NORMAL SYMMETRIC DYNAMICAL SYSTEMS.

Roger W. Brockett; Paul A. Fuhrmann

doi:10.1137/0314009

NORMAL SYMMETRIC DYNAMICAL SYSTEMS.

Roger W. Brockett, Paul A. Fuhrmann

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

A form of the state space isomorphism theorem is established for linear differentiable dynamical systems in a Hilbert space, and some application of these results is made. The methods used are based on spectral representations and suggest a close connection between the state space isomorphism theorem and certain classical representation theorems in analysis. A class of counterexamples is also given which illuminate the difficulties in extending the finite-dimensional theory thus justifying, in part, the stronger hypothesis used here.

Original language	English
Pages (from-to)	107-119
Number of pages	13
Journal	SIAM Journal on Control and Optimization
Volume	14
Issue number	1
DOIs	https://doi.org/10.1137/0314009
State	Published - 1 Jan 1976

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1137/0314009

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title = "NORMAL SYMMETRIC DYNAMICAL SYSTEMS.",

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AB - A form of the state space isomorphism theorem is established for linear differentiable dynamical systems in a Hilbert space, and some application of these results is made. The methods used are based on spectral representations and suggest a close connection between the state space isomorphism theorem and certain classical representation theorems in analysis. A class of counterexamples is also given which illuminate the difficulties in extending the finite-dimensional theory thus justifying, in part, the stronger hypothesis used here.

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NORMAL SYMMETRIC DYNAMICAL SYSTEMS.

Abstract

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