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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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Arithmetic Properties of Observable Time Dependent Systems
Here we consider questions of discrete observability for linear systems of ordinary differential equations, extending work by Martin and Smith in...
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Endomorphisms of Hopf Algebras and a Little Bit of Control
Firstly this paper summarizes some of the the relations between control theory and coalgebra and Hopf algebra theory, particularly the fact that the...
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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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Coordinating Multiple Droplets in Planar Array Digital Microfluidics System
This paper presents an approach to coordinate the motions of droplets in digital microfluidic systems used for biochemical analysis. A digital...
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Multi View and Multi Scale Image Based Visual Servo For Micromanipulation
In this article, we present vision-based techniques for solving some of the problems of micromanipulation. Manipulation and assembly at the micro...
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Sequential Pattern Mining*
Sequential pattern discovery has emerged as an important research topic in knowledge discovery and data mining with broad applications. Previous...
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Discovering the Factors Affecting the Location Selection of FDI in China*
Since the late 1970s, Foreign Direct Investment (FDI) has played an important role in the economic development of China. However, the growth of FDI...
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6 Beamforming Combined with Multi-channel Acoustic Echo Cancellation
For audio signal acquisition, beamforming microphone arrays can be efficiently used for enhancing a desired signal while suppressing...
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4 Optimum Beamforming for Wideband Non-stationary Signals
Array processing techniques strive for extraction of maximum information from a propagating wave field using groups of sensors, which are located at...
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1. Preliminaries
In the sequel, C n is an n-dimensional complex Euclidean space and...
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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. Switched Scalable Video Coding Systems
Scalable video coding means that a video sequence is only encoded once and the coded bitstream has the capability of sending any sub-bitstream...
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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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5 The Production Cell Example
This chapter explains how to model and control a benchmark example, the Production Cell, using the State Tree Structure (STS) methodology. We will...
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Linear Reconfiguration Problem
In this chapter, the general reconfiguration problem is specialised by applying it to linear systems. The advantage is that the problem can be broken...
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Marginal Filter Stability
Two fundamental aspects in the use of the Kalman Filter for simultaneous localization and map** are the issues of observability and...
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C Sigma Points
A set of p + 1 sigma points $\mathcal{S} = \{\mathcal{X}^i, W^i\}$...
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An Efficient QR Algorithm for a Hessenberg Submatrix of a Unitary Matrix
We describe an efficient procedure for implementing the Hessenberg QR algorithm on a class of matrices that we refer to as subunitary matrices. This...