Some Classes of Matrix Transformations between the Subsets of Maddox Spaces Defined by Speed DOI Open Access
Ants Aasma, Pinnangudi N. Natarajan

WSEAS TRANSACTIONS ON SYSTEMS, Journal Year: 2024, Volume and Issue: 23, P. 508 - 516

Published: Dec. 31, 2024

Let X, Y be two sets of sequences with real or complex entries, and (X, Y) the set all matrices entries to map X into Y. λ μ speeds convergence, i.e., monotonically increasing strictly positive sequences. In this paper, some classes matrix transforms, where is subset certain Maddox space defined by λ, another μ, have been characterized. The application possibilities main results are demonstrated examples.

Language: Английский

A Novel Approach to Modelling Overdamped Second and Higher-Order Systems using Linearized Derived Equations DOI Open Access

Hisham Odeh Alrawashdeh

WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL, Journal Year: 2025, Volume and Issue: 20, P. 100 - 108

Published: May 5, 2025

A second-order system is widely recognized in control systems, as many practical systems are modeled using it. The system's response to a step input well-defined, with mathematical expressions available for key parameters like rise time, settling and others. However, most of these equations apply specifically an underdamped system, where explicit solution relatively straightforward, except the delay time equation, which derived from linear equation involving damping factor, ϛ. This paper develops both time-based on equations, allowing extraction model output low high factor values. Additionally, proposed can be applied higher-order by equivalent results showing that this accurately represents higherorder system. Further analysis investigates effect natural frequency ratio (ϛ/wn) at ϛ values, demonstrating depends ϛ/wn rather than individual values or wn. implies remains consistent fixed

Language: Английский

Citations

0

Matrix Transforms of α-absolutely A^λ-summable Sequences DOI Open Access
Ants Aasma, Pinnangudi N. Natarajan

WSEAS TRANSACTIONS ON MATHEMATICS, Journal Year: 2024, Volume and Issue: 23, P. 836 - 847

Published: Dec. 9, 2024

Language: Английский

Citations

0

Some Classes of Matrix Transformations between the Subsets of Maddox Spaces Defined by Speed DOI Open Access
Ants Aasma, Pinnangudi N. Natarajan

WSEAS TRANSACTIONS ON SYSTEMS, Journal Year: 2024, Volume and Issue: 23, P. 508 - 516

Published: Dec. 31, 2024

Let X, Y be two sets of sequences with real or complex entries, and (X, Y) the set all matrices entries to map X into Y. λ μ speeds convergence, i.e., monotonically increasing strictly positive sequences. In this paper, some classes matrix transforms, where is subset certain Maddox space defined by λ, another μ, have been characterized. The application possibilities main results are demonstrated examples.

Language: Английский

Citations

0