Some properties of solutions of the semi-state model for nonlinear nonstationary systems
type: Item
instance of: scholarly article
title: Some properties of solutions of the semi-state model for nonlinear nonstationary systems
zbMATH Open document ID: 0608.93039
DOI: 10.1007/BF01600190
author: Mirko M. Milic
author: Vladimir B. Bajić
published in: Circuits, Systems, and Signal Processing
publication date: 1986-01-01T00:00:00Z
review text: The paper deals with the behavior of the solution of the semistate model for a large class of nonlinear time-variable systems via Lyapunov's approach using quadratic form aggregate functions. The direct method of Lyapunov seems to be an appropriate mathematical tool for such an investigation and is employed in the paper. The mathematics used in the paper permits dealing with rectangular matrices. Extensions of known results presented in the literature are developed for various properties of solutions. Simple sufficient algebraic criteria are given which are tightly connected with tests that ensure appropriate properties of solution. The paper is well organized and written and highly suggested to those involved in the corresponding area of interest.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34A99
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 3985076
zbMATH Keywords: time-dependent
Wikidata QID: Q57255530
MaRDI profile type: Publication
cites work: Q4132373
cites work: Q3966072
cites work: Q3852479
cites work: Q3261425
cites work: Stability theory by Liapunov's direct method
cites work: Novel development of Lyapunov stability of motion
full work available at URL: https://doi.org/10.1007/bf01600190
OpenAlex ID: W2070508148
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description: scientific article; zbMATH DE number 3985076