The multiobjective control problem is difficult and remains mostly open. Although the Linear Matrix Inequalities (LMI) provide a powerful analysis technique, a trade-off must be done in the relaxation to restore LMI’s properties in control synthesis. The Youla parameterization is one of the skill to restore LMI’s properties while generating all possible compensators. In this paper, it is shown ...

Rational re-parameterizations of a polynomial curve that preserve the curve degree and [0,1] parameter domain are characterized by a single degree of freedom. The “optimal” re-parameterization in this family (that comes closest under the L2 norm to arc-length parameterization) can be identified by solving a quadratic equation, but may exhibit too much residual parametric speed variation for mot...

Point cloud is the most fundamental representation of 3D geometric objects. Analyzing and processing point cloud surfaces is important in computer graphics and computer vision. However, most of the existing algorithms for surface analysis require connectivity information. Therefore, it is desirable to develop a mesh structure on point clouds. This task can be simplified with the aid of a parame...

EAGLE is a very powerful logic for expressing behavioral properties about systems that evolve over time. Specifically, the logic can be used to monitor the execution of computer programs. EAGLE is an extension of propositional logic with three temporal kernel operators, with recursion, and with parameterization over formulas in the logic as well as over data values. Formula parameterization all...

Stochastic superparameterization, a stochastic parameterization framework based on a multiscale formalism, is developed for mesoscale eddy parameterization in coarse-resolution ocean modeling. The framework of stochastic superparameterization is reviewed and several configurations are implemented and tested in a quasigeostrophic channel model – an idealized representation of the Antarctic Circu...

An aerosol activation parameterization has been developed, based on a generalized representation of aerosol size and composition within the framework of an ascending adiabatic parcel; this allows for parameterizing the activation of chemically complex aerosol with arbitrary size distribution and mixing state. The new parameterization introduces the concept of “population splitting”, in which th...

Abstract. Free-drift estimates of sea ice motion are necessary to produce a seamless observational record combining buoy and satellite-derived vectors. We develop new parameterization for the free drift based on wind forcing, turning angle, state variables (thickness concentration), ocean currents. Given fact that spatial distribution wind–ice–ocean transfer coefficient has similar structure th...

We consider state-dependent delay equations (SDDEs) obtained by adding delays to a planar ODE with limit cycle. Situations of this type appear in models several physical processes, where small effects are added. Even if the small, they very singular perturbations since natural phase space an SDDE is infinite-dimensional space. show that for SDDE, there initial values which lead solutions simila...

Recent observational studies demonstrate that airsea momentum flux at high wind conditions in hurricanes strongly depends on the wave field and that the drag coefficient (Cd = u*/U10) levels off or even decreases at very high winds (Powell et al. 2003). Yet most hurricane research and forecast model utilize the bulk parameterization, i.e., the boundary layer parameterization based on the Monin-...

We study the solutions of the discrete time algebraic Riccati equation for stable linear systems. We give sharpened existence results for such solutions (in comparison to our earlier work [4]) under an extra assumption that makes the state space isomorphism techniques applicable. This extends some of the known results on the parameterization of stable spectral factors for realizations with infi...