Positive Polynomials in Control

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Henrion, Didier (Επιμελητής έκδοσης), Garulli, Andrea (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Σειρά: Lecture Notes in Control and Information Science, 312
• Θέματα: Engineering.; Algebraic geometry.; System theory.; Vibration.; Dynamical systems.; Dynamics.; Control engineering.; Robotics.; Mechatronics.; Control.; Control, Robotics, Mechatronics.; Vibration, Dynamical Systems, Control.; Systems Theory, Control.; Algebraic Geometry.

Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathem...

Πίνακας περιεχομένων:

• From the contents: Part I Control Applications of Polynomial Positivity Control Applications of Sum of Squares Programming; Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition; A Sum-of-Squares Approach to Fixed-Order H8-Synthesis; LMI Optimization for Fixed-Order H8 Controller Design; An LMI-based Technique for Robust Stability Analysis of Linear Systems with Polynomial Parametric Uncertainties; Stabilization of LPV Systems
• Part II Algebraic Approaches to Polynomial Positivity on the Equivalence of Algebraic Approaches to the Minimization of Forms on the Simplex; Moment Approach to Analyze Zeros of Triangular Polynomial Sets; Polynomials Positive on Unbounded Rectangles; Stability of Interval Two-Variable Polynomials and Quasipolynomials via Positivity
• Part III Numerical Aspects of Polynomial Positivity: Structures, Algorithms, Software Tools Exploiting Algebraic Structure in Sum of Squares Programs.