Sentence examples for matrices under which from inspiring English sources

Secondly, by defining a series of suitable sets, all possible state feedback gain matrices under which a given set is a robust control invariant set are characterized.

The null space condition for ℓ1 minimization in compressed sensing is a necessary and sufficient condition on the sensing matrices under which a sparse signal can be uniquely recovered from the observation data via ℓ1 minimization.

To ensure that matrix exponentiation of the CERN colt library is reliable, we compare the matrix exponentiation results computed from our codes with from the function MatrixExp in the msm package (J ackson 2009) of R. Comparisons were made for five values of t (0.001, 0.01, 0.1, 1, and 10) and 12 different Q matrices, which are the instantaneous matrices under which our data were simulated.

To guard against convergence at a poor local optimum, we repeated this process ten times and kept the emission matrix under which the observed sequence data had the highest likelihood.

It largely does away with a matrix organization under which many employees and managers reported to multiple bosses.

Based on such an approach, the less conservative sufficient conditions are established in terms of linear matrix inequalities under which the L2 L∞ performance level can be achieved for the estimation error dynamics.

By using Lyapunov functional and some stochastic analysis techniques, the stability criteria of the estimation error systems are obtained in the form of linear matrix inequalities under which the estimation error dynamics is globally asymptotically stable.

For a given set of linear feedback gains, a given switching scheme and a given bound on the energy of the disturbances, conditions are established in terms of linear or bilinear matrix inequalities under which the resulting switched system is bounded state stable, that is, trajectories starting from a bounded set will remain inside the set or a larger bounded set.

For a given set of linear feedback gains, a given switching scheme and a given bound on the L2 norm of the disturbances, conditions are established in terms of linear or bilinear matrix inequalities under which the resulting switched system is bounded state stable, that is, trajectories starting from a bounded set will remain inside the set or a larger bounded set.

By utilizing the Lyapunov method and Razumikhin technique, we shall design the feedback hybrid controllers in terms of linear matrix inequalities under which the robust exponential stability is achieved for a closed-loop large-scale uncertain impulsive system with coupling time-delays.

By using the Lyapunov stability theory, the sufficient condition for the existence of the state feedback control strategy for the stability of the car-following model is given in the form of linear matrix inequality, under which the traffic jam can be well suppressed with respect to the varying reaction-time delay.