The Experts below are selected from a list of 291 Experts worldwide ranked by ideXlab platform
A.m. Perdon - One of the best experts on this subject based on the ideXlab platform.
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On feedback invariance properties for systems over a Principal Ideal Domain
IEEE Transactions on Automatic Control, 1999Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:Simple necessary and sufficient conditions for the solvability of many control problems for linear systems over a field are based on the equivalence between the (A, B)-invariance property and the (A+BF)-invariance, or feedback invariance, property. For systems over a ring, this equivalence is no longer true and many results of the geometric control theory cannot be extended. We present new, algorithmically checkable characterizations of the (A+BF)-invariance property for systems defined over a Principal Ideal Domain and a new solvability condition for the disturbance rejection problem.
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an algorithm to compute the maximal controllability submodule over a Principal Ideal Domain
IFAC Proceedings Volumes, 1998Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:Abstract For systems with coefficients over a ring, it is not always possible to compute the maximal controlled invariant submodule contained in the kernel of a given map C. This difficulty prevents us from applying the necessary and sufficient conditions for the solvability ofthe classical control problems. In this paper we present an algorithm to compute the maximal controllability submodule R* (KerC) for a system defined over a Principal Ideal Domain, which is the key of several control problems, such as the Block Decoupling Problem.
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The Disturbance Decoupling Problem for Systems Over a Principal Ideal Domain
New Trends in Systems Theory, 1991Co-Authors: A.m. Perdon, Giuseppe ConteAbstract:The use of geometric methods in the study of disturbance decoupling problems for systems over a ring provides in general only necessary conditions for the existence of solutions. In this paper the authors develop a geometric procedure which allows to test the existence of solutions to problems of the above kind and to construct one of them, if any, for injective systems with coefficients in a Principal Ideal Domain.
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The disturbance decoupling problem by dynamic feedback for systems over a Principal Ideal Domain
Proceedings of 1994 33rd IEEE Conference on Decision and Control, 1Co-Authors: Giuseppe Conte, A.m. PerdonAbstract:The problem considered in this paper consists in decoupling a disturbance from the output of a dynamical systems with coefficients in a Principal Ideal Domain, by means of a dynamic state feedback. Using geometric methods, necessary and sufficient conditions for the decouplability are obtained. >
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Weak feedback cyclizability and coefficient assignment for weakly reachable systems over a Principal Ideal Domain
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 1Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:For a system defined over a ring, the property of weak reachability induces some restrictions to the coefficient assignability property of the system. In this paper it is proved that, for systems defined over a Principal Ideal Domain, the invariant factors of the Smith form of the reachability matrix of the system play a key role in these restrictions, and actually characterize them. An example of application to time-delay systems is also presented.
J. Assan - One of the best experts on this subject based on the ideXlab platform.
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On feedback invariance properties for systems over a Principal Ideal Domain
IEEE Transactions on Automatic Control, 1999Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:Simple necessary and sufficient conditions for the solvability of many control problems for linear systems over a field are based on the equivalence between the (A, B)-invariance property and the (A+BF)-invariance, or feedback invariance, property. For systems over a ring, this equivalence is no longer true and many results of the geometric control theory cannot be extended. We present new, algorithmically checkable characterizations of the (A+BF)-invariance property for systems defined over a Principal Ideal Domain and a new solvability condition for the disturbance rejection problem.
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an algorithm to compute the maximal controllability submodule over a Principal Ideal Domain
IFAC Proceedings Volumes, 1998Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:Abstract For systems with coefficients over a ring, it is not always possible to compute the maximal controlled invariant submodule contained in the kernel of a given map C. This difficulty prevents us from applying the necessary and sufficient conditions for the solvability ofthe classical control problems. In this paper we present an algorithm to compute the maximal controllability submodule R* (KerC) for a system defined over a Principal Ideal Domain, which is the key of several control problems, such as the Block Decoupling Problem.
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Further results on (A+BF)invariance for systems over a Principal Ideal Domain
1997 European Control Conference (ECC), 1997Co-Authors: J. Assan, Jean-françois LafayAbstract:It is well known that (A-B) invariance and (A+BF) invariance properties are not equivalent when we are working on systems over a ring. This fact implies to impose restrictive conditions on a system defined over a ring to extend some classical results of the geometric control theory. We present here some new characterizations of the (A+BF) invariance which can be useful for the improvement of the results given by Conte and Perdon concerning the disturbance rejection problem or the decoupling problem via static feedback control laws.
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Weak feedback cyclizability and coefficient assignment for weakly reachable systems over a Principal Ideal Domain
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 1Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:For a system defined over a ring, the property of weak reachability induces some restrictions to the coefficient assignability property of the system. In this paper it is proved that, for systems defined over a Principal Ideal Domain, the invariant factors of the Smith form of the reachability matrix of the system play a key role in these restrictions, and actually characterize them. An example of application to time-delay systems is also presented.
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On (A+BF)-invariance for systems over a Principal Ideal Domain
Proceedings of the 36th IEEE Conference on Decision and Control, 1Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:It is known that the notion of (A,B)-invariance and the notion of (A+BF)-invariance are no longer equivalent for systems with coefficients over a ring. In this paper, we present some new characterizations of the (A+BF)-invariance property for systems over a pricipal Ideal Domain and an algorithm to test it.
H. Inaba - One of the best experts on this subject based on the ideXlab platform.
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Block Triangular Decoupling for Linear Systems over Principal Ideal Domains
SIAM Journal on Control and Optimization, 1997Co-Authors: Naoharu Ito, H. InabaAbstract:This paper studies in the framework of the so-called geometric approach the block triangular decoupling problem with state feedback for linear systems defined over a Principal Ideal Domain with identity. First, various properties of feedback reachability submodules are discussed, and then under certain assumptions necessary and sufficient conditions for its solvability are obtained. Further, the pole assignability for decoupled systems is investigated. Finally, a simple example is given to illustrate the results.
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Block triangular decoupling and pole assignment for linear systems over Principal Ideal Domains
Proceedings of the 36th IEEE Conference on Decision and Control, 1Co-Authors: N. Ito, H. InabaAbstract:A block triangular decoupling problem with static state feedback is studied for linear systems defined over a Principal Ideal Domain with identity. First, basic properties of feedback reachability submodules are investigated, and then, under certain assumptions, necessary and sufficient conditions for the problem to be solvable are obtained. Furthermore, the pole assignability of the block triangularly decoupled system is discussed.
Jean-françois Lafay - One of the best experts on this subject based on the ideXlab platform.
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On feedback invariance properties for systems over a Principal Ideal Domain
IEEE Transactions on Automatic Control, 1999Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:Simple necessary and sufficient conditions for the solvability of many control problems for linear systems over a field are based on the equivalence between the (A, B)-invariance property and the (A+BF)-invariance, or feedback invariance, property. For systems over a ring, this equivalence is no longer true and many results of the geometric control theory cannot be extended. We present new, algorithmically checkable characterizations of the (A+BF)-invariance property for systems defined over a Principal Ideal Domain and a new solvability condition for the disturbance rejection problem.
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an algorithm to compute the maximal controllability submodule over a Principal Ideal Domain
IFAC Proceedings Volumes, 1998Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:Abstract For systems with coefficients over a ring, it is not always possible to compute the maximal controlled invariant submodule contained in the kernel of a given map C. This difficulty prevents us from applying the necessary and sufficient conditions for the solvability ofthe classical control problems. In this paper we present an algorithm to compute the maximal controllability submodule R* (KerC) for a system defined over a Principal Ideal Domain, which is the key of several control problems, such as the Block Decoupling Problem.
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Further results on (A+BF)invariance for systems over a Principal Ideal Domain
1997 European Control Conference (ECC), 1997Co-Authors: J. Assan, Jean-françois LafayAbstract:It is well known that (A-B) invariance and (A+BF) invariance properties are not equivalent when we are working on systems over a ring. This fact implies to impose restrictive conditions on a system defined over a ring to extend some classical results of the geometric control theory. We present here some new characterizations of the (A+BF) invariance which can be useful for the improvement of the results given by Conte and Perdon concerning the disturbance rejection problem or the decoupling problem via static feedback control laws.
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Weak feedback cyclizability and coefficient assignment for weakly reachable systems over a Principal Ideal Domain
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 1Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:For a system defined over a ring, the property of weak reachability induces some restrictions to the coefficient assignability property of the system. In this paper it is proved that, for systems defined over a Principal Ideal Domain, the invariant factors of the Smith form of the reachability matrix of the system play a key role in these restrictions, and actually characterize them. An example of application to time-delay systems is also presented.
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On (A+BF)-invariance for systems over a Principal Ideal Domain
Proceedings of the 36th IEEE Conference on Decision and Control, 1Co-Authors: J. Assan, Jean-françois Lafay, A.m. PerdonAbstract:It is known that the notion of (A,B)-invariance and the notion of (A+BF)-invariance are no longer equivalent for systems with coefficients over a ring. In this paper, we present some new characterizations of the (A+BF)-invariance property for systems over a pricipal Ideal Domain and an algorithm to test it.
V. M. Prokip - One of the best experts on this subject based on the ideXlab platform.
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On solvability of the matrix equation AXB = C over a Principal Ideal Domain
Modeling Control and Information Technologies, 2020Co-Authors: V. M. ProkipAbstract:In this paper we present conditions of solvability of the matrix equation AXB = B over a Principal Ideal Domain. The necessary and sufficient conditions of solvability of equation AXB = B in term of the Smith normal forms and in term of the Hermi-te normal forms of matrices constructed in a certain way by using the coefficients of this equation are proposed. If a solution of this equation exists we propose the method for its construction.
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on solvability of the matrix equation axb c over a Principal Ideal Domain
Modeling Control and Information Technologies: Proceedings of International scientific and practical conference, 2020Co-Authors: V. M. ProkipAbstract:In this paper we present conditions of solvability of the matrix equation AXB = B over a Principal Ideal Domain. The necessary and sufficient conditions of solvability of equation AXB = B in term of the Smith normal forms and in term of the Hermi-te normal forms of matrices constructed in a certain way by using the coefficients of this equation are proposed. If a solution of this equation exists we propose the method for its construction.
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The Structure of Symmetric Solutions of the Matrix Equation over a Principal Ideal Domain
International Journal of Analysis, 2017Co-Authors: V. M. ProkipAbstract:We investigate the structure of symmetric solutions of the matrix equation , where and are -by- matrices over a Principal Ideal Domain and is unknown -by- matrix over . We prove that matrix equation over has a symmetric solution if and only if equation has a solution over and the matrix is symmetric. If symmetric solution exists we propose the method for its construction.
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Diagonalizability of matrices over a Principal Ideal Domain
Ukrainian Mathematical Journal, 2012Co-Authors: V. M. ProkipAbstract:A square matrix is said to be diagonalizable if it is similar to a diagonal matrix. We establish necessary and sufficient conditions for the diagonalizability of matrices over a Principal Ideal Domain.
