NEW APPROACH IN STABILITY TO THE COMPARISON METHOD APPLIED TO THE LIAPUNOV DIRECT METHOD

被引：0

作者：

Cantarelli, G. ^{[1
]}

机构：

[1] Dipartimento Matemat & Informat, Viale Merello 92, I-09123 Cagliari, Italy

来源：

MATEMATICHE | 2006年 / 61卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with the stability of the stationary solution of the Lagrange equations for holonomic-rehonomic mechanical systems, by applying the comparison method to the direct Liapunov method. The stability criteria are based on the lemma given in Section 2, where we show that the eventual stability of the zero solution of the comparison equation can imply the stability of the stationary solution of the Lagrange equations.

引用

页码：231 / 244

页数：14

共 50 条

[21] EXACT DIFFERENTIAL METHOD TO DETERMINE LIAPUNOV STABILITY
RAHMAN, MA
AIAA JOURNAL, 1971, 9 (01) : 186 - &
[22] DYNAMIC STABILITY OF ELASTIC ROTOR-BEARING SYSTEMS VIA LIAPUNOV DIRECT METHOD
ELMARHOMY, AA
SCHLACK, AL
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1991, 58 (04): : 1056 - 1063
[23] STABILITY BOUNDARY FOR SLIP POWER RECOVERY DRIVE BY LIAPUNOV'S DIRECT METHOD.
Datta, K.B.
Chaki, S.R.
IETE Journal of Research, 1984, 30 (01) : 12 - 14
[24] TREATMENT OF DYNAMIC PUNCTURE PROBLEMS WITH DIRECT LIAPUNOV METHOD
RIZZI, P
HAGEDORN, P
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1972, 23 (05): : 852 - 857
[25] A NOTE ON THE RELATIONSHIP BETWEEN THERMODYNAMICS AND LIAPUNOV DIRECT METHOD
TARBELL, JM
CHEMICAL ENGINEERING COMMUNICATIONS, 1982, 14 (3-6) : 371 - 378
[26] PRACTICAL CONSIDERATIONS ON THE TRANSIENT STABILITY POWER SYSTEM STUDIES BY LIAPUNOV'S DIRECT METHOD.
Ribbens-Pavella, M.
Horward, J.L.
1600, (07):
[27] Dynamic stability of elastic rotor-bearing systems via Liapunov's direct method
El-Marhomy, Abd Alla
Schlack Jr., A.L.
Journal of Applied Mechanics, Transactions ASME, 1991, 58 (04): : 1058 - 1063
[28] A NEW PROOF OF ROUTH-HURWITZ STABILITY CRITERION USING SECOND METHOD OF LIAPUNOV
PARKS, PC
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1962, 58 (OCT): : 694 - &
[29] The Stability of Functional Equations with a New Direct Method
Zhang, Dongwen
Liu, Qi
Rassias, John Michael
Li, Yongjin
MATHEMATICS, 2022, 10 (07)
[30] Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method
Messina E.
Russo E.
Vecchio A.
Ricerche di Matematica, 2015, 64 (2) : 345 - 355

← 1 2 3 4 5 →