How to Determine that All the Roots of a TranscendentalPolynomial Have Negative Real Parts ?
نویسنده
چکیده
A transcendental polynomial which has all its roots lying in the left half-plane is called stable. In this paper, the stability of transcendental polynomials which are nearly as general as those discussed by L.S. Pontryagin are investigated through direct analytic method. For application of the method presented in this paper,the asymptotic stability of some diierential-diierence equations is investigated.
منابع مشابه
A Review on Local Asymptotic Stability Analysis for Mathematical Models of Hematopoiesis with Delay and Delay - Dependent Coefficients ( Local Asymptotic Stability Analysis for Delay Models ) Fabien
Stability analysis of mathematical models of hematopoiesis (blood cell production process), described by differential equations with delay, needs to locate eigenvalues of characteristic equations that are usually exponential polynomial functions with delay-dependent coefficients. It is then more complicated than for ordinary differential equations to determine conditions for all roots to have n...
متن کاملIn vitro production of secondary metabolite using Atropa komarovii Bline&Shal (Solanaceae) hairy root culture via Agrobacterium rhizogenes ATCC15834
Background & Aim:A new sustainable tissue-based system is presented by plant hairy roots, preserving all of the several specialized types of cell with critical roles in allowing bioactive secondary molecules to be synthesized more consistently as usual. The system is also essential for studying the production of alkaloid in culture. Experimental: The ...
متن کاملIn vitro production of secondary metabolite using Atropa komarovii Bline&Shal (Solanaceae) hairy root culture via Agrobacterium rhizogenes ATCC15834
Background & Aim:A new sustainable tissue-based system is presented by plant hairy roots, preserving all of the several specialized types of cell with critical roles in allowing bioactive secondary molecules to be synthesized more consistently as usual. The system is also essential for studying the production of alkaloid in culture. Experimental: The ...
متن کاملWhy COVID-19 Laboratory Personnel Should Be Tested Before Attending the Laboratory: how even the most experienced personnel conta350minate clinical samples
Dear Editor in Chief Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has resulted in a pandemic (1). Early diagnosis and testing of symptomatic individuals and asymptomatic carriers (2) remain essential since the latter group can transmit the virus (3,4). Current assays for SARS-CoV-2 detection are mostly based on quantitative real-time PCR (RT-qPCR)(5). However, cross-contaminat...
متن کاملImproving LNMF Performance of Facial Expression Recognition via Significant Parts Extraction using Shapley Value
Nonnegative Matrix Factorization (NMF) algorithms have been utilized in a wide range of real applications. NMF is done by several researchers to its part based representation property especially in the facial expression recognition problem. It decomposes a face image into its essential parts (e.g. nose, lips, etc.) but in all previous attempts, it is neglected that all features achieved by NMF ...
متن کامل