Sign Pattern Matrices to Allow Algebraic Positivity

Songho Li, Chol Mun, Song Chol Hong (Autoren)

Buch | Softcover

124 Seiten

2025
Scholars' Press (Verlag)
978-620-6-76948-4 (ISBN)

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Recent attention in the study of sign pattern matrices is the characterization of sign pattern matrices that require algebraic positivity and the characterization of sign pattern matrices that allow algebraic positivity.In this book we study the conditions for sign pattern matrices of order 2 and 3 to allow algebraic positivity, and apply them to the sign controllability of linear control systems.We first give a necessary condition for sign pattern matrices to allow algebraic positivity and, based on this fact, characterize all spectrally arbitrary sign pattern matrices that allow algebraic positivity.We also prove some conditions for a minimally AP-irreducible sign pattern matrix, subpattern of AP-irreducible sign pattern matrix, to be minimally irreducible, and based on these facts, characterize the sign pattern matrices of order 2 and 3 to allow algebraic positivity.The last, we define a linear control system to allow algebraic positivity and discuss its relation to a linear control system to require all real eigenvalues.We also prove some conditions for the linear control system to allow algebraic positivity to be sign controllable.

Songho Li - Teacher of Department of Mathematics, University of Science, Pyongyang, DPR. Korea.Chol Mun - Teacher of Department of Mathematics, University of Science, Pyongyang, DPR. Korea.Song Chol Hong - Teacher of Department of Mathematics, KimJongSuk University of Education, Hyesan, DPR. Korea.

Erscheinungsdatum	02.09.2025
Sprache	englisch
Maße	152 x 229 mm
Gewicht	177 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Algebraic Positivity • Linear Control System • Mathematics • matrices • Matrix • Science
ISBN-10	620-6-76948-8 / 6206769488
ISBN-13	978-620-6-76948-4 / 9786206769484
Zustand	Neuware