Frequency domain subspace identification of discrete-time singular power spectra

Akcay,

doi:10.1109/sibcon.2011.6072586

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…This brief subsection introduces some preliminary concepts and definitions from matrix pencil theory, which are being used throughout the paper. Linear systems of type (1) are closely related to matrix pencil theory, since the algebraic geometric, and dynamic properties stem from the structure by the associated pencil sF − G. The matrix pencil theory has been extensively used for the study of LDTSs with time invariant coefficients, see for instance [7-21, 23-27, 32-34, 43]. The class of sF − G is characterized by a uniquely defined element, known as a complex Weierstrass canonical form, sF w − G w , see [7,23,32,43], specified by the complete set of invariants of sF − G. This is the set of elementary divisors (e.d.)…”

Section: Mathematical Background and Notationmentioning

confidence: 99%

Controllability and reachability of singular linear discrete time systems

Kontzalis,

Kalogeropoulos

2014

Preprint

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The main objective of this article is to develop a matrix pencil approach for the study of the controllability and reachability of a class of linear singular discrete time systems. The description equation of a practical system may be established through selection of the proper state variables. Time domain analysis is the method of analyzing the system based on this description equation, through which we may gain a fair understanding of the system's structural features as well as its internal properties. Using time domain analysis, this article studies the fundamentals in system theory such as reachability and controllability.

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Section: Mathematical Background and Notationmentioning

confidence: 99%

Controllability and reachability of singular linear discrete time systems

Kontzalis,

Kalogeropoulos

2014

Preprint

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“…Applications of absorbing Markov chains or the distribution of heat through a long rod or bar are other interesting applications suggested in [26]. Thus many authors have studied discrete time systems and their applications, see [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [13], [15], [16], [17], [18], [19], [20], [21], [22], [24], [25], [26], [27], [28], [29].…”

Section: Introductionmentioning

confidence: 99%

On a boundary value problem of a singular discrete time system with a singular pencil

Dassios¹

2015

Preprint

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In this article, we study a boundary value problem of a class of singular linear discrete time systems whose coefficients are non-square constant matrices or square with a matrix pencil which has an identically zero determinant. By taking into consideration that the relevant pencil is singular, we provide necessary and sufficient conditions for existence and uniqueness of solutions. In addition, a formula is provided for the case of unique solutions and optimal solutions are studied for the cases of no solutions and infinite many solutions. Finally, based on a singular discrete time real dynamical system, numerical examples are given to justify our theory.

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Frequency domain subspace identification of discrete-time singular power spectra

Cited by 2 publications

References 12 publications

Controllability and reachability of singular linear discrete time systems

Controllability and reachability of singular linear discrete time systems

On a boundary value problem of a singular discrete time system with a singular pencil

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