1.

Record Nr.

UNINA9910480263203321

Titolo

Linear algebra and its role in systems theory / / Richard A. Brualdi [and four others] editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1985]

©1985

ISBN

0-8218-7632-5

0-8218-5041-5

Descrizione fisica

1 online resource (521 p.)

Collana

Contemporary mathematics, , 0271-4232 ; ; volume 47

Disciplina

512/.5

Soggetti

Algebras, Linear

System analysis

Control theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held on July 29-August 4, 1984, with support from the National Science Foundation."

Nota di bibliografia

Includes bibliographies.

Nota di contenuto

""Table of Contents""; ""Preface""; ""List of Referees""; ""Graph Theoretical Methods in Studying Stability""; ""Computing a Banded Basis of the Null Space on the Denelcor HEP Multiprocessor""; ""A System-Theoretic Approach to Stability of Sets of Polynomials""; ""Numerical Condition of the Algebraic Riccati Equation""; ""Rank Deficient Least Squares and the Numerical Solution of Linear Singular Implicit Systems of Differential Equations""; ""Linear Methods for Nonlinear Problems""; ""Zero Modules and Factorization Problems""

""Sequential and Parallel Computations and Complexities for Determining Relative Primeness, Stability and Inertia""""On Optimal Control""; ""The Focal Point Method and Almost Linear Systems of Equations""; ""Classification of Linear Systems""; ""On the Partial Realization Problem and the Recursive Inversion of Hankel and Toeplitz Matrices""; ""Some Recent Results in Simultaneous System Design""; ""Block Striped and Block Nested Matrices""; ""Semistability Factors and Semifactors""; ""State and Input Transformations for Reachable Systems



- A Polynomial Approach""

""On Mappings Between Covariance Matrices and Physical Systems""""Robust Multiple Eigenvalue Assignment by State Feedback in Linear Systems""; ""Minimum Norm Pole Assignment Via Sylvester's Equation""; ""The Uniform Finite Generation Problem of Lie Groups and Its Application to Control Systems""; ""On the Location of Spectrum of Matrix Polynomials""; ""Two Matrices Which have Equal Corresponding Principal Minors""; ""Cone Reachability for Differential Systems""; ""Covariance Matrix Representation in Linear Filtering""; ""A Condensed Form for Linear Systems Over Principal Ideal Domains""

""On Pairs of Multidimensional Matrices and Their Applications""""Parametrization of the Flags Fixed by a Unipotent Matrix""; ""An Introduction to the Stabilization Problem for Parametrized Families of Linear Systems""; ""Smith Invariants of a Product of Integral Matrices""; ""The Ricatti Equation and the Geometric Mean""; ""On the Use of Unitary State-Space Transformations""; ""How Near is a Stable Matrix to an Unstable Matrix?""; ""An Approach to Exact and Approximate Modeling of Time Series""

""Straight Bases of Finite Abelian Groups and a Jordan Factorization Theorem for Integer Matrices""""Poles, Zeros, and Lattices""