BACKGROUND Conventional methods to assess local activation time (LAT) detect the peak of the bipolar electrogram (B-LATPeak) or the maximal negative slope of the unipolar electrogram (U-LATSlope). We evaluated 3 novel methods to assess LAT: onset (B-LATOnset) and center of mass (B-LATCoM) of bipolar electrogram, and maximal negative slope of unipolar electrogram within a predefined bipolar wind...

This paper discusses the implementation of an LQ control strategy through the use of a Minimal Control Synthesis adaptive algorithm recently presented in the literature. It is shown that by using such approach the structural stability of the closed-loop system can be improved with respect both parameter mismatches and nonlinear perturbations. A case study discussed in the literature on LQ contr...

In this paper, we consider a stochastic realization problem with finite covariance data based on “LQ decomposition” in a Hilbert space, and re-derive a non-stationary finite-interval realization ([4, 5]). We develop a new algorithm of computing system matrices of the finiteinterval realization by LQ decomposition, followed by the SVD of a certain block matrix. Also, a stochastic subspace identi...

OBJECTIVE To describe SLE disease activity patterns in the Hopkins Lupus Cohort. METHODS Disease activity was studied in 1886 patients followed-up for 1-28 years. Disease activity patterns were defined using (1) Physician Global Assessment (PGA) and (2) modified SLE Disease Activity Index (M-SLEDAI) as follows: long quiescent (LQ), M-SLEDAI=0/PGA=0 at all visits; relapsing-remitting (RR), per...

Irregular linear quadratic control (LQ, was called Singular LQ) has been a long-standing problem since 1970s. This paper will show that an irregular LQ (deterministic) is solvable (for arbitrary initial value) if and only the cost functional can be rewritten as regular one by changing terminal x ? ( T ) Hx to )[ H + P 1 )] ), while optimal controller achieve = 0 at same time. In other words, (i...

This paper proposes a control theoretic formulation and a controller design method for the feature-based visual servoing with redundant features. The linear time-invariant (LTI) formulation copes with the redundant features and provides a simple framework for controller design. The proposed linear quadratic (LQ) method can deal with the redundant features, which is important because the previou...

Artin's celebrated conjecture on primitive roots (Artin [l, p. viii], Hasse [2], Hooley [3]) suggests the following Conjecture. Let S' be a set of rational primes. For each q£-S, let Lq be an algebraic number field of degree n(q). For every square-f ree integer k, divisible only by primes of S, define Lk to be the composite of all Lq, q\ k, and denote n{k) =deg(Ljb/0). Assume that 2 * l/n(k) co...

Sparse learning has recently received increasing attention in many areas including machine learning, statistics, and applied mathematics. The mixed-norm regularization based on the l1/lq norm with q > 1 is attractive in many applications of regression and classification in that it facilitates group sparsity in the model. The resulting optimization problem is, however, challenging to solve due t...

Let 1 < p ≤ q < +∞ and let v, w be weights on (0,+∞) satisfying: (?) v(x)xis equivalent to a non-decreasing function on (0,+∞) for some ρ ≥ 0; [w(x)x] ≈ [v(x)x] for all x ∈ (0,+∞). We prove that if the averaging operator (Af)(x) := 1 x R x 0 f(t) dt, x ∈ (0,+∞), is bounded from the weighted Lebesgue space Lp((0,+∞); v) into the weighted Lebesgue space Lq((0,+∞);w), then there exists ε0 ∈ (0, p−...

We apply the recently developed duality methods based on information relaxations to the classic linear quadratic (LQ) control problem. We derive two dual optimal penalties for the LQ problem when the control space is unconstrained. These two penalties, which are derived using value function and gradient methods, respectively, may be used to evaluate sub-optimal policies for constrained LQ probl...