Diagonal canonical form of interval matrices and applications on dynamical systems

Article Multidisciplinary Sciences

Interval linear algebra-A new perspective

S. Hema Surya et al.

Summary: The purpose of this article is to establish a solid algebraic foundation for the concept of interval linear algebra by carefully defining a field and a vector space over a field involving equivalence classes. Classifying mathematical objects is an important subject in Mathematics, and this study of interval matrices will help classify and analyze them more effectively.

JOURNAL OF KING SAUD UNIVERSITY SCIENCE (2023)

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Article Environmental Sciences

A Novel Procedure for Minimizing the Volume of Water Tanks in Water Supply Systems

Domagoj Nakic et al.

Summary: The paper discusses the complexity of calculating minimum required volume of water tanks and presents a methodology for calculating it. A desktop application called TankOPT was developed to simplify the process and make it user-friendly for everyday water supply management and engineering.

WATER (2022)

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Article Multidisciplinary Sciences

Interval Observers for Discrete-Time Linear Systems with Uncertainties

Oleg Sergiyenko et al.

Summary: This paper investigates the design of interval observers for linear discrete-time models under external disturbances and measurement noises. The authors propose using a reduced order model of the initial system that is insensitive or minimally sensitive to disturbances. The relations involved in designing the interval observer, which estimates the prescribed linear function of the original system state vector with minimal dimensions, are obtained. The theoretical results are illustrated through a practical example.

SYMMETRY-BASEL (2022)

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Review Engineering, Electrical & Electronic