horizon control. Based on monotonically non-increasing of optimal cost and stochastic Lyapunov stability theory, a necessary and sufficient stabilization condition on the terminal weighting matrix...
This paper is concerned with the distributed fault estimation problem for a class of time-varying systems which are subject to randomly occurring nonlinearities (RONs) over sensor networks. The random nonlinearities are characterized by random variables obeying certain probabilistic distributions in the interval [0, 1]. And the available output measurements are obtained from both the individual sensor...
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.