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Record Nr. |
UNINA9910788783203321 |
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Titolo |
Linear algebra and its role in systems theory / / Richard A. Brualdi [and four others] editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1985] |
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©1985 |
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ISBN |
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0-8218-7632-5 |
0-8218-5041-5 |
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Descrizione fisica |
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1 online resource (521 p.) |
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Collana |
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Contemporary mathematics, , 0271-4232 ; ; 47 , 0271-4132 |
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Disciplina |
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Soggetti |
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Algebras, Linear |
System analysis |
Control theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held on July 29-August 4, 1984, with support from the National Science Foundation." |
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Nota di bibliografia |
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Nota di contenuto |
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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 -- |
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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. |
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