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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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Out-of-Plane Vibrations of Plane Frames
The frame vibrations studied in Chaps. 3 to 5 are for in-plane vibrations. If a plane frame acted upon by a force or horizontal ground vibration in...
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Vibrations of Frames with Inclined Members
The model established for the vibration of the inclined bars in the last chapter now is applied to two- and three-bar frames with inclined members.
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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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Stability
This chapter is devoted to the study of the stability for singular systems in both the continuous and discrete contexts. The definitions of...
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H∞ Filtering
The H∞ filtering problem for state-space systems has received much attention in the past two decades. In the H∞ setting, the noises are assumed to be...
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Control of Nonlinear Systems with Uncertainty
In this chapter, we consider nonlinear systems with time-varying uncertain variables and present robust inverse optimal controller designs that...
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5 Case Studies
This section demonstrates our hybrid estimation scheme on the basis of the illustrative 3-component cPHA and the BIO-Plex process automation example...
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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...