Invariant Sets of Nonlinear Discrete Systems with Bounded Disturbances and Control Problems

2009 ◽  
Vol 41 (11) ◽  
pp. 1-16 ◽  
Author(s):  
Vsevold M. Kuntsevich ◽  
Boris T. Polyak
Keyword(s):  
Discrete Systems ◽  
Invariant Sets ◽  
Control Problems ◽  
Bounded Disturbances ◽  
And Control ◽  
Nonlinear Discrete Systems

Analysis of Some Classes of Nonlinear Discrete Systems Under Bounded Disturbances

1998 ◽  
Vol 31 (17) ◽  
pp. 273-278 ◽  
Author(s):  
Vsevolod M. Kuntsevich ◽  
Boris N. Pshenitchnyi
Keyword(s):  
Discrete Systems ◽  
Bounded Disturbances ◽  
Nonlinear Discrete Systems

scholarly journals Fejér Polynomials and Control of Nonlinear Discrete Systems

2019 ◽  
Vol 51 (2) ◽  
pp. 383-412 ◽  
Author(s):  
D. Dmitrishin ◽  
P. Hagelstein ◽  
A. Khamitova ◽  
A. Korenovskyi ◽  
A. Stokolos
Keyword(s):  
Discrete Systems ◽  
And Control ◽  
Nonlinear Discrete Systems

scholarly journals On a class of linear continuous-discrete systems with discrete memory

2020 ◽  
Vol 30 (3) ◽  
pp. 385-395
Author(s):  
V.P. Maksimov
Keyword(s):  
Discrete Systems ◽  
Explicit Representation ◽  
Control Problems ◽  
Linear Boundary ◽  
Small Perturbations ◽  
System Parameters ◽  
Functional Differential Systems ◽  
Functional Differential ◽  
And Control ◽  
Cauchy Operator

A class of linear functional differential systems with continuous and discrete times and discrete memory is considered. An explicit representation of the principal components to the general solution representation such as the fundamental matrix and the Cauchy operator is derived. The obtained representation is given in terms of the system parameters and opens a way towards efficient studying general linear boundary value problems and control problems with respect to a fixed collection of linear on-target functionals. In the study of the problems mentioned above outside the class under consideration, the systems with discrete memory can be employed as model or approximating ones. This can be useful as applied to systems with aftereffect under studying rough properties that hold under small perturbations of the parameters.

Parameter Normalization in Multibody Dynamics

2008 ◽  
Author(s):  
Saeed Ebrahimi ◽  
Jo´zsef Ko¨vecses
Keyword(s):  
Parameter Estimation ◽  
Multibody Dynamics ◽  
Eigenvalue Problems ◽  
Physical Structure ◽  
Control Problems ◽  
Inertial Parameters ◽  
Parametric Studies ◽  
Novel Concept ◽  
And Control

In this paper, we introduce a novel concept for parametric studies in multibody dynamics. This is based on a technique that makes it possible to perform a natural normalization of the dynamics in terms of inertial parameters. This normalization technique rises out from the underlying physical structure of the system, which is mathematically expressed in the form of eigenvalue problems. It leads to the introduction of the concept of dimensionless inertial parameters. This, in turn, makes the decomposition of the array of parameters possible for studying design and control problems where parameter estimation and sensitivity is of importance.

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