1,721,057 research outputs found
Minicourse on behavioral systems theory- Lecture 4: Bilinear and quadratic differential forms
No full textMinicourse on behavioral systems theory- Lecture 2: Representations and annihilators of LTIDS
No full textBalanced state representations with polynomial algebra
No full textAlgorithms are derived which pass directly from the differential equation describing the behavior of a finite-dimensional linear system to a balanced state representatio
The subspace Nevanlinna interpolation problem and the most powerful unfalsified model
Get PDFA generalization of the tangential Nevanlinna interpolation problem will be studied from a behavioral point of view. Necessary and sufficient conditions for its solvability and a characterization of art its solutions are derived. These results are obtained by associating to the interpolation data a behavior that enjoys a special structure. (C) 1997 Elsevier Science B.V
Conserved- and zero-mean quadratic quantities in oscillatory systems
No full textWe study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and intrinsic zero-mean quantities. We also state an equipartition of energy principle for oscillatory systems
State maps for linear systems
No full textModeling of physical systems consists of writing the equations describing a phenomenon and yields as a result a set of differential-algebraic equations. As such, state-space models are not a natural starting point for modeling, while they have utmost importance in the simulation and control phase. The paper addresses the problem of computing state variables for systems of linear differential-algebraic equations of various forms. The point of view from which the problem is considered is the behavioral one, as put forward in [J. C. Willems, Automatica J. IFAC, 22 (1986), pp. 561–580; DynamicsReported,2(1989),pp.171–269;IEEETrans.Automat.Control,36(1991),pp. 259–294]
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