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In this paper we present a stability analysis approach for polynomially-dependent one-parameter systems. The approach, which appears to be conceptually appealing and computationally efficient and is referred to as an eigenvalue perturbation approach, seeks to characterize the analytical and asymptotic properties of eigenvalues of matrix-valued functions or operators. The essential problem dwells on...
This note concerns with the stability problem of linear systems with time-varying delay in a given range. A modified augmented Lyapunov-Krasovskii functional (LKF) is constructed where the information on the lower, upper bounds of the delay is fully exploited. By some ingenious techniques and different tackle from the literature, the derivative of the LKF is enlarged as an affine function on the delay...
This paper is concerned with the problems of design and stability analysis of networked predictive control for Hammerstein-Wiener systems via output feedback. By an inverting process, the input and output nonlinearities in Hammerstein-Wiener are partially removed from the control problem. To compensate for the effect of the network-induced delay, a new scheme based on the model predictive control...
Distributed Generation may be located far away from load centers due to their use of new energy resource distribution characteristics. In this case, Long distance transmission lines will introduce an equivalent impedance to the grid. In this paper, the interaction between grid-connected inverter and high impedance grid is studied by means of impedance-based analysis method. A distributed generation...
This paper is concerned with the problem of stability of systems with time-varying delay in a given interval. A novel Lyapunov-Krasovskii functional is proposed to obtain new stability conditions. Some triple integral terms are introduced in the Lyapunov-Krasovskii functional and the information on the lower bound on the delay are sufficiently used. New delay-dependent stability criteria are derived...
Stability analysis of nonlinear systems with disturbance inputs is an important problem in control theory and engineering. Input-to-state stability (ISS) is a novel concept that has been introduced into nonlinear control systems recently. Based on Razumikhim technique and average dwell-time switching signals, ISS properties for discrete switched systems are presented in this paper. An example is given...
The issue of the stability of linear systems with time-varying delays is considered in this paper. The time-delay considered in this paper belongs to a given interval and its derivative also belongs to a given interval. By constructing a new type of Lyapunov functional where some triple-integral terms are contained and the information of the lower bound on the delay is considered sufficiently, new...
In this paper, the problems of the exponential stability and stabilization for a class of discrete systems with time-varying delays are considered. By converting discrete systems with time-varying delays into switched systems and using the average dwell-time method, a new stability criterion is obtained and presented in terms of linear matrix inequality. Based on the obtained stability condition,...
This paper is concerned with the problem of robust stability of uncertain neutral systems with discrete and distributed delays. The uncertainties under consideration are assumed to be time-varying but norm bounded. By introducing a new form of Lyapunov-Krasovskii functional which contains some novel triple-integral terms, improved discrete-, distributed-, and neutral-delay-dependent stability conditions...
Corners in images represent a lot of important information. Extracting corners accurately is significant to image processing, which can reduce much of the calculations. In this paper, two widely used corner detection algorithms, SUSAN and Harris corner detection algorithms which are both based on intensity, were compared in stability, noise immunity and complexity quantificationally via stability...
The issue of stability of linear systems with time-varying delay is considered in this paper. By constructing a new type of Lyapunov functional which contains a novel triple integral term and using Finsler's lemma, new delay-dependent stability criteria are derived in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.
In this paper we present an analytical tool that has the promise to provide rather efficient computational solutions to a wide variety of control problems, in which the system under consideration depends on a continuously varying parameter. Notable examples in this category include time-delay and polynomially dependent systems. The approach, which appears to be conceptually appealing and computationally...
The purpose of this paper is to establish a link between the structured singular value and the stability analysis of uncertain polynomials. We first give an analytical expression for a generalization of the structured singular value under a certain circumstance and next show how stability problems of uncertain polynomials may be studied in this framework. Our results include a number of small gain...
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