Linear Algebra and Its Role in Systems Theory.

Intro -- 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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.