The Relationship Between the Representation of a IIR Digital Filter in the State Space and the Description by the Topological Matrix

Author(s):  
Vladislav Lesnikov ◽  
Tatiana Naumovich ◽  
Alexander Chastikov
1997 ◽  
Vol 1 (2) ◽  
pp. 147-159
Author(s):  
Dirk Meinköhn

For the case of a reaction–diffusion system, the stationary states may be represented by means of a state surface in a finite-dimensional state space. In the simplest example of a single semi-linear model equation given. in terms of a Fredholm operator, and under the assumption of a centre of symmetry, the state space is spanned by a single state variable and a number of independent control parameters, whereby the singularities in the set of stationary solutions are necessarily of the cuspoid type. Certain singularities among them represent critical states in that they form the boundaries of sheets of regular stable stationary solutions. Critical solutions provide ignition and extinction criteria, and thus are of particular physical interest. It is shown how a surface may be derived which is below the state surface at any location in state space. Its contours comprise singularities which correspond to similar singularities in the contours of the state surface, i.e., which are of the same singularity order. The relationship between corresponding singularities is in terms of lower bounds with respect to a certain distinguished control parameter associated with the name of Frank-Kamenetzkii.


Author(s):  
Madan M. Dabbeeru ◽  
Joshua D. Langsfeld ◽  
Petr Svec ◽  
Satyandra K. Gupta

This paper focuses on the development of a follow behavior for an unmanned ground vehicle (UGV) in collaborative scenarios. The scenario being studied involves a human traveling over a rugged terrain on foot. The UGV follows the human. We present an approach for automatically generating a reactive energy-efficient follow behavior that maps the vehicle’s states into motion goals. We start by partitioning the state space that encodes the relationship between the state of the vehicle and the human’s state, and the environment. For each cell in the partitioned state space, we either directly generate the motion goal for the vehicle to execute or a function that produces the motion goal. The motion goal defines not only the location towards which the vehicle should move but also specifies a zero activity zone around the human within which the vehicle is supposed to slow down and remain stationary to save its energy until it gets outside the margin caused by the movement of the human. Our approach utilizes off-line simulations to assess the performance of the generated behavior. Our simulation results show that the automatically generated follow behavior significantly outperforms a simple conservative tracking rule in terms of distance traveled and violation of proximity constraints. We anticipate that the approach presented in this paper will ultimately enable us to implement energy efficient follow behaviors on physical UGVs.


Author(s):  
F. B. H. Jamjoom ◽  
A. H. Al Otaibi

The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C ∗ -algebras) can be described as significant and influential. Examples of numerous relationships have been established. In this article, we established a relationship between the set of split faces of the state space (resp. normal states) of a JC-algebra (resp. a JW-algebra) and the set of split faces of the state space (resp. normal states) of its universal enveloping C ∗ -algebra (resp. von Neumann algebra), and we tied up this relationship with the correspondence between the classes of invariant faces, closed ideals, and central projections of these Jordan algebras and of their universal enveloping algebras.


2021 ◽  
Vol 1 (1) ◽  
pp. 1-18
Author(s):  
Stephen Connelly

The chapter explores the relationship between Locke and Leibniz's account of space and how this impacts on their understanding of possibility, and particularly practical choices between possibilities within a modal space. Using Borges' short story 'Pierre Menard, author of the Quixote' it argues that Locke's acquiescence to absolute space severly restricts his account of the power to do things. Leibniz's retention of relative space permits a much richer account of possible, yet he binds these worlds together under a universal set of principles which are morally true in every possible world. He calls these morally impossible (prohibited), echoing the Scholastic language of repugnance. 'Menard' is employed to critique this resort to universality, before an alternative possible truth structure is sketched as a response to the 'self-evident' truths defended by Leibniz.


Author(s):  
Valery Nikolayevich Ustimenko ◽  
Gennadiy Vasilyevich Khodakov

To investigate in succession the dynamics of monoterpenic hydrocarbons biosynthesis in plants of genus Artemisia the algorithm, which connects the intermediates analysis of results after each stage processes and the comparison of theoretical conclusions with new experimental data is developed in this article. It is proved that the uniform kinetic model of chemical essential compounds transformations in a stream from the glucose, mevalonate and isoprene to monoterpenes developed by authors is universal kinetics model in order to explain the connatural biosynthesis of monoterpenes in any ethereous carrier plants. There are founded some kinetic (by specific velocities of biochemical stages of metamorphosis) and a balance sheet (by rations between ring closure degrees) relations during the monoterpenes connatural biosynthesis corresponding to the vegetative phases. The state space model (SSM) for open nonlinear biochemical system is compounded. In this model macroscopic metamorphosis of essential substances is introduced as the sequence of vector's micro-alterations (or a velocity of the modification of a system's biochemical composition) in a orthogonal system of co-ordinates. At the application of the model to substantiate with the theory of a kinetic chemo-systematics, which becomes clear correlations between plants-producers is offered. The biochemical substantiation of individual distinctive indications between plants of genus Artemisia for seven types is introduced, such as: A.abrotanum, A.annua, A.dracunculus, A.glauca, A.scoparia (two c hemostrains) and A.taurica. The mathematical model of molecular-and-phylogenetic exposition of the relationship in a flora based on the example of genus Artemisia is compounded. The influence of environmental factors on kinetic parameters of monoterpenes biosynthesis in plants of the genus A.scoparia from different regions of their growth by means of comparative graph-analytic and matrix analyses of their accumulation dynamics in plants by own results of the experiment and the literary data with the made by authors modeling calculations is proved. The possibility to combine the systematization of plants based on morph-anatomic principles and chemo-regular principles based on the kinetic particularities of monoterpenes biosynthesis during the chemo-phases in vegetative taxons is shown.


2015 ◽  
Vol 36 (1) ◽  
pp. 1-10
Author(s):  
Andrew Comensoli ◽  
Carolyn MacCann

The current study proposes and refines the Appraisals in Personality (AIP) model in a multilevel investigation of whether appraisal dimensions of emotion predict differences in state neuroticism and extraversion. University students (N = 151) completed a five-factor measure of trait personality, and retrospectively reported seven situations from the previous week, giving state personality and appraisal ratings for each situation. Results indicated that: (a) trait neuroticism and extraversion predicted average levels of state neuroticism and extraversion respectively, and (b) five of the examined appraisal dimensions predicted one, or both of the state neuroticism and extraversion personality domains. However, trait personality did not moderate the relationship between appraisals and state personality. It is concluded that appraisal dimensions of emotion may provide a useful taxonomy for quantifying and comparing situations, and predicting state personality.


1970 ◽  
Vol 4 (2) ◽  
pp. 284-295
Author(s):  
Muridan Muridan

M. Natsir was one of the most prominent figures in religious discourse and movement in Indonesia. He was ada’wa reformer as well as a politician and a statesman.His most well known ideas were about the relationship between Islamand state, Islam and Pancasila, and his idea on da’wa. He stated that a country would be Islamic because of neither itsformal name as an Islamic state nor its Islamic state principles. The principles of the state could be generally formulated aslong as they referred to the Islamic values. Natsir also stated that the essence of Pancasila didn’t contradict with Islam; evensome parts of it went after the goals of Islam. However, it didn’t mean that Pancasila was identical with Islam. In relation toda’wa, he stated that it should be the responsibility of all Muslims, not only the responsibility of kiai or ulama. To make a da’wamovement successful, he suggested that it needed three integrated components; masjid, Islamic boarding school, andcampus.


1970 ◽  
Vol 3 (1) ◽  
pp. 63-74
Author(s):  
Muridan Muridan

M. Natsir was one of the most prominent figures in religious discourse and movement in Indonesia. He was ada’wa reformer as well as a politician and a statesman. His most well known ideas were about the relationship between Islamand state, Islam and Pancasila, and his idea on da’wa. He stated that a country would be Islamic because of neither itsformal name as an Islamic state nor its Islamic state principles. The principles of the state could be generally formulated aslong as they referred to the Islamic values. Natsir also stated that the essence of Pancasila didn’t contradict with Islam; evensome parts of it went after the goals of Islam. However, it didn’t mean that Pancasila was identical with Islam. In relation toda’wa, he stated that it should be the responsibility of all Muslims, not only the responsibility of kyai or ulama. To make ada’wamovement successful, he suggested that it needed three integrated components; masjid, Islamic boarding school, andcampus.


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