On Criteria for Linear Stability
نویسندگان
چکیده
منابع مشابه
Stability criteria for linear Hamiltonian dynamic systems on time scales
* Correspondence: tangxh@mail. csu.edu.cn School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410083, Hunan, P.R. China Full list of author information is available at the end of the article Abstract In this article, we establish some stability criteria for the polar linear Hamiltonian dynamic system on time scales x (t) = α(t)x(σ (t)) + β(t)y(t), y (t) ...
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where p(t) and q(t) are real-valued functions and p(t) 6= 0 for any t ∈ R. In what follows we assume that a(t), b(t), and c(t) satisfy the periodicity conditions a(t+ T ) = a(t), b(t+ T ) = b(t), c(t+ T ) = c(t), t ∈ R. The system (2) (or (3)) is said to be stable if all solutions are bounded on R, unstable if all nontrivial solutions are unbounded on R, and conditionally stable if there exits ...
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چکیده ندارد.
15 صفحه اولStability criteria of linear neutral systems with a single delay
This article mainly considers the linear neutral delay-differential systems with a single delay. Using the characteristic equation of the system, new simple delay-independent asymptotic and exponential stability criteria are derived in terms of the matrix measure, the spectral norm and the spectral radius of the corresponding matrices. Numerical examples demonstrate that our criteria are less c...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1957
ISSN: 0022-2518
DOI: 10.1512/iumj.1957.6.56013