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This study aims at investigating the issues of stability and stabilization for time delay quadratic discrete-time systems. First of all, provided a locally asymptotically stable zero equilibrium point of the quadratic system and some other polytope in the state space containing the origin, a delay-independent sufficient condition judging whether this polytope belongs to the domain of attraction (DA)...
A set of risk indices of weak lines and buses causing static voltage instability and an assessment technique to evaluate the risk indices are proposed. The assessment technique is based on the integration of a quadratic optimization model combined with a line-based voltage stability index into Monte Carlo simulation. The proposed risk indices can be used to differentiate the risk responsibilities...
In this paper, a class of the linearized delayed ring neural network system under the influences of a small-world connection is studied. The stability is established and several characteristics are investigated. Particularly, when the number of neurons and the location of small-world connection are known, the stability region of c, a delay-independent constant, is presented.
Compared with deterministic stability assessment, probabilistic assessment can provide a more comprehensive, rational and realistic measure of system stability level and thus a deeper insight into system stability problem. However, considerable computational effort will be required to gain a reliable assessment for probabilistic analysis. This paper presents a method based on the distributed DSATools...
A piecewise analysis method (PAM) is proposed to investigate the stability of linear system with time-varying delay and uncertainties. Different from the existing methods in dealing with the time-varying delay, the whole variation interval of the delay is divided into two subintervals with equal length. Respecting for the delay belongs to different subintervals, new criteria on stability analysis...
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