Some Studies on First Order Matrix Difference Equations
(Sprache: Englisch)
Here, we prove necessary and sufficient conditions for the existence of at least one psi-bounded solution of the matrix difference equation, under the assumption that the non-homogeneous function is a psi-summable matrix function and psi-bounded matrix...
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Here, we prove necessary and sufficient conditions for the existence of at least one psi-bounded solution of the matrix difference equation, under the assumption that the non-homogeneous function is a psi-summable matrix function and psi-bounded matrix function on Z+, and also obtain results relating to the asymptotic behavior of the psi-bounded solutions of this equation on Z+. Further, we obtain sufficient conditions for the existence and uniqueness of psi-bounded solutions for the nonlinear vector and matrix difference equation on Z.The concepts of psi- (uniform) stability and psi-asymptotic stability for non linear vector and matrix difference equations are introduced and also obtain sufficient conditions for the psi-(uniform)stability & psi-asymptotic stability of trivial solution of nonlinear vector and matrix difference equation. Also here, we provide a way to incorporate difference equations with fuzzy sets to form a new fuzzy logic system called fuzzy difference control system which can be regarded as a new approach to intelligent control and also obtain sufficient conditions for the controllability & observability of the fuzzy vector and matrix difference control systems.
Autoren-Porträt von Tagallamudi Srinivasa Rao, G Suresh Kumar
Srinivasa Rao, TagallamudiDr. Tagallamudi Srinivasa Rao , M.Phil, Ph.D working as an Associate Professor, Dept of Mathematics, KL University, Vijayawada. He completed his Ph.D under the guidance of Dr. G. Suresh Kumar, KL University. He has published 11 papers in reputed journals. He has 15 years of teaching experience. His research area is in Difference equations.
Bibliographische Angaben
- Autoren: Tagallamudi Srinivasa Rao , G Suresh Kumar
- 2018, 220 Seiten, Maße: 22 cm, Kartoniert (TB), Englisch
- Verlag: LAP Lambert Academic Publishing
- ISBN-10: 3330009128
- ISBN-13: 9783330009127
Sprache:
Englisch
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