In this paper, a class of optimal switching control problems with prespecified order of the sequence of subsystems is considered, where the switching instants are included in the cost functional. Both the switching instants and the control function are to be chosen such that the cost functional is minimized. Through the discretization of the control space, each control component is approximated...

This study concerns parameterization and subsequent subtraction of the fast decaying signals of macromolecules from in vivo MRS signals of tissue metabolites of interest. The parameterization is done with a State Space approach (HSVD) based on singular value decomposition. The method is tested with a simulated non-exponentially damped macromolecule signal and an exponentially damped metabolite ...

A recent architecture based on the Youla parameterization is analyzed for the nominal and uncertain case. This special architecture is characterized by a separation principle for the controller. In this paper, several stability results that allow to extend the structure to the integrated control/filter approach are presented. Two algorithms based on the recursive design and nesting of the integ...

The “D” matrices for all states of the two fundamental representations and octet are shown in the generalized Euler angle parameterization. The raising and lowering operators are given in terms of linear combinations of the left invariant vector fields of the group manifold in this parameterization. Using these differential operators the highest weight state of an arbitrary irreducible represen...

The adiabatic geometric phases for general three state systems are discussed. An explicit parameterization for space of states of these systems is given. The abelian and non-abelian connection one-forms or vector potentials that would appear in a three dimensional quantum system with adiabatic characteristics are given explicitly. This is done in terms of the Euler angle parameterization of SU(...

A debate in drug policy rankles between proponents of use reduction and harm reduction. We present a stylized two-state, one-control dynamic optimization model of this choice based on a social cost related definition of harm reduction, and parameterize it both for cocaine in the U.S. and for Australia's population of injection drug users. Static analysis of a binary choice between pure harm red...

Recently there has been considerable research on Data Stream Management Systems (DSMS) to support analysis of data that arrives rapidly in high-speed streams. Most of these systems have very expressive query languages in order to address a wide range of applications. In this paper, we take a different approach. Instead of starting with a very powerful data stream query language, we begin with a...

We present a classical r-matrix for the Hitchin system without marked points on an arbitrary non-degenerate algebraic curve of genus g ≥ 2 using Tyurin parameterization of holomorphic vector bundles.