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Branch-and-bound algorithm for computing the minimum stability degree of parameter-dependent linear systems
Branch and bound algorithm linear systems a robust nonlinear and linear system stability the parameters of linear system
2015/8/12
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that exponential stability implies the existence of a positive Ly...
Symmetries, Stability, and Control in Nonlinear Systems and Networks
Nonlinear Systems Networks math
2010/11/8
This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and eq...
Nonlinear Stability for the Periodic and Non-Periodic Zakharov System
Nonlinear Stability the Periodic Non-Periodic Zakharov System
2010/11/22
We prove the existence of a smooth curve of periodic traveling wave solutions for the Zakharov system. We also show that this type of solutions are nonlinear stable by the periodic flow generated for...
The movement of a flock with a single leader (and a directed path from it to every agent) can be stabilized. Nonetheless for large flocks perturbations in the movement of the leader may grow to a cons...
Stability of N-Dimensional Linear Systems with Multiple Delays and Application to Synchronization
Chaos synchronization multi-delay linear systems stability
2007/12/11
This paper further investigates the stability of the n-dimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the n-dimensio...
THE GEOMETRIC PROPERTIES OF THE SET OF LYAPUNOV MATRICES AND THE STABILITY OF THE MATRIX FAMILY
Stability Matrix family Lyapunov equat
2007/8/7
Given a stable matrix A∈C~(n×n), there are some simple simultaneous inequalities whose coefficients rely on A. For \forall P~H=P∈C~(n×n), if P satisfies these inequlities, then PA+A~HP<0. As anapplica...
专著信息
书名
Convection in rotating annular channels heated from below: Part 1. Linear stability and weakly nonlinear mean flows
语种
英文
撰写或编译
作者
Liao X.,Zhang K.,Y. Chang
第一作者单位
出版社
Geophys. Astrophys. Flui...
期刊信息
篇名
Analysis of Stability Characteristics of Nonlinear FSI System in Internal Flows
语种
英文
撰写或编译
撰写
作者
Zhang Lixiang,Huang Wenhu,Li Jibin
第一作者单位
昆明理工大学,哈尔滨工业大学,昆明理工大学
刊物名称
Journal of Hydrodynamics
...
