Results 1 to 10 of about 359 (49)

A note on certain ergodicity coeflcients

open access: yesSpecial Matrices, 2015
We investigate two ergodicity coefficients ɸ ∥∥ and τn−1, originally introduced to bound the subdominant eigenvalues of nonnegative matrices. The former has been generalized to complex matrices in recent years and several properties for such generalized ...
Tudisco Francesco
doaj   +4 more sources

Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups

open access: yesOpen Mathematics, 2023
In this article, we are concerned with minimal-time optimal problems for the class of controllable linear control system on low-dimensional nonnilpotent solvable Lie groups and their homogeneous spaces.
Da Silva Adriano   +3 more
doaj   +1 more source

On the similarity to nonnegative and Metzler Hessenberg forms

open access: yesSpecial Matrices, 2021
We address the issue of establishing standard forms for nonnegative and Metzler matrices by considering their similarity to nonnegative and Metzler Hessenberg matrices.
Grussler Christian, Rantzer Anders
doaj   +1 more source

Boundedness control sets for linear systems on Lie groups

open access: yesOpen Mathematics, 2018
Let Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior
Ayala Víctor, Todco María Torreblanca
doaj   +1 more source

Feedback equivalence of convolutional codes over finite rings

open access: yesOpen Mathematics, 2017
The approach to convolutional codes from the linear systems point of view provides us with effective tools in order to construct convolutional codes with adequate properties that let us use them in many applications.
DeCastro-García Noemí
doaj   +1 more source

Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs

open access: yesOpen Mathematics, 2016
Necessary and sufficiently conditions are derived for the decomposition of a second order linear time- varying system into two cascade connected commutative first order linear time-varying subsystems. The explicit formulas describing these subsystems are
Koksal Mehmet Emir
doaj   +1 more source

Linear discrete-time Pareto-Nash-Stackelberg control problem and principles for its solving [PDF]

open access: yesComputer Science Journal of Moldova, 2013
A direct-straightforward method for solving linear discrete-time optimal control problem is applied to solve control problem of a linear discrete-time system as a mixture of multi-criteria Stackelberg and Nash games.
Valeriu Ungureanu
doaj  

Solutions of linear control systems on Lie groups

open access: yesOpen Mathematics
An explicit solution for linear control systems on Lie groups is presented using the variation of parameters method. This solution is formulated as a series of Lie brackets, and the convergence of these series is analyzed.
Ayala Victor   +3 more
doaj   +1 more source

Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoring

open access: yesComputational and Mathematical Biophysics
In this article, we present a novel approach for robust state estimation in linear uncertain descriptor systems, with a specific focus on the cardiovascular system (CVS) as a case study.
Tunga Pabitra K.   +2 more
doaj   +1 more source

Observability on the classes of non-nilpotent solvable three-dimensional Lie groups

open access: yesOpen Mathematics
In control theory, researchers need to understand a system’s local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space defined by an ...
Ayala Victor   +2 more
doaj   +1 more source

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