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complete controllability of nonlinear fractional neutral functional differential equations

ADVANCES IN CONTINUOUS AND DISCRETE MODELS 2022年第1期2022卷 33-33页

作者： Wen, Yanhua Xi, Xuan-Xuan Anhui Jianzhu Univ Sch Math & Phys Hefei Peoples R China Xiangtan Univ Fac Math & Computat Sci Xiangtan Hunan Peoples R China

This paper is concerned with the complete controllability of a nonlinear fractional neutral functional differential equation. Some sufficient conditions are established for the complete controllability of the nonlinear fractional system. The conditions are established based on the fractional power of operators and the fixed-point theorem under the assumption that the associated linear system is completely controllable. Finally, an example is presented to illustrate our main result.

关键词： complete controllability Fractional nonlinear neutral functional differential equation Banach fixed-point theorem Mild solution

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complete controllability of Piecewise Time-Varying Impulsive Systems with Multiple Input Delays 40

Complete Controllability of Piecewise Time-Varying Impulsive...

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40th Chinese Control Conference (CCC)

作者： Yan, Jiayuan Hu, Bin Chen, Long Zhang, Ding-Xue Guan, Zhi-Hong Huazhong Univ Sci & Technol Sch Artificial Intelligence & Automat Wuhan 430074 Peoples R China Yangtze Univ Sch Petr Engn Jingzhou 434023 Peoples R China

ISBN: (纸本)9789881563804

This paper deals with the complete controllability for piecewise linear time-varying impulsive systems with multiple time delays in input. The problem is addressed based on algebraic and geometric methods. First, an explicit solution for such systems is established via variation of parameters and mathematical induction. Then, based on the derived solution, complete controllability is investigated and several necessary and sufficient controllability criteria are established analytically for the underlying system. Finally, the obtained controllability conditions are verified through one numerical example. Compared with previous studies, the considered model is more general and the results obtained in this paper are less conservative.

关键词： complete controllability Impulsive system Piecewise system Multiple time delays Delayed input

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complete controllability of Piecewise Time-Varying Impulsive Systems with Multiple Input Delays

Complete Controllability of Piecewise Time-Varying Impulsive...

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第40届中国控制会议

作者： Jiayuan Yan Bin Hu Long Chen Ding-Xue Zhang Zhi-Hong Guan School of Artificial Intelligence and Automation Huazhong University of Science and Technology School of Petroleum Engineering Yangtze University

关键词： complete controllability Impulsive system Piecewise system Multiple time delays Delayed input

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Constructive Proof for complete controllability of a Rolling Pseudo-Hyperbolic Space 13

Constructive Proof for Complete Controllability of a Rolling...

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13th APCA International Conference on Control and Soft Computing (CONTROLO)

作者： Marques, Andre Leite, Fatima Silva Polytech Inst Viseu Sci Area Math Sch Technol & Management Viseu Portugal Univ Coimbra Inst Syst & Robot Coimbra Portugal Univ Coimbra Deptartment Math Coimbra Portugal

ISBN: (纸本)9781538672235

We present a constructive proof for complete controllability of the rolling motion of a 2-dimensional pseudohyperbolic space, with index zero, over the affine space associated with the tangent space at a point. This motion is assumed to have the constraints of no-twist and no-slip (pure rolling). It is already known that, under mild conditions, this system is controllable, which means that any admissible configuration of the rolling manifold can be obtained from any other by rolling without violating the constraints. This result is obtained via some algebraic theoretical arguments that do not specify how to reach a configuration from another. But from a practical point of view an important issue is to know exactly how this can be achieved. The main objective of the present paper is to address this problem. We will describe a procedure that shows precisely how to move the 2-dimensional pseudo-hyperbolic space between two admissible configurations. This is accomplished by generating the forbidden motions of twist and slip using only pure rolling motions.

关键词： complete controllability kinematic equations pseudo-hyperbolic space rolling slip twist

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Approximate controllability and complete controllability of semilinear fractional functional differential systems with control

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ADVANCES IN DIFFERENCE EQUATIONS 2018年第1期2018卷 1页

作者： Wen, Yanhua Zhou, Xian-Feng Anhui Univ Sch Math Sci Hefei Anhui Peoples R China

This paper is concerned with the approximate controllability and complete controllability of semilinear fractional functional differential systems with control involving Caputo fractional derivative. By using the operator semigroup theory and the fixed point theorem, we establish sufficient conditions for each of these types of controllability. The results are obtained under the assumption that the corresponding linear system is approximately controllable and completely controllable, respectively. In the end, an example is presented to illustrate the obtained theory.

关键词： Fractional functional differential system Approximate controllability complete controllability Mild solution

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complete controllability of a Delayed Semilinear Stochastic Control System

Complete Controllability of a Delayed Semilinear Stochastic ...

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International Conference on Recent Trends in Mathematical Analysis and its Applications (ICRTMAA)

作者： Arora, Urvashi Sukavanam, N. Indian Inst Technol Roorkee Dept Math Roorkee 247667 Uttar Pradesh India

In this paper, complete controllability of a delayed semilinear stochastic system is considered under some basic and readily verified conditions. A fixed-point approach is employed for achieving the required result. A... 详细信息

ISBN: (纸本)9788132224853;9788132224846

关键词： complete controllability Delayed system Stochastic control system Banach fixed point theorem

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complete controllability of semi-linear stochastic system with delay

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RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO 2015年第2期64卷 209-220页

作者： Shukla, Anurag Sukavanam, N. Pandey, D. N. Indian Inst Technol Roorkee Dept Math Roorkee 247667 Uttar Pradesh India

This paper deals with the complete controllability of semilinear stochastic system with delay under the assumption that the corresponding linear system is completely controllable. The control function for this system is suitably constructed by using the controllability operator. With this control function, the sufficient conditions for the complete controllability of the proposed problem in finite dimensional are established. The results are obtained by using Banach fixed point theorem. Finally, one example is provided to illustrate the application of the obtained results.

关键词： complete controllability Semilinear systems Stochastic control system Control delayed

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complete controllability of Impulsive Semilinear Stochastic Retarded System

Complete Controllability of Impulsive Semilinear Stochastic ...

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International Conference on Signal Processing, Computing and Control (ISPCC)

作者： Shukla, Anurag Sukavanam, N. Pandey, D. N. Indian Inst Technol Roorkee Dept Math Roorkee 247667 Uttar Pradesh India

ISBN: (纸本)9781479984367

This paper deals with the complete controllability of impulsive semilinear stochastic retarded system under the assumption that the corresponding linear system is completely controllable Sufficient conditions for the proposed problem in finite dimensional are established by using Banach fixed point theorem. Finally, one example is provided to illustrate the application of the obtained results.

关键词： complete controllability semilinear stochastic system retarded system Banach fixed point theorem

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controllability of second order discrete-time descriptor systems

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ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 2025年 31卷

作者： Phi, Ha Thuan, Do Duc Hanoi Univ Sci & Technol Fac Math & Informat 1 Dai Co Viet Str Hanoi Vietnam

This paper is mainly devoted to the controllability of second order discrete-time descriptor systems. Characterizations for different controllability concepts are derived and feedback designs are investigated by transforming the system into an appropriate form and then making use of novel methods. It shows how classical rank conditions for first order systems can be generalized to second order systems. This work extends and complements the researches about controllability of high-order descriptor systems.

关键词： Second order systems descriptor systems causal controllability complete controllability strong controllability feedback

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complete controllability for abstract measure differential systems

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2013年第7期23卷 807-814页

作者： Wan, Xiaojun Sun, Jitao Tongji Univ Dept Math Shanghai 200092 Peoples R China

In this paper, we investigate the complete controllability for abstract measure differential systems. Firstly, we introduce several new concepts about complete controllability for abstract measure differential systems. Then, on the basis of the Sadovskii fixed-point theorem, we give sufficient conditions for complete controllability for a class of abstract measure differential systems. The compactness of the semigroup generated by some operator is unnecessary in this paper, and we show that our results, dealing with complete controllability problem for an ordinary differential system in infinite-dimensional Banach space, are also less conservative than that in the previous literature. Copyright (c) 2012 John Wiley & Sons, Ltd.

关键词： complete controllability abstract differential systems measure differential systems Sadovskii fixed-point theorem

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