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Optimizing the linear quadratic minimum-time problem for discrete distributed systems

100%
Rachik M., Abdelhak A.
International Journal of Applied Mathematics and Computer Science
|
2002
|
tom 12
|
nr 2
153-160
EN
With reference to the work of Verriest and Lewis (1991) on continuous finite-dimensional systems, the linear quadratic minimum-time problem is considered for discrete distributed systems and discrete distributed time delay systems. We treat the problem in two variants, with fixed and free end points. We consider a cost functional J which includes time, energy and precision terms, and then we investigate the optimal pair (N, u) which minimizes J.
2
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ABR traffic control over multisource single-bottleneck ATM networks

100%
Bartoszewicz A., Molik T.
International Journal of Applied Mathematics and Computer Science
|
2004
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tom 14
|
nr 1
43-51
EN
The problem of flow control in fast, connection-oriented communication networks supporting the traffic generated by multiple sources is considered. A novel sampled time strategy governing the behaviour of the sources is proposed. The strategy combines the Smith principle with the conventional sampled time proportional controller. It guarantees an equal resource allocation between various users, full bottleneck link utilisation and no cell loss in the controlled network. Consequently, the need for cell retransmission is eliminated and a high throughput is ensured. Furthermore, transmission rates generated by the algorithm are limited. This property permits a direct implementation of the proposed strategy in the network environment. A simulation example confirms favourable performances of the proposed control scheme.
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Exponential estimates of a class of time-delay nonlinear systems with convex representations

88%
Ramírez M., Villafuerte R., González T., Bernal M.
International Journal of Applied Mathematics and Computer Science
|
2015
|
tom 25
|
nr 4
815-826
EN
This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov-Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.
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