Tests for Practical Stability of Positive Fractional Discrete-time Linear Systems
نویسنده
چکیده
The practical stability of positive fractional discrete-time linear systems is addressed. It is shown that: 1) the positive fractional systems are unstable if at least one diagonal entry of the system matrix is greater one, 2) checking of the practical stability of the systems can be reduced to checking of the asymptotic stability of corresponding positive linear systems. The considerations are illustrated by a numerical example.
منابع مشابه
Optimal Finite-time Control of Positive Linear Discrete-time Systems
This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...
متن کاملSimple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems
In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the correspo...
متن کاملNew Stability Tests of Positive Standard and Fractional Linear Systems
New tests for checking asymptotic stability of positive 1D continuous-time and discrete-time linear systems without and with delays and of positive 2D linear systems described by the general and the Roesser models are proposed. Checking of the asymptotic stability of positive 2D linear systems is reduced to checking of suitable corresponding 1D positive linear systems. It is shown that the stab...
متن کاملPractical stability of positive fractional discrete-time linear systems
In positive systems inputs, state variables and outputs take only non-negative values. Examples of positive systems are industrial processes involving chemical reactors, heat exchangers and distillation columns, storage systems, compartmental systems, water and atmospheric pollution models. A variety of models having positive linear behavior can be found in engineering, management science, econ...
متن کاملNew Stability Tests Of Positive 1D And 2D Linear Systems
New tests for checking asymptotic stability of positive 1D continuous-time and discrete-time linear systems without and with delays and of positive 2D linear systems described by the general and the Roesser models are proposed. Checking of the asymptotic stability of positive 2D linear systems is reduced to checking of suitable corresponding 1D positive linear systems. Effectiveness of the test...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010