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  1. 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...
    Christopher I. Byrnes, Giovanna Fanizza, Anders Lindquist in New Directions and Applications in Control Theory
    Chapter

  2. 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...
    Mattias Ringkvist, Yishao Zhou in New Directions and Applications in Control Theory
    Chapter

  3. 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...
    Florent Delmotte, Magnus Egerstedt in New Directions and Applications in Control Theory
    Chapter

  4. 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...
    Michael Farber in Algorithmic Foundations of Robotics VI
    Chapter

  5. 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...
    Itay Lotan, Henry van den Bedem, ... Jean-Claude Latombe in Algorithmic Foundations of Robotics VI
    Chapter

  6. 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...
    Zachary Jarvis-Wloszek, Ryan Feeley, ... Andrew Packard in Positive Polynomials in Control
    Chapter

  7. 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...
    Didier Henrion in Positive Polynomials in Control
    Chapter

  8. 5. Nonlinear Systems with Autonomous Linear Parts

    Denote $\displaystyle \Omega(r) = \{h \in C^n : \vert\vert h \vert\vert \leq...
    Michael I. Gil’ in Explicit Stability Conditions for Continuous Systems
    Chapter

  9. 11. Input-to-State Stability

    Let us consider a system described by the following equation in a Euclidean space C n :...
    Michael I. Gil’ in Explicit Stability Conditions for Continuous Systems
    Chapter

  11. 9. Lur’e Type Systems

    In the present chapter we investigate the asymptotic stability of the system...
    Michael I. Gil’ in Explicit Stability Conditions for Continuous Systems
    Chapter

  12. 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...
    I. Truck, H. Akdag in Fuzzy Systems Engineering
    Chapter

  13. 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...
    Zhengguo Li, Yengchai Soh, Changyun Wen in Switched and Impulsive Systems
    Chapter

  14. 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...
    Eli Gershon, Uri Shaked, Isaac Yaesh in H∞-Control and Estimation of State-multiplicative Linear Systems
    Chapter

  15. Stability

    This chapter is devoted to the study of the stability for singular systems in both the continuous and discrete contexts. The definitions of...
    Shengyuan Xu, James Lam in Robust Control and Filtering of Singular Systems
    Chapter

  16. 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...
    Shengyuan Xu, James Lam in Robust Control and Filtering of Singular Systems
    Chapter

  17. 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...
    Panagiotis D. Christofides, Nael H. El-Farra in Control of Nonlinear and Hybrid Process Systems
    Chapter

  18. 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...
    Michael W. Hofbaur in Hybrid Estimation of Complex Systems
    Chapter

  19. 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...
    Gregory S. Ammar, William B. Gragg, Chunyang He in New Directions and Applications in Control Theory
    Chapter

  20. 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...
    Dorothy Wallace in New Directions and Applications in Control Theory
    Chapter
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