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Generalized Chaplygin Problem: Theoretical Analysis and Numerical Experiments
We investigate a modified Chaplygin problem with flight path enclosing the maximum area. A twodimensional controlled plant with simple motion and...
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Extended Extremal Monotone Measures
The basic properties of extended extremal monotone measure are considered, and several variants of their representation are given. In considering... -
Mathematical foundations of the theory of coordinate-operator feedback
We study the control problem for dynamic plants operating under uncertainty, in particular, in the case of unmeasurable external disturbances of...
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A Touch of Convex Analysis
This chapter can be conceived as a substantial course on convex analysis. But it appears here in view of its relationships with other subjects such... -
Application of the Discrete Possibilistic Model of the EFDS to the Evaluation of Expert Knowledge Streams
In this chapter we perform an analysis of Dempster–Shafer temporalized structures and finite possibilistic extremal fuzzy dynamic systems (EFDS) for... -
Introduction
One of the most important directions of fundamental research in data analysis, uncertain information management, and knowledge engineering is the... -
Forecasting Decreasing Financial Risk of the Georgia-Based Organization Industria Kiri Ltd. by a Finite Model of a Possibilistic Dynamic System
A new approach to a fuzzy prediction problem for weakly structurable dynamic systems is presented. In contrast to the existing methods of fuzzy time... -
Summary of Chapters 3–8
Chapters 3–8 propose a new direction in the fundamental quantitative study of weakly structurable complex dynamic systems [118–127, 132, 138, 139]... -
On the Genetic Algorithms Approach and Software Library
Generic algorithms (GAs) operate on a collection of candidate solutions. Each solution is encoded as a finite string of bits. This string is called a... -
Lipschitz global optimization methods in control problems
Many control problems involve the search for the global extremum in the space of states or the parameters of the system under study, which leads to...
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Randomly generating test problems for fuzzy relational equations
Fuzzy relational equations play an important role in fuzzy set theory and fuzzy logic systems. To compare and evaluate the accuracy and efficiency of...
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Modeling of Imperfect Competition on the Labor Market
The social situation of last decades in post-communist countries (especially in countries of the former Soviet Union) has been certainly an extremely... -
Exact solution to the periodic boundary value problem for a first-order linear fuzzy differential equation with impulses
Using the expression of the exact solution to a periodic boundary value problem for an impulsive first-order linear differential equation, we...
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Two-channel adaptive hybrid control of the air-to-fuel ratio and torque of automobile engines
Combined feedforward/feedback control algorithm for highly nonlinear systems was proposed on the basis of the approximating hybrid model. The...
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On the unique solvability of fuzzy relational equations
The solution set of a consistent system of fuzzy relational equations with max-min composition can be characterized by one maximum solution and a...
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Fuzzy identification problem for continuous extremal fuzzy dynamic system
This work deals with the problems of the Continuous Extremal Fuzzy Dynamic System (CEFDS) optimization and briefly discusses the results developed by...
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Elementary and Viscosity Subdifferentials
We devote the present chapter to some fundamental notions of nonsmooth analysis upon which some other constructions can be built. Their main features... -
A genetic algorithm with tournament selection as a local search method
Some sufficient conditions are found under which the generational genetic algorithm with tournament selection first visits a local optimum in...
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Robust stability of systems of linear differential equations with periodic impulsive influence
We give sufficient robust stability conditions for matrix polytopes of linear systems with impulsive influence. The methods of our study are based on...
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Defining and Discovering Communities in Social Networks
The categorization of vertices in a network is a common task across a multitude of domains. Specifically, identifying structural divisions into...