The mechanism of legal regulation relations is considered as a system means, methods and forms with the help which social are regulated. author argues about variability normative element under consideration, since it not always possible to include multiplicity parameters that form its content essence exclusively into norm. It argued rule law main through between members society being correspond...

We provide a uniform estimate for the L-norm (over any interval of bounded length) of the logarithmic derivatives of global normalizing factors associated to intertwining operators for the following reductive groups over number fields: inner forms of GL(n); quasi-split classical groups and their similitude groups; the exceptional group G2. This estimate is a key ingredient in the analysis of th...

In this paper, nonlinear dynamic equations of a wheeled mobile robot are described in the state-space form where the parameters are part of the state (angular velocities of the wheels). This representation, known as quasi-linear parameter varying, is useful for control designs based on nonlinearH∞ approaches. Two nonlinearH∞ controllers that guarantee induced L2-norm, between input (disturbance...

Many iterative methods that are used to solve Ax = b can be derived as quasi-Newton methods for minimizing the quadratic function 1 2 xAAx−xAb. In this paper, several such methods are considered, including conjugate gradient least squares (CGLS), Barzilai-Borwein (BB), residual norm steepest descent (RNSD) and Landweber (LW). Regularization properties of these methods are studied by analyzing t...

The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2-D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algo...

We show that for any C∗-algebra A, a sufficiently large Hilbert space H and a unit vector ξ ∈ H, the natural application rep(A:H) θξ −−→ Q(A), π 7→ 〈π(−)ξ, ξ〉 is a topological quotient, where rep(A:H) is the space of representations on H and Q(A) the set of quasi-states, i.e. positive linear functionals with norm at most 1. This quotient might be a useful tool in the representation theory of C∗...

We consider the approximation by linear finite elements of the solution of the Dirichlet problem -Au = /. We obtain a relation between the error in the infinite norm and the error in some Orlicz spaces. As a consequence, we get quasi-optimal uniform estimates when u has second derivatives in the Orlicz space associated with the exponential function. This estimate contains, in particular, the ca...

We show quasi-optimal a priori convergence results in the Land H−1/2-norm for the approximation of surface based Lagrange multipliers such as those employed in the mortar finite element method. We improve on the estimates obtained in the standard saddle point theory, where error estimates for both the primal and dual variables are obtained simultaneously and thus only suboptimal a priori estima...

Unfortunately there is no documentation available on the performance achievable in closed-loop for each problem instance, such as for example the maximum stability margin or minimum H2 or H∞ norm. In the case of static state feedback or full-order 3 dynamic controller feedback, solving these design problems amounts at solving a numerical linear algebra problem, or at worst a quasi-convex optimi...