The Experts below are selected from a list of 273 Experts worldwide ranked by ideXlab platform
Bernard Hanzon - One of the best experts on this subject based on the ideXlab platform.
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Lossless scalar functions: boundary interpolation, Schur algorithm and Ober's Canonical Form
2008Co-Authors: Martine Olivi, Bernard Hanzon, Ralf L.m. PeetersAbstract:In Ober (1987) a balanced Canonical Form for continuous-time lossless systems was presented. This Form has a tridiagonal dynamical matrix A and the useful property that the corresponding controllability matrix K is upper triangular. In this paper, a connection is established between Ober's Canonical Form and a Schur algorithm builts from angular derivative interpolation conditions. It provides a new interpretation of the parameters in Ober's Form, as interpolation values at infinity, and a recursive construction of the balanced realization.
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A new balanced Canonical Form for stable multivariable systems
IEEE Transactions on Automatic Control, 1995Co-Authors: Bernard HanzonAbstract:A new balanced Canonical Form is presented for stable multivariable linear systems. Overlapping continuous block-balanced Canonical Forms were introduced by Hanson-Ober for the stable single-input/single-output (SISO) case as a generalisation of the balanced Canonical Form introduced by Ober (1987) for the SISO case. In the search for a generalization of these results to the multivariable case a new multivariable balanced Canonical Form was discovered, which is of interest in its own right and is presented in this paper. The new Canonical Form has a number of nice properties. The integer invariants that appear in the Canonical Form are the multiplicities of the Hankel singular values and a number of new invariants, which are in one-to-one objective correspondence with the Kronecker indexes of subsystems. Truncation of the state vector leads to stable minimal models in Canonical Form. In the SISO case the Canonical Form coincides with Ober's balanced Canonical Form. The reachability matrix of a system in Canonical Form with identical singular values is positive upper triangular. >
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A new balanced Canonical Form for stable multivariable systems
Proceedings of 32nd IEEE Conference on Decision and Control, 1Co-Authors: Bernard HanzonAbstract:A new balanced Canonical Form is presented for stable continuous time multivariable linear systems. The new Canonical Form has a number of nice properties. The integer invariants that appear in the Canonical Form are the multiplicities of the Hankel singular values and a number of new invariants, which are in one-to-one bijective correspondence with the Kronecker indices of subsystems. Truncation ofthe state vector leads to stable minimal models in Canonical Form. In the SISO case the Canonical Form coincides with Ober's balanced Canonical Form. The reachability matrix of a system in Canonical Form with identical singular values is positive upper triangular. For the class of stable multivariable all-pass systems a detailed treatment of the Canonical Form is presented. >
Antonella Capitanio - One of the best experts on this subject based on the ideXlab platform.
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on the Canonical Form of scale mixtures of skew normal distributions
Statistica, 2020Co-Authors: Antonella CapitanioAbstract:The Canonical Form of scale mixtures of multivariate skew-normal distribution is defined, emphasizing its role in summarizing some key properties of this class of distributions. It is also shown that the Canonical Form corresponds to an affine invariant co-ordinate system as defined in Tyler et al. (2009), and a method for obtaining the linear transForm that converts a scale mixture of multivariate skew-normal distribution into a Canonical Form is presented. Related results, where the particular case of the multivariate skew t distribution is considered in greater detail, are the general expression of the Mardia indices of multivariate skewness and kurtosis and the reduction of dimensionality in calculating the mode.
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on the Canonical Form of scale mixtures of skew normal distributions
arXiv: Methodology, 2012Co-Authors: Antonella CapitanioAbstract:The Canonical Form of scale mixtures of multivariate skew-normal distribution is defined, emphasizing its role in summarizing some key properties of this class of distributions. It is also shown that the Canonical Form corresponds to an affine invariant co-ordinate system as defined in Tyler \emph{et} al. (2009), and a method for obtaining the linear transForm that converts a scale mixture of multivariate skew-normal distribution into a Canonical Form is presented. Related results, where the particular case of the multivariate skew $t$ distribution is considered in greater detail, are the general expression of the Mardia indices of multivariate skewness and kurtosis and the reduction of dimensionality in calculating the mode.
Driss Boutat - One of the best experts on this subject based on the ideXlab platform.
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A triangular Canonical Form for a class of 0-flat nonlinear systems
International Journal of Control, 2011Co-Authors: Driss Boutat, Gang Zheng, Soray Bououden, Jean-pierre Barbot, Frédéric KratzAbstract:This article proposes a triangular Canonical Form for a class of 0-flat nonlinear systems. Necessary and sufficient geometrical conditions are given in order to guarantee the existence of a local diffeomorphism to transForm the studied nonlinear systems into the proposed 0-flat Canonical Form, which enables us to compute the flat output as well.
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A nonlinear Canonical Form for reduced order observer design
2010Co-Authors: Driss Boutat, Gang Zheng, Hassan HammouriAbstract:This paper presents a nonlinear Canonical Form which is used for the design of a reduced order observer. Sufficient and necessary geometric conditions are given in order to transForm a special class of nonlinear systems to the proposed nonlinear Canonical Form and the corresponding reduced order observer is analyzed.
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Extended Nonlinear Observable Canonical Form for Multi-Output Dynamical Systems
2009Co-Authors: Driss Boutat, Krishna BusawonAbstract:In this paper, we give sufficient conditions which guarantee the existence of a diffeomorphism in an extended state space that allows to transForm a multi-output nonlinear dynamical system into a nonlinear normal observable Canonical Form. In particular, we propose an algorithm that permits to derive such diffeomorphism. The main feature of the Canonical Form is that it is obtained by allowing a diffeomorphism on the outputs and a dynamic extension. It also allows to design an observer with linear error dynamics for the transFormed system.
Walter F Mascarenhas - One of the best experts on this subject based on the ideXlab platform.
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a simple Canonical Form for nonlinear programming problems and its use
Journal of Optimization Theory and Applications, 2019Co-Authors: Walter F MascarenhasAbstract:We argue that reducing nonlinear programming problems to a simple Canonical Form is an effective way to analyze them, specially when the gradients of the constraints are linearly dependent. To illustrate this fact, we solve an open problem about constraint qualifications using this Canonical Form.
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a simple Canonical Form for nonlinear programming problems and its use
arXiv: Optimization and Control, 2018Co-Authors: Walter F MascarenhasAbstract:We argue that reducing nonlinear programming problems to a simple Canonical Form is an effective way to analyze them, specially when the problem is degenerate and the usual linear independence hypothesis does not hold. To illustrate this fact we solve an open problem about constraint qualifications using this simple Canonical Form.
Zongli Lin - One of the best experts on this subject based on the ideXlab platform.
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interconnection of kronecker Canonical Form and special coordinate basis of multivariable linear systems
Systems & Control Letters, 2008Co-Authors: Ben M. Chen, Xinmin Liu, Zongli LinAbstract:This paper establishes a straightforward interconnection between the Kronecker Canonical Form and the special coordinate basis of linear systems. Such an interconnection yields an alternative approach for computing the Kronecker Canonical Form, and as a by-product, the Smith Form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the transFormation of a given system in the state-space description into the special coordinate basis, which is capable of explicitly displaying all the system structural properties, such as finite and infinite zero structures, as well as system invertibility structures. The computation of the Kronecker Canonical Form and Smith Form of the system matrix is rather simple and straightforward once the given system is put under the special coordinate basis. The procedure is applicable to proper systems and singular systems.