The second Lyapunov method for time-delay systems
In this paper, some classes of linear and nonlinear time-delay differential systems and linear differential systems without delay are considered, where some of these systems have periodic coefficient functions. In the entire paper, twelve theorems, are proved. All of these theorems are taken from various previous papers of the authors of this paper. The technique of the proofs of the results of this paper depends on the Lyapunov-Krasovskii functional method. Indeed, this paper gives a review of methods for the study of the stability of solutions in the case of constant and periodic coefficients in linear terms. No example is given as numerical applications of the given results. The results of this paper may be useful for the researchers working in this research field. For the entire collection see [Zbl 1479.34005].
scientific article; zbMATH DE number 7615928
scientific article