The Experts below are selected from a list of 9117 Experts worldwide ranked by ideXlab platform
Robert Plebaniak - One of the best experts on this subject based on the ideXlab platform.
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Periodic Point, Endpoint, and Convergence Theorems for Dissipative Set-Valued Dynamic Systems with Generalized Pseudodistances in Cone Uniform and Uniform Spaces
2015Co-Authors: Kazimierz Włodarczyk, Robert PlebaniakAbstract:the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In cone uniform and uniform spaces, we introduce the three kinds of Dissipative set-valued Dynamic systems with generalized pseudodistances and not necessarily lower semicontinuous entropies, we study the convergence of Dynamic processes and generalized sequences of iterations of these Dissipative Dynamic systems, and we establish conditions guaranteeing the existence of periodic points and endpoints of these Dissipative Dynamic systems and the convergence to these periodic points and endpoints of Dynamic processes and generalized sequences of iterations of these Dissipative Dynamic systems. The paper includes examples. 1
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Periodic Point, Endpoint, and Convergence Theorems for Dissipative Set-Valued Dynamic Systems with Generalized Pseudodistances in Cone Uniform and Uniform Spaces
Fixed Point Theory and Applications, 2010Co-Authors: Kazimierz Włodarczyk, Robert PlebaniakAbstract:In cone uniform and uniform spaces, we introduce the three kinds of Dissipative set-valued Dynamic systems with generalized pseudodistances and not necessarily lower semicontinuous entropies, we study the convergence of Dynamic processes and generalized sequences of iterations of these Dissipative Dynamic systems, and we establish conditions guaranteeing the existence of periodic points and endpoints of these Dissipative Dynamic systems and the convergence to these periodic points and endpoints of Dynamic processes and generalized sequences of iterations of these Dissipative Dynamic systems. The paper includes examples.
Kazimierz Włodarczyk - One of the best experts on this subject based on the ideXlab platform.
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Periodic Point, Endpoint, and Convergence Theorems for Dissipative Set-Valued Dynamic Systems with Generalized Pseudodistances in Cone Uniform and Uniform Spaces
2015Co-Authors: Kazimierz Włodarczyk, Robert PlebaniakAbstract:the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In cone uniform and uniform spaces, we introduce the three kinds of Dissipative set-valued Dynamic systems with generalized pseudodistances and not necessarily lower semicontinuous entropies, we study the convergence of Dynamic processes and generalized sequences of iterations of these Dissipative Dynamic systems, and we establish conditions guaranteeing the existence of periodic points and endpoints of these Dissipative Dynamic systems and the convergence to these periodic points and endpoints of Dynamic processes and generalized sequences of iterations of these Dissipative Dynamic systems. The paper includes examples. 1
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Periodic Point, Endpoint, and Convergence Theorems for Dissipative Set-Valued Dynamic Systems with Generalized Pseudodistances in Cone Uniform and Uniform Spaces
Fixed Point Theory and Applications, 2010Co-Authors: Kazimierz Włodarczyk, Robert PlebaniakAbstract:In cone uniform and uniform spaces, we introduce the three kinds of Dissipative set-valued Dynamic systems with generalized pseudodistances and not necessarily lower semicontinuous entropies, we study the convergence of Dynamic processes and generalized sequences of iterations of these Dissipative Dynamic systems, and we establish conditions guaranteeing the existence of periodic points and endpoints of these Dissipative Dynamic systems and the convergence to these periodic points and endpoints of Dynamic processes and generalized sequences of iterations of these Dissipative Dynamic systems. The paper includes examples.
Yujie Zhang - One of the best experts on this subject based on the ideXlab platform.
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resilient Dissipative Dynamic output feedback control for uncertain markov jump lur e systems with time varying delays
Nonlinear Analysis: Hybrid Systems, 2017Co-Authors: Yujie Zhang, Yimin ZhouAbstract:Abstract The resilient Dissipative Dynamic output feedback control problem for a class of uncertain Markov jump Lur’e systems with piecewise homogeneous transition probabilities and time-varying delays in the discrete-time domain are examined in this study. The designed controller can tolerate additive uncertainties in the controller gain matrix, which result from controller implementations. The time-varying delays are also supposed to be mode-dependent with lower and upper bounds known a priori . By constructing a Lyapunov–Krasovskii functional candidate, the sufficient conditions regarding the existence of desired resilient Dissipative controllers are obtained in terms of linear matrix inequalities, thereby ensuring that the resulting closed-loop system is stochastically stable and strictly Dissipative. Two numerical examples were established to illustrate the effectiveness of the proposed theoretical results.
Xiaojie Su - One of the best experts on this subject based on the ideXlab platform.
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finite region Dissipative Dynamic output feedback control for 2 d fm systems with missing measurements
Information Sciences, 2020Co-Authors: Rongni Yang, Lingling Li, Xiaojie SuAbstract:Abstract This paper focuses on the finite-region Dissipative Dynamic output feedback control problem for a class of discrete-time two-dimensional (2-D) Fornasini–Marchesini (FM) systems with missing measurements. Firstly, the definitions of finite-region boundedness (FRB) and finite-region (T, S, R)-ϑ-dissipativity are introduced for 2-D FM systems. Secondly, sufficient conditions on the FRB and finite-region (T, S, R)-ϑ-dissipativity of the resultant closed-loop 2-D systems are obtained by the construction of the Lyapunov function and the special recursive formulas. Thirdly, based on the decoupling technique, the desired Dynamic output feedback controller design method for the considered 2-D systems is further provided. In the end, an example of the metal rolling process is given to show the effectiveness of the proposed design results.
Yimin Zhou - One of the best experts on this subject based on the ideXlab platform.
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resilient Dissipative Dynamic output feedback control for uncertain markov jump lur e systems with time varying delays
Nonlinear Analysis: Hybrid Systems, 2017Co-Authors: Yujie Zhang, Yimin ZhouAbstract:Abstract The resilient Dissipative Dynamic output feedback control problem for a class of uncertain Markov jump Lur’e systems with piecewise homogeneous transition probabilities and time-varying delays in the discrete-time domain are examined in this study. The designed controller can tolerate additive uncertainties in the controller gain matrix, which result from controller implementations. The time-varying delays are also supposed to be mode-dependent with lower and upper bounds known a priori . By constructing a Lyapunov–Krasovskii functional candidate, the sufficient conditions regarding the existence of desired resilient Dissipative controllers are obtained in terms of linear matrix inequalities, thereby ensuring that the resulting closed-loop system is stochastically stable and strictly Dissipative. Two numerical examples were established to illustrate the effectiveness of the proposed theoretical results.