The Experts below are selected from a list of 318 Experts worldwide ranked by ideXlab platform
Yuanguo Zhu - One of the best experts on this subject based on the ideXlab platform.
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Uncertain Linear Systems
Fuzzy Optimization and Decision Making, 2014Co-Authors: Yuanguo ZhuAbstract:In this paper, an uncertain Linear system is defined and some special uncertain Linear Systems are studied by using uncertainty distributions. An approach for solving some special uncertain Linear Systems is designed and conditions for the existence of a solution to an uncertain Linear system are presented. And, two examples are given to show the effectiveness of the proposed approach. Finally, an application to diet is given to show the practical significance of uncertain Linear Systems.
Ulrich Oberst - One of the best experts on this subject based on the ideXlab platform.
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Continuous-varying Linear Systems
Systems & Control Letters, 1998Co-Authors: Stefan Fröhler, Ulrich OberstAbstract:Abstract We discuss implicit Systems of ordinary Linear differential equations with (time-) variable coefficients, their solutions in the signal space of hyperfunctions according to Sato and their solution spaces, called time-varying Linear Systems or behaviours, from the system theoretic point of view. The basic result, inspired by an analogous one for multidimensional constant Linear Systems, is a duality theorem which establishes a categorical one–one correspondence between time-varying Linear Systems or behaviours and finitely generated modules over a suitable skew-polynomial ring of differential operators. This theorem is false for the signal spaces of infinitely often differentiable functions or of meromorphic (hyper-)functions or of distributions on R . It is used to obtain various results on key notions of Linear system theory. Several new algorithms for modules over rings of differential operators and, in particular, new Grobner basis algorithms due to Insa and Pauer make the system theoretic results effective.
Masaki Ogura - One of the best experts on this subject based on the ideXlab platform.
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Stability of Markov regenerative switched Linear Systems
Automatica, 2016Co-Authors: Masaki Ogura, Victor M. PreciadoAbstract:In this paper, we give a necessary and sufficient condition for mean stability of switched Linear Systems having a Markov regenerative process as its switching signal. This class of switched Linear Systems, which we call Markov regenerative switched Linear Systems, contains Markov jump Linear Systems and semi-Markov jump Linear Systems as special cases. We show that a Markov regenerative switched Linear system is m th mean stable if and only if a particular matrix is Schur stable, under the assumption that either m is even or the system is positive.
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Mean Stability of Switched Linear Systems
2014Co-Authors: Masaki OguraAbstract:A switched Linear system is a dynamical system that consists of multiple Linear timeinvariant Systems, called subSystems, and a piecewise constant function, called a switching signal, that orchestrates the switching between the subSystems. For the last two decades switched Linear Systems have attracted a significant amount of attention due to their wide range of applications. Stability, which is the first property that every controlled system must have, has been one of the central topics in the study of switched Linear Systems. In particular mean stability, that roughly speaking requires stability in average, is known to be a rather practical and easy to check stability notion. There are now many conditions available to check the mean stability of Linear switched Systems with various different stochastic structures. However, there are still some important classes of switched Linear Systems whose mean stability cannot be checked by available methods. This thesis gives the characterization of the mean stability of discrete-time switched Linear Systems with identically and independently distributed system parameters and continuous-time (semi-)Markov jump positive Linear Systems. These conditions can be checked by the eigenvalues of a matrix and also extend the stability conditions obtained in the Systems and control theory literature. We also study the mean escape time and the asymptotic behavior of switched Riccati differential equations naturally induced by switched Linear Systems.
Béla Finta - One of the best experts on this subject based on the ideXlab platform.
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Complex Overdetermined Infinite Linear Systems
2011Co-Authors: Béla FintaAbstract:In this paper we extend some classical results from overdetermined finite Linear Systems to overdetermined infinite Linear Systems in the complex case.
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Overdetermined Infinite Linear Systems
AIP Conference Proceedings, 2009Co-Authors: Béla FintaAbstract:In this paper we extend some classical results from overdetermined finite Linear Systems to overdetermined infinite Linear Systems.
Alban Quadrat - One of the best experts on this subject based on the ideXlab platform.
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Equidimensional triangularization of multidimensional Linear Systems
2011Co-Authors: Alban QuadratAbstract:Based on the results obtained in [12] on the purity filtration of a finitely presented module associated with a multidimensional Linear system, this paper aims at obtaining an equivalent block-triangular representation of the multidimensional Linear system defined by equidimensional diagonal blocks. The multidimensional Linear system can then be integrated in cascade by solving equidimensional homogeneous Linear Systems. Many multidimensional Linear Systems defined by under/overdetermined Linear Systems of partial differential equations can be explicitly solved by means of the PURITYFILTRATION and AbelianSystems packages, but cannot be computed by classical computer algebra Systems such as Maple. The results developed in this paper generalize those obtained in the literature on Monge parametrizations and on the classification of autonomous elements by their codimensions.
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nDS - Equidimensional triangularization of multidimensional Linear Systems
The 2011 International Workshop on Multidimensional (nD) Systems, 2011Co-Authors: Alban QuadratAbstract:Based on the results obtained in [12] on the purity filtration of a finitely presented module associated with a multidimensional Linear system, this paper aims at obtaining an equivalent block-triangular representation of the multidimensional Linear system defined by equidimensional diagonal blocks. The multidimensional Linear system can then be integrated in cascade by solving equidimensional homogeneous Linear Systems. Many multidimensional Linear Systems defined by under/overdetermined Linear Systems of partial differential equations can be explicitly solved by means of the PURITYFILTRATION and AbelianSystems packages, but cannot be computed by classical computer algebra Systems such as Maple. The results developed in this paper generalize those obtained in the literature on Monge parametrizations and on the classification of autonomous elements by their codimensions.
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Symmetries, parametrizations and potentials of multidimensional Linear Systems
2010Co-Authors: Thomas Cluzeau, Alban QuadratAbstract:Within the algebraic analysis approach to Linear Systems theory, the purpose of this paper is to study how left D- homomorphisms between two finitely presented left D-modules associated with two Linear Systems induce natural transformations on the autonomous elements of the two Systems and on the potentials of the parametrizations of the arametrizable subSystems. Extension of these results are also considered for Linear Systems inducing a chain of successive parametrizations.
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On the Baer extension problem for multidimensional Linear Systems
2007Co-Authors: Alban Quadrat, Daniel RobertzAbstract:Within an algebraic analysis approach, the purpose of the paper is to constructively solve the following problem: given two fixed multidimensional Linear Systems $S_1$ and $S_2$, parametrize the multidimensional Linear Systems $S$ which contain $S_1$ as a subsystem and satisfy that $S/S_1$ is isomorphic to $S_2$. In order to study this problem, we use Baer's classical interpretation of the extension functor and give an explicit characterization and parametrization of the equivalence classes of multidimensional Linear Systems $S$ solving this problem. We then use these results to parametrize the equivalence classes of multidimensional Linear Systems $S$ which admit a fixed parametrizable subsystem $S_1$ and satisfy that $S/S_1$ is isomorphic to a fixed autonomous system $S_2$. We illustrate the main results by means of explicit examples of differential time-delay Systems.
