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1
Content available New sufficient conditions of global stability of nonlinear positive electrical circuits
Kaczorek Tadeusz
Poznan University of Technology Academic Journals. Electrical Engineering
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2020
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No. 103
7--14
EN
The global stability of electrical circuits composed of positive linear parts and nonlinear static element with given characteristic and positive gain feedbacks is investigated. New sufficient conditions for the global stability of this class of nonlinear positive electrical circuits are established. These new stability conditions are demonstrated on simples examples of positive nonlinear electrical circuits.
2
Content available Simple sufficient conditions for asymptotic stability of positive linear systems for any switchings
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2013
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Vol. 61, nr 2
343--347
EN
The asymptotic stability of positive switched linear systems for any switchings is addressed. Simple sufficient conditions for the asymptotic stability of positive switched continuous-time and discrete-time linear systems are established. It is shown that the positive switched continuous-time (discrete-time) system is asymptotically stable for any switchings if the sum of entries of every column of the matrices of subsystems is negative (less than 1)
3
Content available Positive realizations with reduced numbers of delays for 2D continuous-discrete linear systems
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2012
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Vol. 60, nr 4
835-840
EN
A new method is proposed for determination of positive realizations with reduced numbers of delays of linear 2D continuousdiscrete systems. Sufficient conditions for the existence of the positive realizations of a given proper transfer function are established. It is shown that there exists a positive realization with reduced numbers of delays if there exists a positive realization without delays but with a greater dimension. The proposed method is demonstrated on a numerical example.
4
Content available On connected functions in ordered spaces
Jędrzejewski J.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2010
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Vol. 15
51--58
EN
We consider some properties of functions defined in a topological space X with values in a topological space Y. The definitions 1, 2 and 3 define the same class of functions when X and Y are equal to R with natural topology. In this article we discuss some properties of those classes and give some sufficient conditions for the space X in which real functions defined in X form the same class.
5
Content available remote Multiobjective variational programming under generalized (V, p)-B-type I functions
Khazafi K., Rueda N., Enflo P.
Control and Cybernetics
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2009
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Vol. 38, no 2
555-572
EN
In this paper, we generalize the (V, p)-invexity denned for nonsmooth multiobjective fractional programming by Mishra, Rueda and Giorgi (2003) to variational programming problems by defining new classes of vector- valued functions called (V, p)-B-type I and generalized (V, p)-B-type I. Then we use these new classes to derive various sufficient optimality conditions and mixed type duality results.
6
Content available System of production order verification in application to service of customer
Saniuk A., Saniuk S.
Applied Computer Science
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2005
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Vol.1, no 1
133--140
EN
In this paper the efficiency of the System of Production Order Verification in application to service of customer is examined. Its aim is to find out whether a given work order can be accepted to be processed in an enterprise and satisfy the customer’s requirements within constraints imposed by the enterprise configuration and the process of manufacturing of other products. The presented system is illustrated on an example.
7
Content available remote Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity
Aghezzaf B., Khazafi K.
Control and Cybernetics
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2004
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Vol. 33, no 1
113-126
EN
In this paper, we consider the multiobjective variational problem. We propose a class of generalized B-type I vector-valued functions and use this concept to establish sufficient optimality conditions and mixed type duality results
8
Content available Theconjugate points sufficient conditions for an optimal control
Szymanowska A.
Control and Cybernetics
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1998
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Vol. 27, no 3
353-362
EN
The paper concerns an application of the idea of field theory and the concept of "concourse of flights" to the sufficient optimality conditions for the optimal control problems stated in terms of focal and conjugate points. The concept of concourse of flights was begun by Young (1969), and later extended by Nowakowski (1988). In the paper the definition of a focal and conjugate point of a field of extremals is given. Using these concepts, we prove that the existence of a field of extremals without conjugate points implies the existence of concourse of flights and consequently we obtain the second order sufficient conditions for the generalized problem of Bolza. Another approach to the concept of focal and conjugate points is given by Zeidan (1983, 1984).
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