6,273 research outputs found
A looped-functional approach for robust stability analysis of linear impulsive systems
A new functional-based approach is developed for the stability analysis of
linear impulsive systems. The new method, which introduces looped-functionals,
considers non-monotonic Lyapunov functions and leads to LMIs conditions devoid
of exponential terms. This allows one to easily formulate dwell-times results,
for both certain and uncertain systems. It is also shown that this approach may
be applied to a wider class of impulsive systems than existing methods. Some
examples, notably on sampled-data systems, illustrate the efficiency of the
approach.Comment: 13 pages, 2 figures, Accepted at Systems & Control Letter
Analytical method for determining the stability of linear retarded systems with two delays
The stability is considered of the solution differential-difference equations of the retarded type with constant coefficients and two constant time delays. A method that makes use of analytical expressions to determine stability boundaries, and the stability of the system, is derived. The method was applied to a system represented by a second-order differential equation with constant coefficients and time delays in the velocity and displacement terms. The results obtained is in agreement with those obtained by other investigators
A versatile quantum walk resonator with bright classical light
In a Quantum Walk (QW) the "walker" follows all possible paths at once
through the principle of quantum superposition, differentiating itself from
classical random walks where one random path is taken at a time. This
facilitates the searching of problem solution spaces faster than with classical
random walks, and holds promise for advances in dynamical quantum simulation,
biological process modelling and quantum computation. Current efforts to
implement QWs have been hindered by the complexity of handling single photons
and the inscalability of cascading approaches. Here we employ a versatile and
scalable resonator configuration to realise quantum walks with bright classical
light. We experimentally demonstrate the versatility of our approach by
implementing a variety of QWs, all with the same experimental platform, while
the use of a resonator allows for an arbitrary number of steps without scaling
the number of optics. Our approach paves the way for practical QWs with bright
classical light and explicitly makes clear that quantum walks with a single
walker do not require quantum states of light
P-class phasor measurement unit algorithms using adaptive filtering to enhance accuracy at off-nominal frequencies
While the present standard C.37.118-2005 for Phasor Measurement Units (PMUs) requires testing only at steady-state conditions, proposed new versions of the standard require much more stringent testing, involving frequency ramps and off-nominal frequency testing. This paper presents two new algorithms for âP Classâ PMUs which enable performance at off-nominal frequencies to be retained at levels comparable to the performance for nominal frequency input. The performances of the algorithms are compared to the âBasicâ Synchrophasor Estimation Model described in the new standard. The proposed algorithms show a much better performance than the âBasicâ algorithm, particularly in the measurements of frequency and rate-of-change-of-frequency at off-nominal frequencies and in the presence of unbalance and harmonics
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