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We define the notion of convex-monotone system and prove that for such systems the state trajectory x(⋅) is a convex function of the initial state x(0) and the input trajectory u(⋅). This observation gives a useful class of nonlinear dynamical systems for which control design can be performed by convex optimization. Applications to evolutionary dynamics of diseases and voltage stability in power n
This technical note investigates the model reduction problem for mean square stable discrete time Markov jump linear systems. For this class of systems a balanced truncation algorithm is developed. The reduced order model is suboptimal, however the approximation error, which is captured by means of the stochastic L2 gain, is bounded from above by twice the sum of singular numbers associated to the
Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of indistinguishable drivers commuting between a common origin/destination pair in an acyclic transportation network. The drivers' route choices are affected by their, r
This study gives a short description of nonequilibrium and many body effects in realistic simulation of intersubband emitters. Calculations are based on the self-consistent solution of the quantum kinetic equations under operating steady-state conditions. Scattering with phonons is included by means of a self-energy in the Dyson equation, and electron-electron interaction is treated in mean field
The western fertility decline is arguably the most significant demographic change to have occurred in the past 200 years, yet its causes and processes are still shrouded in ambiguity due to a lack of individual-level longitudinal data. A growing body of research has helped improve our understanding of the decline's causes by examining the development of socioeconomic differences in fertility using
With larger penetrations of wind power, the uncertainty increases in power systems operations. The wind power forecast errors must be accounted for by adapting existing operating tools or designing new ones. A switch from the deterministic framework used today to a probabilistic one has been advocated. This two-part paper presents a framework for risk-based operations of power systems. This framew
Operating criteria for power systems, such as theN−1-criterion, are often based on evaluating whether the system is vulnerable to a specific set of contingencies. Therefore, a major part of power system security is concerned with establishing regions in parameter space where the system is vulnerable to specific contingencies. In this article we exploit the possibility of using Monte Carlo simulati
This paper analyses an impact of religious practice on the development of the tense system, in particular the future tense. There have been rich typological studies on the tense, which reveal that a basic tense distinction is either past vs. non-past or past vs. present vs. future in most languages. From evolutionary/historical perspectives, the former case is older than the latter one, i.e. the f
The problem of modeling and controlling re- sources in a system with interaction between hardware and software is considered. A model encompassing both hardware and software dynamics is developed together with an on- line estimation scheme in order reduce dependence on a- priori information. A control structure is presented in order to control performance under constrained resource situations and
Grafchart is a graphical programming language for sequential control applications. It exists in two versions: the basic version (BV) and the high-level version (HLV). The currently used Grafchart tool, JGrafchart, only supports BV. To enable further research on HLV, it must be supported by JGrafchart. Since HLV is a superset of BV it is desirable to add it as an extension to the current implementa
