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Equivalence of Fuzzy Subgroups of Finite Abelian Groups
In this chapter, we determine the number of fuzzy subgroups of certain finite Abelian groups with respect to a suitable equivalence relation. This is...
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Lattices of Fuzzy Subgroups
Many results concerning relationships between classes of crisp subsets can be carried over to similar relationships between classes of fuzzy subsets....
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Direct Products of Fuzzy Subgroups and Fuzzy Cyclic Subgroups
In Chapter 6, a necessary and sufficient condition for a fuzzy subgroup to be a weak direct sum of fuzzy subgroups was obtained by employing known...
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Optimal Control of Differential-Algebraic Inclusions
In this paper we consider the following dynamic optimization problem ( P ) governed by differential-algebraic inclusions:...
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A Continuous Control Mechanism for Uncertain Nonlinear Systems
The control of uncertain nonlinear systems is a topic that continues to challenge control theoreticians. This topic is also of practical importance...
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Min–Plus Eigenvector Methods for Nonlinear $\rm H_\infty$ Problems with Active Control
We consider the H 4 problem for a nonlinear s y stem. The corresponding dynamic programming equation (DPE) is a fully nonlinear, first-order,...
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On Impulses Induced by Singular Perturbations
The possibility that a singularly perturbed controlled dynamics generates impulses in a slow dynamics coupled to it, is investigated. A scheme for...
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Lyapunov Functions and Feedback in Nonlinear Control
The method of Lyapunov functions plays a central role in the study of the controllability and stabilizability of control systems. For nonlinear...
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Bifurcation Analysis with Application to Power Electronics
The problem of sudden loss of stability (more precisely, sudden change of operating behaviour) is frequently encountered in power electronics. A...
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Static Bifurcation in Mechanical Control Systems
Feedback regulation of nonlinear dynamical systems inevitably leads to issues concerning static bifurcation. Static bifurcation in feedback systems...
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Global Control of Complex Power Systems
This chapter presents an overview of recent results on an approach to total control of power systems. It is upwards compatible from any conventional...
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Rational Positive Systems for Reaction Networks
The purpose of the lecture associated with this paper is to present problems, concepts, and theorems of control and system theory for a subclass of...
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Completion Problems for Positive Matrices with Minimal Rank
Matrix completion problems studies the partial matrices, that is, a rectangular matrix some of whose entries are specified, and the remainder entries...
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Stability of Linear Systems and Positive Semigroups of Symmetric Matrices
The role of Lyapunov operators in stability theory is well-known. In this paper we present an interesting characterization of Lyapunov operators. We...
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Estimation and Strong Approximation of Hidden Markov Models
We give novel conditions for the existence of the limit of the normalized log-likelihood function for a finite-state continuous read-out Hidden...
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Chaos and Pseudo-Randomness
We discuss the effect on finite machine implementation of chaotic system on randomness. We show that the most significant bit even for fully...
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Application of Bifurcation Analysis to Power Systems
Electric power systems are physically some of the largest and most complex nonlinear systems in the world. Bifurcations are rather mundane phenomena...
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Stability of Nonlinear Hybrid Systems
This work is devoted to stability of nonlinear hybrid systems (or nonlinear systems with regime switching). The switching regime is described by a...
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Gyroscopic Forces and Collision Avoidance with Convex Obstacles
This paper introduces gyroscopic forces as an tool that can be used in addition to the use of potential forces in the study of collision and convex...
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Minimax Nonlinear Control under Stochastic Uncertainty Constraints
We consider in this paper a class of stochastic nonlinear systems in strict feedback form, where in addition to the standard Wiener process there is...