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The problem of observer design for a class of linear time-varying system is researched in this paper. An augmented linear time-varying system is proposed to extent the application of the previous results. Moreover, using the observable block companion form of the augmented linear time-varying system, this paper presents an algorithm of observer design. Compared with other observer design approaches,...
This paper deals with the problem of reachable set estimation for singular systems with time-varying delays. Based on the Lyapunov-Krasovskii functional approach and the reciprocally convex inequality, sufficient delay-dependent conditions are obtained in terms of linear matrix inequalities (LMIs) for the existence of an intersection of ellipsoids, which contains the considered system states under...
This paper concerns the stability problem of singular systems with time-varying delay. According to different delay-partition intervals, an augmented Lyapunov-Krasovskii functional with delay cross terms is constructed. Based on it, using the relaxed integral inequality technique is to obtain a less conservative stability criterion. As a result, two numerical examples are provided to demonstrate the...
This paper deals with the problem of H∞ full-order observer design for discrete-time linear singular systems with disturbance inputs and time-varying delay in state variables. A delay-dependent sufficient conditions is presented to guarantee the considered observer to be stable and satisfy the prescribed H∞ performance γ. The main procedure is based on Lyapunov-Krasovskii stability theory, where the...
The time-delay in state variables can impacts the stability of power system. The problem about stability analysis of linear systems with time-varying delays is concerned. A general criterion of the system asymptotic stability is established by segmenting delay intervals. Corollaries under different conditions are given. The three delay intervals with delay information are segmented finitely based...
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...
This paper is concerned with the stabilization problem for T-S fuzzy system with interval time-varying delay. By constructing a novel augmented LKF and using a developed reciprocally convex matrix inequality proposed in this paper to bound the derivative of the LKF, a delay-dependent stabilization condition based on parallel distributed compensation scheme is worked out for the closed-loop fuzzy system...
In this paper, the problem of stability for linear systems with time-varying delays is investigated. By inequality, Then we obtain a less conservativstability criteria. Finally, The superiority and validity of the propconstructinga suitable augmented Lyapunov-Krasovskii functional and its derivative is estimated by using Jensen integral osed criteria are verified by comparing maximum delay bounds...
This paper is concerned with the problem of sampled-data filtering for delayed neural network subject to sensor saturation. Rather than the continuous measurements, the neural network measurements are sampled and then transmitted to the filter simultaneously considering sensor saturation constraints. By using the input delay approach, the sampling period is converted into a bounded time-vary delay...
An adaptive neural control method is developed for a class of full state constrained nonlinear systems with unmodeled dynamics and time-varying delays in this paper. An integral barrier Lyapunov function (iBLF) is used to every step in the backstepping procedure to ensure that the full state constraints are not violated. The unmodeled dynamics is dealt with by introducing a dynamic signal and the...
The robust adaptive control of uncertain system with unknown time-varying control coefficient is discussed. A novel output sampled control scheme based on characteristic model with neural network estimator is proposed. The design of the control scheme includes characteristic modeling, estimation for the characteristic parameters, and characteristic model-based adaptive control. The estimation method...
Complex networks with time-varying parameters nodes are of considerable interest in many areas of science, engineering and nature. Reconstructing networks with unknown but bounded time-varying parameters nodes from limited measured information is desirable and of significant interest for using and controlling these networks. Based on the Lasso method and the Taylor expansion approximation, we develop...
This paper is concerned with the adaptive stabilization problem of high-order stochastic nonlinear systems with time-varying delay. Indeed, there exist lots of deterministic results for the system without uncertainty and time delay. However, owing to the existence of time varying delay, unknown parameters and the relaxed nonlinear terms, it is not easy to choose an appropriate Lyapunov-Krasoviskii...
This paper is devoted to the stabilization problem for a class of stochastic feedforward nonlinear systems with unknown growth rate by time-varying state feedback. As the first contribution, a general LaSalle-type theorem is established for stochastic time-varying systems with the aid of the generalized weakly positive definite function. Then a time-varying state feedback control scheme is established...
This paper investigates the consensus for a class of first-order stochastic nonlinear multi-agent systems. Different from the related results, the systems allow serious unknown control coefficients and parametric unknowns in nonlinearities. To compensate the serious unknowns, a distributed time-varying consensus protocol is proposed. The key of the proposed protocol is to introduce a time-varying...
The paper deals with the problem of exponential stability for positive Markovian jump systems with switching transition rates subject to average dwell time approach. Another set of useful regime-switching models has been given for an extension of fixed transition rate to combine time-varying transition rates. By resorting to the multiple linear co-positive Lyapunov function and average dwell time,...
In this paper, the problem of H∞ nonlinear stochastic stability analysis for a class singular systems with Markovian jumping parameters and time-varying delay is addressed. The discrete delay is assumed to be time-varying and belong to a given interval. Based on LMIs (linear matrix inequality) approach, a delay depended condition is proposed, which ensure the singular system is stochastically stable...
In this paper, a novel recursive method to identify the moment of inertia parameters of on-orbit spacecraft is proposed. Different from the frequently-used momentum conservation and least squares approach, the presented method is implemented based on the Projection Approximation Subspace Tracking (PAST), and the moment of inertia parameters can be determined recursively from the system state-space...
Both the plant parameter4 and delay time of the system may vary in the time-varying system, which makes system identification relatively complex. In this paper, a new system identification algorithm based on subspace method and cross-correlation function is proposed to identify system parameter and time-delay simultaneously. The time delay is identified with the calculation of the cross-correlation...
The paper presents a robust, proximate time-optimal controller for second-order systems. We simplify the ideal switching curve, and prove its stability and proximate time-optimality. To balance time and robustness. Bang-bang control and time-varying sliding mode control are combined and the time optimal control idea is incorporated into the time-varying sliding mode control design. The approach used...
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