Abstrsct--This paper presents a numerical technique for solving non-linear constrained optimal control problems. The method extends previous contributions to non-linear unconstrained optimal control problems and is based upon a Chebyshev series expansion of state and control. The differential and integral expressions from the system dynamics and the performance index, the boundary conditions an...

In this paper, we establish global optimality conditions for quadratic optimization problems with quadratic equality and bivalent constraints. We first present a necessary and sufficient condition for a global minimizer of quadratic optimization problems with quadratic equality and bivalent constraints. Then, we examine situations where this optimality condition is equivalent to checking the po...

To every labeled poset (P, ω), one can associate a quasisymmetric generating function for its (P, ω)-partitions. We ask: when do two labeled posets have the same generating function? Since the special case corresponding to skew Schur function equality is still open, a complete classification of equality among (P, ω) generating functions is likely too much to expect. Instead, we determine necess...

In this paper we discuss one dimensional scattering and inverse scattering for the Helmholtz equation on the half line from the point of view of the layer stripping. By full or nonlinear scattering, we mean the transformation between the index of refraction (actually half of its logarithmic derivative) and the reflection coefficient. We refer to this mapping as nonlinear scattering, because the...

The growing demand on efficient and distributed optimization algorithms for largescale data stimulates the popularity of Alternative Direction Methods of Multipliers (ADMM) in numerous areas, such as compressive sensing, matrix completion, and sparse feature learning. While linear equality constrained problems have been extensively explored to be solved by ADMM, there lacks a generic framework ...

Subspace identification methods produce unreliable model estimates when a small number of noisy measurements are available. In such cases, the accuracy of the estimated parameters can be improved by using prior knowledge about the system. The prior knowledge considered in this paper is constraints on the impulse response, e.g., steady-state gain, overshoot, and rise time. The method proposed ha...

A copula density is the joint probability density function (PDF) of a random vector with uniform marginals. An approach to bivariate copula density estimation is introduced that is based on a maximum penalized likelihood estimation (MPLE) with a total variation (TV) penalty term. The marginal unity and symmetry constraints for copula density are enforced by linear equality constraints. The TV-M...

In this paper we study the non-determinism between the inference rules of the lazy narrowing calculus lnc (Middeldorp et al., 1996). We show that all non-determinism can be removed without losing the important completeness property by restricting the underlying term rewriting systems to left-linear confluent constructor systems and interpreting equality as strict equality. For the subclass of o...