Next, we consider the bias parameter B to be part of the trainable parameters of the neural network f( − x, − I; θ) and choose to use a new network instance instead of f (presented in the exponential decay factor). We also replace A with another neural network instan...
Show abstract Exponential decay rate of planar switched positive linear systems 2017, International Conference on Control, Automation and Systems Exponential stability of impulsive positive systems with mixed time-varying delays 2014, IET Control Theory and ApplicationsView...
It is stressed that the stretched Gaussian distribution extends the generalized gamma distribution with much thicker tail than exponential decay. Generally, μ is always equal to 0 and σ can be normalized, then β is the critical parameter which controls the tails and determines whether the peak ...
applies a secondary 1536 ns exponential filter/accumulator to further reduce the noise, and then continuously checks these traces (Vi) against the threshold conditions for an error to have been detected. When an error is detected, the controller injects instructions for a correctiveπ-pulse into t...
R. Triggiani, A sharp result on the exponential operator-norm decay of a family of strongly continuous semigroups, Semigroup Forum, 49 (1994), pp. 387-395.Triggiani R. A sharp result on the exponential operator-norm decay of a family of strongly continuous semigroups[J]. Semi Form, ...
-program the coefficients of the exponential decay of solutions are calculated. But, in the case when the conditions of the theorems quoted there are not met, the linear feedback method is used to stabilize the system. The main goal of the paper is to solve the problem of stabilization of...
Exponential growth outpaces simple, linear interest, which only had$250 in year 3 (100 + 3*50). Compound growth is useful when: Interest can be reinvested, which is the case for most savings accounts. You want to predict a future value based on a growth trend. Most trends, like inflati...
It has long been known that the impulse response function of the heart usually takes the form, approximately, of a first-order exponential decay function. After an initial “settling” time of about 1.5-2.0 seconds, after which the effects of pressure reflections have mostly died out, Cohen ...
For our second example, we consider a delayed Poisson process (ϕ(t) = (1/τ L ) exp(−(t − τ R )/τ L ) for t > τ R and 0 elsewhere), representing a process that exhibits an exponential decay with lifetime τ L , and a rest period τ R between emissi...
dynamics is hyperbolic42, the probabilityp(t) of a trajectory notfinding a solution by analog timetdecreases exponentially:p(t) ~ e−κt. The decay rateκis an invariant of transient chaos, called the escape rate55,56, and it characterizes the hardness of the given SAT formula/...