Displaying similar documents to “J-energy preserving well-posed linear systems”

Well-posed linear systems - a survey with emphasis on conservative systems

George Weiss, Olof Staffans, Marius Tucsnak (2001)

International Journal of Applied Mathematics and Computer Science

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We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert...

A note on Howe's oscillator semigroup

Joachim Hilgert (1989)

Annales de l'institut Fourier

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Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the L 2 ( ℝ n ) and the Bargmann-Fock realisations by Howe [How2] and Brunet-Kramer [Brunet-Kramer, Reports on Math. Phys., 17 (1980), 205-215]], respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.

Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems

Muhafzan (2010)

International Journal of Applied Mathematics and Computer Science

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This paper deals with the Linear Quadratic Regulator (LQR) problem subject to descriptor systems for which the semidefinite programming approach is used as a solution. We propose a new sufficient condition in terms of primal dual semidefinite programming for the existence of the optimal state-control pair of the problem considered. The results show that semidefinite programming is an elegant method to solve the problem under consideration. Numerical examples are given to illustrate the...