Necessary conditions for optimal impulsive control problems

A Maximum Principle is derived for a class of optimal control problems arising in midcourse guidance, in which certain controls are represented by measures and, the state trajectories are functions of bounded variation. The optimality conditions improves on previous optimality conditions by allowing nonsmooth data, measurable time dependence, and a possibly time varying constraint set for the conventional controls.

Global optimization approach for the H2-norm model reduction problem

A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous-time linear systems, with conditions assuring convergence to the global optimum in finite time. The lower and upper bounds used in the optimization procedure are obtained through Linear Matrix Inequalities formulations. Examples illustrate the results.

Lyapounov stability for impulsive dynamical systems

This article addresses the problem of stability of impulsive control systems whose dynamics are given by measure driven differential inclusions. One important feature concerns the adopted solution which allows the consideration of systems whose singular dynamics do not satisfy the so-called Frobenius condition. After extending the conventional notion of control Lyapounov pair for impulsive systems, some stability conditions of the Lyapounov type are given. Some conclusions follow the outline of the proof of the main result.

Araçatuba virus: A vaccinialike virus associated with infection in humans and cattle

We describe a vaccinialike virus, Araçatuba virus, associated with a cowpoxlike outbreak in a dairy herd and a related case of human infection. Diagnosis was based on virus growth characteristics, electron microscopy, and molecular biology techniques. Molecular characterization of the virus was done by using polymerase chain reaction amplification, cloning, and DNA sequencing of conserved orthopoxvirus genes such as the vaccinia growth factor (VGF), thymidine kinase (TK), and hemagglutinin. We used VGF-homologous and TK gene nucleotide sequences to construct a phylogenetic tree for comparison with other poxviruses. Gene sequences showed 99% homology with vaccinia virus genes and were clustered together with the isolated virus in the phylogenetic tree. Araçatuba virus is very similar to Cantagalo virus, showing the same signature deletion in the gene. Araçatuba virus could be a novel vaccinialike virus or could represent the spread of Cantagalo virus.

Molecular typing of IberoAmerican Cryptococcus neoformans isolates

A network was established to acquire basic knowledge of Cryptococcus neoformans in IberoAmerican countries. To this effect, 340 clinical, veterinary, and environmental isolates from Argentina, Brazil, Chile, Colombia, Mexico, Peru, Venezuela, Guatemala, and Spain were typed by using M13 polymerase chain reaction-fingerprinting and orotidine monophosphate pyrophosphorylase (URA5) gene restriction fragment length polymorphsm analysis with Hhal and Sau961 in a double digest. Both techniques grouped all isolates into eight previously established molecular types. The majority of the isolates, 68.2% (n=232), were VNI (var. grubii, serotype A), which accords with the fact that this variety causes most human cryptococcal infections worldwide. A smaller proportion, 5.6% (n=19), were VNII (var. grubii, serotype A); 4.1% (n=14), VNIII (AD hybrid), with 9 isolates having a polymorphism in the URA5 gene; 1.8% (n=6), VNIV (var. neoformans, serotype D); 3.5% (n=12), VGI; 6.2% (n=21), VGII; 9.1% (n=31), VGIII, and 1.5% (n=5) VGIV, with all four VG types containing var. gattii serotypes B and C isolates.

Invariance for Impulsive Control Systems

In this article, we provide invariance conditions for control systems whose dynamics are given by measure driven differential inclusions. The solution concept plays a critical role in the extension of the conventional conditions for the impulsive control context. A couple of examples illustrating the specific features of impulsive control systems are included.

Diphyllobothriasis, Brazil

Cases of human diphyllobothriasis have been reported worldwide. Only 1 case in Brazil was diagnosed by our institution from January 1998 to December 2003. By comparison, 18 cases were diagnosed from March 2004 to January 2005. All patients who became infected ate raw fish in sushi or sashimi.

PID stabilization of a class of time delay systems

In this paper we use the Hermite-Biehler theorem to establish results for the design of proportional plus integral plus derivative (PID) controllers concerning a class of time delay systems. Using the property of interlacing at high frequencies of the class of systems considered and linear programming we obtain the set of all stabilizing PID controllers. © 2005 IEEE.

Flebotomíneos (Diptera, Psychodidae) de área de cerrado no Município de Corumbataí, Centro-leste do Estado de São Paulo, Brasil.

Distribution and ecology knowledge of sandfly species is essential for epidemiology vigilance and risk determination for transmission of leishmaniasis. Sandfly trapping was carried out in a cerrado strictu sensu vegetation fragment in a rural area of Corumbataí Municipality, São Paulo State, Brazil, during July to November 2004. Two CDC light traps were used from 18h to 8h, once a month, resulting in 112 total hours of capture. During this period, 60 sandfly specimens of ten different species were sampled. The most abundant species and the one found in all captures was Pintomyia monticola totalizing 15 (25.0%) specimens, the second more abundant one was P. pessoai with 14 (23.3%) and the third one was Brumptomyia guimaraesi with 12 (20.0%) individuals collected. Other captured species were Psathyromyia aragaoi, B. avellari, B. brumpti, B. cunhai, P. bianchigalatiae, Evandromyia termitophila and Nyssomyia whitmani which corresponded to 19 (31.2%) specimens captured. Pintomyia pessoai and N. whitmani presence indicates transmission risk of American Cutaneous Leishmaniasis in the area.

Optimal control problems with nonsmooth mixed constraints

In this paper we present a weak maximum principle for optimal control problems involving mixed constraints and pointwise set control constraints. Notably such result holds for problems with possibly nonsmooth mixed constraints. Although the setback of such result resides on a convexity assumption on the extended velocity set, we show that if the number of mixed constraints is one, such convexity assumption may be removed when an interiority assumption holds. © 2008 IEEE.

Avaliação histeroscópica em pacientes com infertilidade

PURPOSE: to describe hysteroscopy findings in infertile patients. METHODS: this was a retrospective series of 953 patients with diagnosis of infertility evaluated by hysteroscopy. A total of 957 patients investigated for infertility were subjected to hysteroscopy, preferentially during the first phase of the menstrual cycle. When necessary, directed biopsies (under direct visualization during the exam) or guided biopsies were obtained using a Novak curette after defining the site to be biopsied during the hysteroscopic examination. Outcome frequencies were determined as percentages, and the χ2 test was used for the correlations. The statistical software EpiInfo 2000 (CDC) was used for data analysis. RESULTS: a normal uterine cavity was detected in 436 cases (45.8%). This was the most frequent diagnosis for women with primary infertility and for women with one or no abortion (p<0.05). Abnormal findings were obtained in 517 of 953 cases (54.2%), including intrauterine synechiae in 185 patients (19.4%), endometrial polyps in 115 (12.1%), endocervical polyps in 66 (6.0%), submucosal myomas in 47 (4.9%), endometrial hyperplasia in 39 (4.1%), adenomyosis in five (0.5%), endometritis (with histopathological confirmation) in four (0.4%), endometrial bone metaplasia in two (0.4%), and cancer of the endometrium in one case (0.1%). Morphological and functional changes of the uterus were detected in 5.6% of the cases, including uterine malformations in 32 (3.4%) and isthmus-cervical incompetence in 21 (2.2%). CONCLUSIONS: intrauterine synechiae were the most frequent abnormal findings in patients evaluated for infertility. Patients with a history of abortion and infertility should be submitted to hysteroscopy in order to rule out intrauterine synechiae as a possible cause of infertility.

Filtering for discrete-time Markov jump systems with network transmitted mode

This paper is concerned with ℋ 2 and ℋ ∞ filter design for discrete-time Markov jump systems. The usual assumption of mode-dependent design, where the current Markov mode is available to the filter at every instant of time is substituted by the case where that availability is subject to another Markov chain. In other words, the mode is transmitted to the filter through a network with given transmission failure probabilities. The problem is solved by modeling a system with N modes as another with 2N modes and cluster availability. We also treat the case where the transition probabilities are not exactly known and demonstrate our conditions for calculating an ℋ ∞ norm bound are less conservative than the available results in the current literature. Numerical examples show the applicability of the proposed results. ©2010 IEEE.

Free time and mixed constrained optimal control problems

We consider free time optimal control problems with pointwise set control constraints u(t) ∈ U(t). Here we derive necessary conditions of optimality for those problem where the set U(t) is defined by equality and inequality control constraints. The main ingredients of our analysis are a well known time transformation and recent results on necessary conditions for mixed state-control constraints. ©2010 IEEE.

Necessary conditions of optimality for state constrained infinite horizon differential inclusions

This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. The cost functional depends on the state variable at the final time, and the dynamics are given by a differential inclusion. Moreover, the optimization is carried out over asymptotically convergent state trajectories. The novelty of the proposed optimality conditions for this class of problems is that the boundary condition of the adjoint variable is given as a weak directional inclusion at infinity. This improves on the currently available necessary conditions of optimality for infinite horizon problems. © 2011 IEEE.

A new sufficient condition for optimal impulsive control problems

In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed. © 2012 IEEE.