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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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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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Virtual Reality in Healthcare
In our modern 21st century, daily life would be unthinkable without computers. Multimedia and virtual reality are useful for people with special...
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Access to Information on Demand by the aid of Digital Talking Books
This chapter addresses the concept and the fundamental ideas of the digital talking book (DTB), with a particular focus on DTBs in the DAISY format....
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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...
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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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Introduction
The topic of this book is the stability analysis of continuous finite dimensional systems. The book consists of 13 chapters and two appendices.
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10. Aizerman’s Problem for Nonautonomous Systems
Let b k (t) (t≥ 0; k=1, ... , n) be real non-negative scalar-valued functions having continuous derivatives up to...
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12. Orbital Stability and Forced Oscillations
Let us consider a system described by the equation...
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1. Preliminaries
In the sequel, C n is an n-dimensional complex Euclidean space and...
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13 Usability of an Assistive Robot Manipulator: Toward a Quantitative User Evaluation
This chapter describes our research activity on the integration of a robotic arm in the environment of persons with disabilities. People who have...
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2 Rehabilitation Robotics from Past to Present – A Historical Perspective
Popular culture presents the image of a robot as a mechanical, humanoid device, often evil in intent. Those with a slightly more informed technical...
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12 Risk Reduction Mechanisms for Safe Rehabilitation Robots
Safety is one of the most important features of rehabilitation robots. However, strategies for safe rehabilitation robots are not yet clarified. A...
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4 Welfare-Oriented Service Robotic Systems: Intelligent Sweet Home & KARES II
Utopia – it would be a society where the welfare of the people is properly guaranteed. In the society, each constituent would live his/her life with...