{"product_id":"some-studies-on-first-order-matrix-difference-equations-von-tagallamudi-srinivasa-rao-g-suresh-kumar","title":"Some Studies on First Order Matrix Difference Equations","description":"\u003cp\u003eHere, 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 \u0026amp; 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 \u0026amp; observability of the fuzzy vector and matrix difference control systems.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783330009127\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783330009127","offer_id":39421530505309,"sku":"9783330009127","price":76.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/a1143c37-fabd-4103-8031-aa039279476e.jpg?v=1772775389","url":"https:\/\/shop.autorenwelt.de\/products\/some-studies-on-first-order-matrix-difference-equations-von-tagallamudi-srinivasa-rao-g-suresh-kumar","provider":"Autorenwelt Shop","version":"1.0","type":"link"}