Abstract
The theory of systems of functional-differential equations is a significant and rapidly developing sphere of modern mathematics which finds extensive application in complex systems of automatic control and in economic, ecological, and biological models. Naturally, the problem arises of the stability of the processes described by the class of equations mentioned.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Elsgoltz, L.E. [1954] Stability of Solutions of Difference-Differential Equations, Uspekhi Mat. Nauk, 9, 4, 95–112 (in Russian).
Morse, A.S [1976] Ring Models for Delay-Differential Systems, Automatica, 12, 5, 529–531.
Asmykovich, LK. and Marchenko, V.M. [1976] Control of a Spectrum of Systems with Delay, Avtomat. i Telemekh., 7, 5–14.
Datko, R. [1985] Remarks Concerning the Asymptotic Stability and Stabilization of Linear Delay Differential Equations, J. Math. Anal. Appl., 111, 2, 571–584.
Vicker, D.A. [1934] Dynamics of Automatic Rheostat Voltage Regulators, Electricity, 9, 26–30 (in Russian).
Karnishin, S.G. [1987] On Stability of Linear Functional-Differential Equations with Respect to Part of the Variables, in Functional-Differential Equations, 48–52, Perm’: lzdat. Permsk. Politekhn. Inst. (in Russian).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Birkhäuser Boston
About this chapter
Cite this chapter
Vorotnikov, V.I. (1998). Stability and Stabilization of Functional-Differential Equations with Respect to Part of the Variables. In: Partial Stability and Control. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4150-8_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4150-8_7
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8675-2
Online ISBN: 978-1-4612-4150-8
eBook Packages: Springer Book Archive