This paper deals with optimal control problems for systems that are affine in one part of the control variables and nonlinear in the rest of the control variables. We have finitely many equality and inequality constraints on the initial and final states. First we obtain second order necessary and sufficient conditions for weak optimality. Afterwards, we propose a shooting algorithm, and we show...

THE PURPOSE OF THIS RESEARCH PAPER IS TO COMPARE HEALTH CARE SYSTEMS IN THREE HIGHLY ADVANCED INDUSTRIALIZED COUNTRIES: The United States of America, Canada and Germany. The first part of the research paper will focus on the description of health care systems in the above-mentioned countries while the second part will analyze, evaluate and compare the three systems regarding equity and efficien...

This paper concerns the model predictive control applied to the systems with bounded uncertainties. These systems are described by a state-space model with uniformly distributed states and outputs with unknown bounds of respective distributions. The model matrices are assumed to be known. The approximate estimation of states and noise bounds is based on the Bayesian approach. A state-space gene...

The Lyapunov stability method is the most popular and applicable stability analysis tool of nonlinear dynamic systems. However, there are some bottlenecks in the Lyapunov method, such as need for negative definiteness of the Lyapunov function derivative in the direction of the system’s solutions. In this paper, we develop a new theorem to dispense the need for negative definite-ness of Lyapunov...

deposited with the Secretary-General of the United Nations. In accordance with its Article 25.2, the Convention will enter into force for Nicaragua three months after the date of deposit of the instrument of accession, that is, on 10 August 2000. Accession by Nicaragua brings to sixty-four the total number of States that have deposited an instrument of ratification or acceptance of, or accessio...

Despite providing robustness, high-gain observers impose a peaking phenomenon, which may cause instability, on the system states. In this paper, an adaptive saturation is proposed to attenuate the undesirable mentioned phenomenon in high-gain observers. A real-valued and differentiable sigmoid function is considered as the saturating element whose parameters (height and slope) are adaptively tu...

Application development in the Internet of Things (IoT) is challenging because it involves dealing with a wide range of related issues such as lack of separation of concerns, and lack of high-level of abstractions to address both the large scale and heterogeneity. Moreover, stakeholders involved in the application development have to address issues that can be attributed to different life-cycle...