We are improving our search experience. To check which content you have full access to, or for advanced search, go back to the old search.

Search

Please fill in this field.
Filters applied:
Algebraic geometry

Search Results

Showing 1-20 of 10,000 results

  1. 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

  2. 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

  3. Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition

    Recent advances in semidefinite programming along with use of the sum of squares decomposition to check nonnegativity have paved the way for...
    Antonis Papachristodoulou, Stephen Prajna in Positive Polynomials in Control
    Chapter

  4. On the Equivalence of Algebraic Approaches to the Minimization of Forms on the Simplex

    We consider the problem of minimizing a form on the standard simplex [equivalently, the problem of minimizing an even form on the unit sphere]. Two...
    Etienne de Klerk, Monique Laurent, Pablo Parrilo in Positive Polynomials in Control
    Chapter

  5. Exploiting Algebraic Structure in Sum of Squares Programs

    We present an overview of several different techniques available for exploiting structure in the formulation of semidefinite programs based on the...
    Pablo A. Parrilo in Positive Polynomials in Control
    Chapter

  6. SOSTOOLS and Its Control Applications

    In this chapter we present SOSTOOLS, a third-party MATLAB toolbox for formulating and solving sum of squares optimization problems. Sum of squares...
    Stephen Prajna, Antonis Papachristodoulou, ... Pablo A. Parrilo in Positive Polynomials in Control
    Chapter

  7. Interior-Point Algorithms for Semidefinite Programming Problems Derived from the KYP Lemma

    We discuss fast implementations of primal-dual interior-point methods for semidefinite programs derived from the Kalman-Yakubovich-Popov lemma, a...
    Lieven Vandenberghe, V. Ragu Balakrishnan, ... Tae Roh in Positive Polynomials in Control
    Chapter

  8. Detecting Global Optimality and Extracting Solutions in GloptiPoly

    GloptiPoly is a Matlab/SeDuMi add-on to build and solve convex linear matrix inequality (LMI) relaxations of non-convex optimization problems with...
    Didier Henrion, Jean-Bernard Lasserre in Positive Polynomials in Control
    Chapter

  9. Polynomials Positive on Unbounded Rectangles

    Given a semialgebraic set $K \subseteq \mathbb{R}^{N}$...
    Victoria Powers, Bruce Reznick in Positive Polynomials in Control
    Chapter

  10. Stabilization of LPV Systems

    We study here the static state-feedback stabilization of linear finite dimensional systems depending polynomially upon a finite set of real, bounded,...
    Pierre-Alexandre Bliman in Positive Polynomials in Control
    Chapter

  11. An LMI-Based Technique for Robust Stability Analysis of Linear Systems with Polynomial Parametric Uncertainties

    Robust stability analysis of state space models with respect to real parametric uncertainty is a widely studied challenging problem. In this paper, a...
    Graziano Chesi, Andrea Garulli, ... Antonio Vicino in Positive Polynomials in Control
    Chapter

  12. Stability of Interval Two–Variable Polynomials and Quasipolynomials via Positivity

    Stability of two-dimensional polynomials arises in fields as diverse as 2D digital signal and image processing ([11], [7], [18]), time-delay systems...
    Dragoslav D. Šiljak, Dušan M. Stipanović in Positive Polynomials in Control
    Chapter

  13. Optimization Problems over Non-negative Polynomials with Interpolation Constraints

    Optimization problems over several cones of non-negative polynomials are described; we focus on linear constraints on the coefficients that represent...
    Yvan Hachez, Yurii Nesterov in Positive Polynomials in Control
    Chapter

  14. A Sum-of-Squares Approach to Fixed-Order H∞-Synthesis

    Recent improvements of semi-definite programming solvers and developments on polynomial optimization have resulted in a large increase of the...
    C.W.J. Hol, C.W. Scherer in Positive Polynomials in Control
    Chapter

  15. A Moment Approach to Analyze Zeros of Triangular Polynomial Sets

    Consider an ideal $I := \langle g_{1} , . . . ,g_{n}\rangle \subset...
    Jean B. Lasserre in Positive Polynomials in Control
    Chapter

  16. References

    Abstract not available
    Trygve Johnsen, Andreas Leopold Knutsen in K3 Projective Models in Scrolls
    Chapter

  19. On weaker notions for Kähler-Ricci solitons

    We show that shrinking Kähler-Ricci solitons over a compact Kähler manifold are gradient shrinking Kähler-Ricci solitons. The proof relies on a...

    Nefton Pali in manuscripta mathematica
    Article 02 July 2024

  20. Characterization of \((\alpha ,\beta )\) biderivations in triangular algebras

    Wasim Ahmed, Mohd Shuaib Akhtar, Muzibur Rahman Mozumder in ANNALI DELL'UNIVERSITA' DI FERRARA
    Article 02 July 2024
Did you find what you were looking for? Share feedback.