This paper presents the design of and test results for an algorithm solving constrained black box optimization problems globally using mainly methods from data analysis. A particular focus is put on constraints: in addition to bound constraints, we also handle black box inequality and equality constraints. In particular, our algorithm is able to handle equality constraints given in implicit for...

Characterization of the containment of a polyhedral set in a closed halfspace, a key factor in generating knowledge-based support vector machine classifiers [7], is extended to the following: (i) Containment of one polyhedral set in another. (ii) Containment of a polyhedral set in a reverse-convex set defined by convex quadratic constraints. (iii) Containment of a general closed convex set, def...

This paper proposes a new approach based on augmented Lagrangian relaxation for short term generation scheduling problem with transmission and environmental constraints. In this method, the system constraints, e.g. load demand, spinning reserve, transmission capacity and environmental constraints, are relaxed by using Lagrangian multipliers, and quadratic penalty terms associated with system lo...

In this paper, we directly design a state feedback controller that stabilizes class of uncertain nonlinear systems solely based on input-state data collected from finite-length experiment. Necessary and sufficient conditions are derived to guarantee the system is absolutely stabilizable designed. Results under some relaxed prior information about system, strengthened assumptions perturbed also ...

Unit quaternion is an ideal parameterization for joint rotations. However, due to the complexity of the geometry of S group, it’s hard to specify meaningful joint constraints with unit quaternion. In this paper, we have proposed an effective and accurate method to specify the rotation limits for joints parameterized with the unit quaternion. Joint constrains constructed with our method are adeq...