scholarly journals Distance to the nearest stable Metzler matrix

2017 ◽  
Author(s):  
James Anderson
Keyword(s):  
Metzler Matrix

scholarly journals Metzler matrix-based switching control scheme for linear systems with prescribed performance guarantees

2020 ◽  
Vol 53 (2) ◽  
pp. 6428-6433
Author(s):  
Zongyi Guo ◽  
David Henry ◽  
Jianguo Guo ◽  
Zheng Wang ◽  
Jérôme Cieslak ◽  
...  
Keyword(s):  
Linear Systems ◽  
Switching Control ◽  
Prescribed Performance ◽  
Performance Guarantees ◽  
Control Scheme ◽  
Metzler Matrix

Shall I Compare Thee to a Minkowski-Ricardo-Leontief-Metzler Matrix of the Mosak-Hicks Type?: Or, Rhetoric, Mathematics, and the Nature of Neoclassical Economic Theory

1987 ◽  
Vol 3 (1) ◽  
pp. 67-95 ◽  
Author(s):  
Philip Mirowski
Keyword(s):  
Economic Theory ◽  
Differential Calculus ◽  
Neoclassical Economic ◽  
Real Analysis ◽  
The Past ◽  
And Topology ◽  
Neoclassical Economic Theory ◽  
Six Elements ◽  
Metzler Matrix

Is rhetoric just a new and trendy way to épater les bourgeois? Unfortunately, I think that the newfound interest of some economists in rhetoric, and particularly Donald McCloskey in his new book and subsequent responses to critics (McCloskey, 1985a, 1985b), gives that impression. After economists have worked so hard for the past five decades to learn their sums, differential calculus, real analysis, and topology, it is a fair bet that one could easily hector them about their woeful ignorance of the conjugation of Latin verbs or Aristotle's Six Elements of Tragedy. Moreover, it has certainly become an academic cliché that economists write as gracefully and felicitously as a hundred monkeys chained to broken typewriters. The fact that economists still trot out Keynes's prose in their defense is itself an index of the inarticulate desperation of an inarticulate profession.

scholarly journals Metzler cyclic electric systems

2017 ◽  
pp. 109-118
Author(s):  
Wojciech Mitkowski
Keyword(s):  
Differential Equation ◽  
Linear Differential Equation ◽  
Continuous Time ◽  
Dynamic Properties ◽  
Electrical Circuit ◽  
Continuous Time Systems ◽  
Linear Differential ◽  
Metzler Matrix ◽  
Time Systems

In applications we meet with positive (nonnegative) systems. A system generated by a linear differential equation with a Metzler-matrix is called a nonnegative system. The paper shows the basic dynamic properties of nonnegative continuous-time systems. Considered was the example of an oscillating electrical circuit with a cyclic Metzler-matrix, enabling the correct physical interpretations. Cykliczne obwody elektryczne Metzlera Streszczenie: Układy dodatnie (nieujemne) można spotkać w wielu zastosowaniach. Układem nieujemnym jest układ generowany równaniem różniczkowym liniowym z macierzą Metzlera. W artykule przedstawiono podstawowe własności dynamiczne układów nieujemnych z czasem ciągłym. Rozważono przykład elektrycznego obwodu oscylacyjnego z cykliczną macierzą Metzlera umożliwiający odpowiednie interpretacje fizyczne. Słowa kluczowe: układy dodatnie, układy Metzlera, układy cykliczne, obwody elektryczne

scholarly journals Positive stable realizations with system Metzler matrices

2011 ◽  
Vol 21 (2) ◽  
pp. 167-188 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Transfer Matrix ◽  
Continuous Time ◽  
Similarity Transformation ◽  
Transfer Matrices ◽  
Numerical Examples ◽  
Continuous Time Systems ◽  
Metzler Matrix ◽  
Time Systems

Positive stable realizations with system Metzler matricesConditions for the existence of positive stable realizations with system Metzler matrices for linear continuous-time systems are established. A procedure for finding a positive stable realization with system Metzler matrix based on similarity transformation of proper transfer matrices is proposed and demonstrated on numerical examples. It is shown that if the poles of stable transfer matrix are real then the classical Gilbert method can be used to find the positive stable realization.

scholarly journals Stability of fractional positive nonlinear systems

2015 ◽  
Vol 25 (4) ◽  
pp. 491-496 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Nonlinear Systems ◽  
Continuous Time ◽  
Lyapunov Method ◽  
Linear Part ◽  
Stability Conditions ◽  
Continuous Time Systems ◽  
Nonlinear Vector ◽  
The Stability ◽  
Metzler Matrix ◽  
Time Systems

AbstractThe conditions for positivity and stability of a class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a Metzler matrix. The stability conditions are established by the use of an extension of the Lyapunov method to fractional positive nonlinear systems.

scholarly journals Computation of transition matrices of positive linear electrical circuits

2019 ◽  
Vol 24 (6) ◽  
pp. 179-184
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Transition Matrix ◽  
Nonnegative Function ◽  
Transition Matrices ◽  
Electrical Circuits ◽  
Finite Series ◽  
Metzler Matrix

A method is proposed for calculation of transition matrices of positive electrical circuits. It is shown that if the transition matrix is presented as finite series of the Metzler matrix with real distinct eigenvalues then the coefficients of the series are nonnegative function of time. The method is applied to positive linear electrical circuits.

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