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The Banach Fixed Point Theorem: selected topics from its hundred-year history
On June 24, 1920 Stefan Banach presented his doctoral dissertation titled O operacjach na zbiorach abstrakcyjnych i ich zastosowaniach do równañ...
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Numerical simulation, existence and uniqueness for solving nonlinear mixed partial integro-differential equations with discontinuous kernels
This study describes a new effective technique for solving mixed partial integro-differential equations that are nonlinear with discontinuous kernels...
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Set-valued Data
Since fuzzy sets are generalizations of ordinary sets, we present in this Chapter the essentials of random set theory for statistics. This material...
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Modeling of Fuzzy Data
Fuzzy data are imprecise data obtained from measurements, perception or by interviewing people. Typically, those data are expressed in linguistic...
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Fuzzy Statistical Analysis and Estimation
In social science research, many decisions, evaluations, or purposes of evaluations are done by surveys or questionnaires to seek for people’s...
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Tests of Hypothesis: Means
In many expositions of fuzzy methods, fuzzy techniques are described as an alternative to a more traditional statistical approach. In this chapter,...
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Fuzzy Time Series Analysis and Forecasting
The problem of system modeling and identification has attracted considerable attention during the past decades mostly because of a large number of...
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A Canonical Form for the Design of Unknown Input Sliding Mode Observers
The concept of sliding mode control [11, 27, 32] has been extended to the problem of the state estimation by an observer, both for linear [10, 32]...
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Practical Higher Order Sliding Mode Control: An Optimal Control Based Approach with Application to Electromechanical Systems
It is well known that the standard features of sliding mode Systems are high accuracy and robustness with respect to various internal and external...
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Switching and Sliding Control of Limit Cycles in Planar Systems – Nonsmooth Bifurcation Techniques
Recently a new technique for controlling (or suppressing) limit cycles has been proposed in the literature [3], [1], [2] which is based on the...
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Finite-Time Stability and Stabilization: State of the Art
Researchers have studied asymptotic stability since its emergence at the end of the 19th and the beginning of the 20th century with the fundamental...
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