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Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
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On periodic oscillations for a class of feedback control systems in Hilbert spaces

100%
Loi N.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2013
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tom 33
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nr 2
205-219
EN
In this paper, by using the topological degree theory for multivalued maps and the method of guiding functions in Hilbert spaces we deal with the existence of periodic oscillations for a class of feedback control systems in Hilbert spaces.
2
Content available remote

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

100%
Zhang Q., Yang L., Liao D.
International Journal of Applied Mathematics and Computer Science
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2011
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tom 21
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nr 4
649-658
EN
Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.
3

Periodic solutions of evolution problem associated with moving convex sets

75%
Castaing C., Monteiro Marques M.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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1995
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tom 15
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nr 2
99-127
EN
This paper is concerned with periodic solutions for perturbations of the sweeping process introduced by J.J. Moreau in 1971. The perturbed equation has the form $-Du ∈ N_{C(t)}(u(t)) + f(t,u(t))$ where C is a T-periodic multifunction from [0,T] into the set of nonempty convex weakly compact subsets of a separable Hilbert space H, $N_{C(t)}(u(t))$ is the normal cone of C(t) at u(t), f:[0,T] × H∪H is a Carathéodory function and Du is the differential measure of the periodic BV solution u. Several existence results of periodic solutions for this differential inclusion are stated under various assumptions on the moving convex set C(t) and the perturbation f.
4
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Periodic solutions for second-order Hamiltonian systems with a p-Laplacian

75%
Zhang X., Tang X.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
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2010
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tom 64
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nr 1
EN
In this paper, by using the least action principle, Sobolev’s inequality and Wirtinger’s inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
5
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On some topological methods in theory of neutral type operator differential inclusions with applications to control systems

63%
Kamenskii M., Obukhovskii V., Yao J.-C.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2013
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tom 33
|
nr 2
193-204
EN
We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
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