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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... -
Modeling of Fuzzy Data
Fuzzy data are imprecise data obtained from measurements, perception or by interviewing people. Typically, those data are expressed in linguistic... -
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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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]... -
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... -
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... -
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... -
Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In... -
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6 The Modified Taught Data Method
In order to realize the movement of an industrial robot, the given objective trajectory is always used without any change when their coordinate... -
Linear map**s on ordered vector spaces
Before we can start to analyze the generalized Riccati operators derived in the previous chapter, we have to deal with generalized Lyapunov operators... -
Optimal stabilization of linear stochastic systems
Having introduced and motivated our concepts of stochastic control systems in the previous chapter we now turn to optimal and suboptimal...