Stability of differential equations with piecewise constant arguments of generalized type
By Marat U. Akhmet. 2008
108 citations recorded by the source corpus.
Abstract In this paper we continue to consider differential equations with piecewise constant argument of generalized type (EPCAG) [M.U. Akhmet, Integral manifolds of differential equations with piecewise constant argument of generalized type, Nonlinear Anal. TMA 66 (2007) 367–383]. A deviating function of a new form is introduced. The linear and quasilinear systems are under discussion. The structure of the sets of solutions is specified. Necessary and sufficient conditions for stability of the zero solution are obtained. Our approach can be fruitfully applied to the investigation of stability, oscillations, controllability and many other problems of EPCAG. Some of the results were announced at The International Conference on Hybrid Systems and Applications, University of Louisiana, Lafayette, 2006.
Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/05335c26e890e610a76dfd7b8d9964be4d3a79f5
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In Applied Mathematics
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Citations in the corpus
- Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems (2011, methodology): “4 was obtained by Akhmet [4] under complicated and stronger conditions.”