Liapunov functions and stability criteria for nonlinear systems with multiple critical eigenvalues

Fu, Jyun-Horng

doi:10.1007/bf01212272

Search citation statements

Order By: Relevance

Paper Sections

Select...

Results1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1999

2016

Publication Types

Select...

Article5

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 9 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For a diagonalizable matrix A, several sufficient conditions were proposed, e.g., in [2,4,5] for particular classes of (3). We will use the following more general result.…”

Section: Resultsmentioning

confidence: 99%

Asymptotic behavior of solutions of nonlinear systems with multiple imaginary eigenvalues

Grushkovskaya

2016

Proc Appl Math and Mech

View full text Add to dashboard Cite

The paper is devoted to the analysis of the decay rate of solutions of a nonlinear system with two pairs of purely imaginary eigenvalues. The main result is the power estimate for the norm of solutions. It is proven that the order of such estimate varies for cases of a diagonalizable matrix of linear approximation, and for a matrix containing a Jordan block. Another result of this work provides sufficient asymptotic stability conditions regardless of forms higher than the third order.

show abstract

“…For a diagonalizable matrix A, several sufficient conditions were proposed, e.g., in [2,4,5] for particular classes of (3). We will use the following more general result.…”

Section: Resultsmentioning

confidence: 99%