controllability of systems
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2021 ◽  
Vol 11 (2) ◽  
pp. 34-45
Author(s):  
Fernando Chavez-Finol ◽  
Maureen Trebilcock-Kelly ◽  
María Beatriz Piderit-Moreno

Few studies focus on researching the potential of sustainable buildings to promote the sustainability of their occupants. Therefore, this study aims at analyzing the use of LEED credits, with the intention of promoting pro-environmental behaviors. The methodology is exploratory in nature, with a descriptive logic, and comparatively analyzes LEED-certified office buildings [Argentina (n = 351); Chile (n = 494); Colombia (n = 432); and Peru (n = 282)], between 2012 and 2020. The results revealed that the most used credits were: "Access to Public Transportation", (99.34%); “Surrounding Density”; (98.34%); and, “Tenant construction and design guidelines”, (96.53%); and the least used ones were: “Enhanced commissioning”, (44.30%); "Daylight" (31.31%); and, "Controllability of systems", (7.53%). It is concluded that those who choose to include the occupant in the design, choose to intervene in the culture, while those who choose not to include them, choose technology.


2021 ◽  
Vol 55 (2 (255)) ◽  
pp. 123-130
Author(s):  
Samvel H. Jilavyan ◽  
Asatur Zh. Khurshudyan

The concept of averaged controllability has been introduced relatively recently aiming to analyse the controllability of systems or processes containing some important parameters that may affect the controllability in usual sense. The averaged controllability of various specific and abstract equations has been studied so far. Relatively little attention has been paid to averaged controllability of coupled systems. The averaged state of a thermoelastic rectangular plate is studied in this paper using the well-known Green's function approach. The aim of the paper is to provide a theoretical background for further exact and approximate controllability analysis of fully coupled thermoelasticity equations which will appear elsewhere.


Author(s):  
Agamirza BASHIROV

It is difficult to prove a capable sufficient condition for the exact controllability of systems containing nonlinearities and randomness. As a result, scientists are investigating the concept of approximate controllability for such systems. In this paper, we handle the so-called C-controllability, which was suggested as a weaker analog of the exact controllability at the beginning of the period when controllability issue oversteps to stochastic systems. We prove a sufficient condition of C-controllability for a semilinear stochastic system driven by a Wiener process. This sufficient condition is verified on examples. Two ways of improvement of this sufficient condition are discussed.


2021 ◽  
Vol 24 (2) ◽  
pp. 175-183
Author(s):  
S. M. Khryashchev

Control systems with a finite number of control settings are considered. It is assumed that any polysystem operates in continuous time and control switchings occur at some certain discrete time instants. A control goal is to transfer a polysystem from an initial state to a final state. Controllability of systems switched in discrete time is studied. Controls are constructed by using the theory of generalized multicomponent continued fractions and the congruences theory. Applications of the proposed control method to specific systems are discussed.


2020 ◽  
Vol 65 (10) ◽  
pp. 3977-3990 ◽  
Author(s):  
Jiajia Jia ◽  
Harry L. Trentelman ◽  
Wouter Baar ◽  
M. Kanat Camlibel

2020 ◽  
Vol 269 (6) ◽  
pp. 4609-4642
Author(s):  
Matthieu F. Pinaud ◽  
Hernán R. Henríquez

Author(s):  
Xiaowen Wang ◽  
JinRong Wang ◽  
Michal Fečkan

This paper deals with complete controllability of systems governed by linear and semilinear conformable differential equations. By establishing conformable Gram criterion and rank criterion, we give sufficient and necessary conditions to examine that a linear conformable system is null completely controllable. Further, we apply Krasnoselskii’s fixed point theorem to derive a completely controllability result for a semilinear conformable system. Finally, three numerical examples are given to illustrate our theoretical results.  


Author(s):  
A. Yu. Pavlov

In the article necessary conditions for a controllability of systems of nonlinear differential equations in an infinite time are obtained without assuming the existence of an asymptotic equilibrium for the system of linear approximation. Thus, a new class of controlled systems of differential equations is presented. The problem of controllability for an infinite time (i.e. the transfer of an arbitrary point into an arbitrary small domain of another point) comes down to choosing an operator depending on the selected control, which in turn depends on the point being transferred. Then one is to prove the existence of a fixed point for this operator. It is known that the theorems on controllability require existence of an asymptotic equilibrium for system of the first approximation. It is shown in the paper that in general case the condition of asymptotic equilibrium’s existence is not necessary for controllability of systems in an infinite time. An example on the theorem on controllability for an infinite time is given. The theorem generalizing Vazhevsky inequality is proved by implementation of Cauchy-Bunyakovsky inequality. A remark is made about the theorem’s validity for the case when the matrix and vector from the right-hand side of nonlinear differential equation are complex and x is vector with complex components. Basing on the left-hand side of the inequality in the theorem generalizing Vazhevsky inequality, the necessary conditions for controllability in an infinite time are obtained. These conditions are verified on the same example of a scalar equation that was mentioned before.


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