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Branch and Bound Algorithm for Computing the Minimum Stability Degree of Parameter-Dependent Linear Systems
Branch Bound Algorithm Computing Minimum Stability Degree Parameter-Dependent Linear Systems
2015/7/13
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
Computing Bounds for the Structured Singular Value via an Interior Point Algorithm
Computing Bounds Structured Singular Value Interior Point Algorithm
2015/7/13
We describe an interior point algorithm for computing the upper bound for the structured singular value described in the paper by Fan, Tits and Doyle, IEEE Trans AC, Jan. 1991. We demonstrate the perf...
On Computing the Worst-Case Peak Gain of Linear Systems
SISO discrete-time LTI systems computation of `1-gain discrete-time systems with diagonal perturbations
2015/7/13
Based on the bounds in the paper by Boyd and Doyle (Comparison of peak and RMS gains for discrete-time systems, Systems and Control Letters, 9:1-6), we present simple upper and lower bounds for the el...
Computing Optimal Uncertainty Models from Frequency Domain Data
Computing Optimal Uncertainty Models Frequency Domain Data
2015/7/10
Uncertainty models are an essential ingredient in robust control design. In addition, because of the tradeoff between uncertainty and performance, the uncertainty model should be as ‘tight’ as possibl...
Computing Densities for Markov Chains via Simulation
Markov chain density estimator simulation
2015/7/8
We introduce a new class of density estimators, termed look-ahead density estimators, for performance measures associated with a Markov chain. Look-ahead density estimators are given for both transien...
Computing the Distribution Function of a Conditional Expectation via Monte Carlo: Discrete Conditioning Spaces
Probability algorithms distribution functions conditional expectation
2015/7/8
We examine different ways of numerically computing the distribution function of conditional expectations where the conditioning element takes values in a finite or countably infinite outcome space. Bo...
Computing Bayesian Means Using Simulation
Bayesian simulation nested simulation independent sampling
2015/7/6
This paper is concerned with the estimation of alpha = Er(Z), where Z is a random vector and the function values r(z) must be evaluated using simulation. Estimation problems of this form arise in the ...
Analysis of a Stochastic Approximation Algorithm for Computing Quasi-stationary Distributions
Stochastic approximations quasi-stationary distribution ODE method.
2015/7/6
This paper analyzes the convergence properties of an iterative Monte Carlo procedure proposed in the Physics literature for estimating the quasi-stationary distribution on a transient set of a Markov ...
A variational principle for computing nonequilibrium fluxes and potentials in genome-scale biochemical networks
Constraint-based modeling Flux balance analysis
2015/7/3
We derive a convex optimization problem on a steady-state nonequilibrium network of biochemical
reactions, with the property that energy conservation and the second law of thermodynamics both hold
a...
LSQR uses the Golub-Kahan bidiagonalization process to solve sparse least-squares
problems with and without regularization. In some cases, projections of the right-hand
side vector are required, r...