This paper deals with the design of the minimal functional observer for linear time invariant systems. The proposed minimal functional observer estimates the linear function characterizing a state feedback controller law. A synthesis procedure of a minimum observer which has the same dimension as the control vector is then presented and a condition of such observer existence is stated. The effe...

We study the behaviour at the terminal time T of the minimal solution of a backward stochastic differential equation when the terminal data can take the value +∞ with positive probability. In a previous paper [15], we have proved existence of this minimal solution (in a weak sense) in a quite general setting. But two questions arise in this context and were still open: is the solution right con...

A minimal sufficient condition for global optimality involving the Darboux point, analogous to the minimal sufficient condition of local optimality involving the conjugate point, is presented. The Darboux point is then characterized for optimal control problems with linear dynamics, cost functionals with a general terminal state term and an integrand quadratic in the state and control, and gene...

This paper gives a characteristic condition of finite nilpotent group under the assumption that all minimal subgroups of G are well-suited in G.

Acquiring novel speech categories is necessary in spoken language learning. The dual-learning systems (DLS) approach posits that two competitive systems underlie the category learning process: an explicit hypothesis-testing system, and an implicit procedural system. DLS assumes that the explicit system dominates early and control is passed to the implicit system when optimal. Evidence from our ...

We consider hedonic coalition formation games that are induced by a simple TUgame and a cooperative solution. For such models, Shenoy’s (1979) absence of the paradox of smaller coalitions provides a sufficient condition for core existence. We present three different versions of his condition in order to compare it to the top coalition property of Banerjee et al. (2001) that guarantees nonemptin...

In this paper we consider the infinite relaxation of the corner polyhedron with 2 rows. For the 1-row case, Gomory and Johnson proved in their seminal paper a sufficient condition for a minimal function to be extreme, the celebrated 2-Slope Theorem. Despite increased interest in understanding the multiple row setting, no generalization of this theorem was known for this case. We present an exte...

Let R be an o-minimal expansion of a group in language which Th(R) eliminates quantifiers, and let C predicate for valuational cut R. We identify condition that implies quantifier elimination Th(R,C) the expanded by small number constants, which, turn, is implied having being universally axiomatizable. The applies example case when convex subring field its residue o-minimal.

Scaffolded feedback was tested against three other feedback presentation methods (standard corrective feedback, minimal feedback, and answer-until-correct multiple-choice feedback) over both short- and long-term retention intervals in order to assess which method would produce the most robust gains in error correction. Scaffolded feedback was a method designed to take advantage of the benefits ...

A sufficient condition for the validity of Cosmic Censorship in spherical gravitational collapse is formulated and proved. The condition relies on an attractive mathematical property of the apparent horizon, which holds if “minimal” requirements of physical reasonableness are satisfied by the matter model.