On the Density of Stabilizable Plants in the Class of Unstabilizable Plants
نویسندگان
چکیده
Let AR denote the set of functions from the disk algebra having real Fourier coefficients. Generalizing a result of A. Quadrat we show that every unstabilizable multi-input multi-output plant is as close as we want to a stabilizable multi-input multi-output plant in the product topology.
منابع مشابه
Coprime Factorizability and Stabilizability of Plants by Adding Some Objects
This paper is concerned with the factorization approach to control systems. We consider the models in which some plants admit or do not admit coprime factorization. In the case where the plants admits only one-side coprime factorization, it is known that the plant with additional zeros admits both side coprime factorizations. However we show that in the case where the plant do not admit coprime...
متن کاملRobust H∞ control for a class of uncertain nonlinear switched systems with average dwell time
This paper focuses on the robust H∞ control problem for a class of nonlinear switched systems containing neutral uncertainties with average dwell time (ADT). Uncertainties are assumed to be nonlinearly dependent on state and state derivative and allowed to appear in channels of state, control input and disturbance input. The robust H∞ control problem of the switched system with stabilizable and...
متن کاملOn a General Structure of the Stabilizing Controllers Based on Stable Range
In this paper, we prove that some stabilizing controllers of a plant, which admits a left/right-coprime factorization, have a special form where their stable and unstable parts are separated. The dimension of the unstable part depends on the algebraic concept of stable range of the ring A of SISO stable plants. Moreover, we prove that, if the stable range of A is equal to 1, then every plant—de...
متن کاملThe impact of meteorological drought and grazing on the vegetation structure in aridlands (Case study: Nakhab Forest, Khosf County)
Drought and grazing rangelands play an important role in changing the structure of vegetation and losing the biodiversity of natural ecosystems. In this research, in order to determine the effects of drought and livestock grazing on the vegetation structure of rangelands located in the Nakhab Forest of South Khorasan Province, species abundance, biodiversity, and range condition and trend were ...
متن کاملAbility of mountain rangelands in Marghevar region of Urmia for dual-purpose grazing and exploitation of medicinal plants
Multipurpose use of rangelands is one of the new challenges facing rangeland users, according to which grazing pressure in rangelands can be reduced and an important step can be taken to increase the welfare and empowerment of rangelands, preserve ecosystems and improve ecosystem services related to them. Therefore, the present study was conducted to evaluate the capability of mountain rangelan...
متن کامل