Diagonalization and stability of large-scale singularly perturbed linear system
نویسندگان
چکیده
منابع مشابه
Stability Region of Singularly Perturbed Systems
This paper studies the characterization of the stability boundary (the topological boundary of stability region) of nonlinear autonomous singularly perturbed dynamical systems. In particular, a relationship between the stability boundary of the singularly perturbed system and the stability boundary and stability region of the slow and fast systems is investigated. Conditions, in terms of loca...
متن کاملStochastic Stability of Singularly Perturbed Nonlinear Systems
The stability of a nonlinear stochastic dynamic system with singular perturbations is considered. Based on the notion of stochastic input-to-state stability and using time scale decomposition, a result of the total stability type is obtained, i.e. if the fast subsystem and the slow subsystem are both input-to-state stable with respect to disturbances, then this property continues to hold for th...
متن کاملApproximation of singularly perturbed linear hyperbolic systems
This paper is concerned with systems modelled by linear singularly perturbed partial differential equations. More precisely a class of linear systems of conservation laws with a small perturbation parameter is investigated. By setting the perturbation parameter to zero, the full system leads to two subsystems, the reduced system standing for the slow dynamics and the boundary-layer system repre...
متن کاملEvaluation of Penetration Level of Large-Scale Photovoltaic System on Voltage Stability of Power System
A power system is a nonlinear one. When turbulence occurs in the power system, the stability of the system depends on the initial operating conditions and the nature of the turbulence. Nowadays renewable energy sources including photovoltaic have a key role to meet high demand of modern societies and to maintain voltage of the buses, while they also provide clean electrical energy. However, inc...
متن کاملStability analysis and selection of optimuim support system of large scale underground space-Case study
The Azad pumped storage power plant including the pumping and transformer cavern and surge tanks has been located in the Sanandaj-Sirjan formation with the alternation of slate and phyllite and meta sandstone.Due to the sensitivity and special use of these spaces, stability analysis and ensuring the safety of carven is very important.Nowadays, using the surface storage tanks is very costly; The...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1988
ISSN: 0022-247X
DOI: 10.1016/0022-247x(88)90140-0