Directions in Mathematical Systems Theory and Optimization

Anders Rantzer, Christopher I. Byrnes

402 pages, parution le 31/12/2002

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Résumé

This volume provides a compilation of recent contributions on feedback and robust control, modeling, estimation and filtering. They were presented on the occasion of the sixtieth birthday of Anders Lindquist, who has delivered fundamental contributions to the fields of systems, signals and control for more than three decades. His contributions include seminal work on the role of splitting subspaces in stochastic realization theory, on the partial realization problem for both deterministic and stochastic systems, on the solution of the rational covariance extension problem and on system identification. Lindquist's research includes the development of fast filtering algorithms, leading to a nonlinear dynamical system which computes spectral factors in its steady state, and which provide an alternate, linear in the dimension of the state space, to computing the Kalman gain from a matrix Riccati equation. He established the separation principle for stochastic function differential equations, including some fundamental work on optimal control for stochastic systems with time lags. His recent work on a complete parameterization of all rational solutions to the Nevanlinna-Pick problem is providing a new approach to robust control design.

Contents

Systems with Lebesgue Sampling
Acoustic Attenuation Employing Variable Wall Admittance
Some Remarks on Linear Filtering Theory for Infinite Dimensional Systems
A Note on Stochastic Dissipativeness
Internal Model Based Design for the Suppression of Harmonic Disturbances
Conditional Orthogonality and Conditional Stochastic Realization
Geometry of Oblique Splitting Subspaces, Minimality, and Hankel Operators
Linear Fractional Transformations
Structured Covariances and Related Approximation Questions
Risk Sensitive Identification of ARMA Processes
Input Tracking and Output Fusion for Linear Systems
The Convergence of the Extended Kalman Filter
On the Separation of Two Degrees of Freedom Controller and its Application to H∞ Control for Systems with Time Delay
The Principle of Optimality in Measurement Feedback Control for Linear Systems
Linear System Identification as Curve Fitting
Optimal Model Order Reduction for Maximal Real Part Norms
Quantum Schrödinger Bridges
Segmentation of Diffusion Tensor Imagery
Robust Linear Algebra and Robust Aperiodicity
On Homogeneous Density Functions
Stabilization by Collocated Feedback
High-Order Open Mapping Theorems
New Integrability Conditions for Classifying Holonomic and Nonholonomic Systems
On Spectral Analysis using Models with Pre-Specified Zeros
Balanced State Representations with Polynomial Algebra
Nonconvex Global Optimization Problems: Constrained Infinite-Horizon Linear-Quadratic Control Problems for Discrete Systems

L'auteur - Anders Rantzer

Lund, Sweden

L'auteur - Christopher I. Byrnes

Clayton, MO, USA (Eds.)

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Anders Rantzer, Christopher I. Byrnes
Parution	31/12/2002
Nb. de pages	402
Format	15,5 x 23,5
Couverture	Broché
Poids	614g
Intérieur	Noir et Blanc
EAN13	9783540000655