Recent technological advances enable radiation therapy to be delivered in a highly conformal manner to targets located almost anywhere in the body. This capability has renewed the clinical interest in hypofractionation wherein the tumor is delivered a few fractions of very large dose per fraction. Extrapolating clinical experience from conventional regimens to fractions of high dose is importan...

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the Lq,p-cohomology of these manifolds. Some applications to vanishing and non vanishing results in Lq,pcohomology are given.

Static Synchronous Compensator (STATCOM) can improve power factor and dynamic stability on power system. STATCOM is Multiple Input and Multiple Output (MIMO) system, which can be presented by a mathematical model. This paper presents an application of Particle Swarm Optimization (PSO) as a modern tool to design controller parameter of weighting matrices Q and R of the LQ optimal control to obta...

This paper studies a method of shifting poles of linear constant systems via LQ optimal feedback. By making use of a solution to the so-called inverse regulator problem, this method enables us to shift poles successively by pairs while maintaining the well-known advantages of LQ regulators. Polynomial fractional representation is effectively used both to characterize the maximal pole-assignable...

This paper considers the problems of estimating the stability region (domain of attraction) and controller design for uncertain linear continuous-time systems with input saturationwhen linear quadratic (LQ) optimal controller is used. By exploiting the structure of the LQ controller and the property of saturation functions, it is established that the estimation of stability region can be obtain...

We consider a stochastic linear–quadratic (LQ) problem with possible indefinite cost weighting matrices for the state and the control. An outstanding open problem is to identify an appropriate Riccati-type equation whose solvability is equivalent to the solvability of this possibly indefinite LQ problem. In this paper we introduce a new type of differential Riccati equation, called the generali...

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