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Evolution of the Internet Topology and Traffic Dynamics of Data Packets
In recent years, the Internet has become one of the most influential media in our daily life, going beyond in its role as the basic infrastructure in...
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Orbit Dynamics, Stability and Chaos in Planetary Systems
Let us start with a problem of dynamical biology, which was posed about 800 years ago by Fibonacci1
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A Homotopy Continuation Solution of the Covariance Extension Equation
Algebraic geometry plays an important role in the theory of linear systems for (at least) three reasons. First, the Laplace transform turns...
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On Existence and Nonexistence of Limit Cycles for FitzHugh-Nagumo Class Models
In this paper we discuss the existence and non-existence of limit cycles of FitzHugh-Nagumo class models. The purpose is to clarify some unclear...
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From Empirical Data to Multi-Modal Control Procedures
In this paper we study the problem of generating control programs, i.e. strings of symbolic descriptions of control-interrupt pairs (or modes) from...
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Collision Free Motion Planning on Graphs
A topological theory initiated in [4,5] uses methods of algebraic topology to estimate numerically the character of instabilities arising in motion...
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Computing Protein Structures from Electron Density Maps: The Missing Fragment Problem
Rapid protein structure determination relies greatly on the availability of software that can automatically generate a protein model from an...
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The Kernel Memory Concept – A Paradigm Shift from Conventional Connectionism
In this chapter, the general concept of kernel memory (KM) is described, which is given as the basis for not only representing the general notion of...
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Control Applications of Sum of Squares Programming
We consider nonlinear systems with polynomial vector fields and pose two classes of system theoretic problems that may be solved by sum of squares...
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LMI Optimization for Fixed-Order H∞ Controller Design
A general H∞ controller design technique is proposed for scalar linear systems, based on properties of positive polynomial matrices. The order of the...
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Modelling Abstract Notions Relevant to the Mind and the Associated Modules
This chapter is devoted to the remaining four modules within the AMS, i.e. 1) attention, 2) emotion, 3) intention, and 4) intuition module, and their...
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5. Nonlinear Systems with Autonomous Linear Parts
Denote $\displaystyle \Omega(r) = \{h \in C^n : \vert\vert h \vert\vert \leq...
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11. Input-to-State Stability
Let us consider a system described by the following equation in a Euclidean space C n :...
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Existence of Steady States. Positive and Nontrivial Steady States
Let us consider in C n the nonlinear equation...
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9. Lur’e Type Systems
In the present chapter we investigate the asymptotic stability of the system...
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A Qualitative Approach for Symbolic Data Manipulation Under Uncertainty
In decision making problems, the experts knowledge has different natures: numerical, interval-valued, symbolic, linguistic, . . . In other terms, the...
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4. Stability of Nonlinear Switched and Impulsive Systems
In this chapter, we shall study the stability of nonlinear switched and impulsive systems of the form...
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4 Continuous-time Systems: Tracking Control
In this chapter we treat the problem of H∞ tracking with stochastic multiplicative white noise. We extend the work of [98], which does not involve...
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Coupled Map Lattices: at the Age of Maturity
Coupled Map Lattices (CML) were simultaneously and independently introduced by K. Kaneko, R. Kapral and S. Kuznetsov in 1983–84 [1, 2, 3, 4, 5, 6]....
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Deterministic Control Theory
In this chapter we focus our attention on the open loop control of deterministic problems. We will see that the language of deterministic control...