scholarly journals Generalized stability of motion of impulsive Lurie-Postnikov systems with structural perturbation

1998 ◽  
Vol 11 (4) ◽  
pp. 481-492 ◽  
Author(s):  
A. A. Martynyuk ◽  
I. P. Stavroulakis

This paper investigates the absolute stability on ℊs of the zero solution of Lurie-Postnikov systems with impulses and structural perturbation. A number of absolutely stable on ℊs theorems of the Lyapunov type for Lurie-Postnikov systems are proved, extending and generalizing previous work on the subject. These results are applied to some fourth-order Lurie-Postnikov type systems decomposed into two systems.

Author(s):  
Rafael F Pinheiro ◽  
Diego Colón

The goal of this paper is to present a different approach to the analysis of the absolute stability of Lurie type systems in the single-input-single-output (SISO) case using robust control theory. The proposed technique enables the design of controllers via [Formula: see text] mixed-sensitivity (S/KS/T), where, besides making the system absolutely stable, the performance problem can also be solved. In addition, it is also demonstrated that it is possible to make use of this new approach in time-delay Lurie type systems. Thus, through a new methodology, this work paves the way to the study of the absolute stability of multiple-inputs-multiple-outputs (MIMO) systems, aiming at a better generalization of the theory and enabling applications in other areas, such as neural networks. Examples, numerical simulations and application in Chua’s circuit are given to illustrate the results.


2015 ◽  
Vol 55 (1) ◽  
pp. 189-198
Author(s):  
Cemil Tunç

AbstractA vector functional differential equation of the fourth order with multiple deviating arguments is considered. New sufficient conditions are established to guarantee the instability of the zero solution of the equation to be considered. We give an example to illustrate the subject.


2018 ◽  
Vol 77 (1) ◽  
pp. 48-54
Author(s):  
Jerzy Kosiewicz

Abstract In the presented text the author points out to anthropological as well as axiological foundations of the boxing fight from the viewpoint of Hegel’s philosophy. In the genial idealist’s views it is possible to perceive the appreciation of the body, which constitutes a necessary basis for the man’s physical activity, for his work oriented towards the self-transformation and the transformation of the external world, as well as for rivalry and the hand-to-hand fight. While focusing our attention on the issue of rivalry and on the situation of the fight - and regarding it from the viewpoint of the master - slave theory (included in the phenomenology of spirit), it is possible to proclaim that even a conventionalised boxing fight - that is, restricted by cultural and sports rules of the game - has features of the fight to the death between two Hegelian forms of selfknowledge striving for self-affirmation and self-realisation. In the boxing fight, similarly as in the above mentioned Hegelian theory, a problem of work and of the development of the human individual (that is, of the subject, self-knowledge, the participant of the fight) appears. There appears also a prospect of death as a possible end of merciless rivalry. The fight revalues the human way in an important way, whereas the prospect for death, the awareness of its proximity, the feeling that its close and possible, saturates the life with additional values. It places the boxer, just like every subject fighting in a similar or a different way, on the path towards absolute abstraction - that is, it brings him closer to his self-fulfilment in the Absolute, to the absolute synthesis. The Hegelian viewpoint enables also to appreciate the boxing fight as a manifestation of low culture (being in contrast with high culture), to turn attention to the relations which - according to Hegel - take place between the Absolute and the man, as well as to show which place is occupied by the subject both in the process of the Absolute’s self-realisation and in the German thinker’s philosophical system. Independently of the dialectical, simultaneously pessimistic and optimistic overtone of considerations connected with the very boxing fight (regarding destruction and spiritualisation on a higher level), it is possible to perceive farreaching appreciation of the human individual in Hegel’s philosophy since the Absolute cannot make its own self-affirmation without the individual, without the human body, without the fight aimed at the destruction of the enemy and without the subjective consciousness and the collective consciousness which appear thanks to this fight. Thus, it is justified to suppose that the foundation of the whole Hegel’s philosophy is constituted by anthropology and that in the framework of this anthropology a special role is played by the fight and by work, which changes the subject and his(her) environment. Admittedly Hegel does not emphasise it explicitly, nevertheless his views (with their centre, which, according to Hegel himself and his interpreters, is constituted by the Absolute) have, as a matter of fact, an anthropocentric character and the main source of the subject’s development is the struggle which, irrespectively of its result, always primarily leads to the destruction or even to the death of one of the sides, just like in the boxing fight. However, it is also a germ of the positive re-orientation of the subject, the beginning and a continuation of that what the phenomenology of the spirit describes as a movement towards absolute abstraction.


Author(s):  
Sven Arntzen

Dignity, according to one conception, is the absolute, inherent and inalienable value of every person. There is general agreement that this idea of dignity has a source in Immanuel Kant’s moral philosophy. I argue that Kant formulates what I characterize as an agency or agent based conception of dignity. Persons are bearers of dignity in their capacity as moral subjects and subjects of action. Central here is the idea that a rational agent is the subject of “any end whatsoever” and so must be considered the free cause of actions. Accordingly, to be treated merely as a thing, or “as a means”, is to be treated in a manner incompatible with having and acting for the sake of any end of one’s choosing. Also relevant in this connection is Alan Gewirth’s agency based theories of dignity and of human rights. I then consider this conception of dignity in addressing three ethical issues: to let die or keep alive, assisted suicide, and so-called dwarf-tossing. Finally, I consider challenges to the idea of dignity in general and the agency based conception of dignity in particular.


2020 ◽  
Vol 8 (1) ◽  
pp. 08-15 ◽  
Author(s):  
Sergey Mikhailovich Afonin

We obtained the condition absolute stability on the derivative for the control system of electromagnetoelastic actuator for communication equipment. We applied the frequency methods for Lyapunov stable control system to calculate the condition absolute stability control system of electromagnetoelastic actuator. We used Yakubovich criterion absolute stability system with the condition on the derivative. The aim of this work is to determine the condition of the absolute stability on the derivative for the control system of electromagnetoelastic actuator. We received the stationary set of the control system of the hysteresis deformation of the electromagnetoelastic actuator. The stationary set is the segment of the straight line.


2020 ◽  
pp. 148-174
Author(s):  
Aleida Assmann

This chapter demonstrates how the problems of “polar inertia” and its implications have been the subject of intensified philosophical reflection and debate since the 1980s. Polar inertia is the condition in which we have arrived at a temporal limit. However, we have also arrived at the absolute dead end of the modern time regime, in terms of both its compatibility with the rhythms of human life and the logic internal to the dynamics it has unleashed. The positions taken all grapple with the aporias, or inner contradictions, of the modern temporal regime and its possible alternatives or compensations. However, they do not lose sight of the epistemic presuppositions of this temporal ontology in the process.


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