Adaptive control of nonlinear impulsive differential dynamical systems and its applications Article Swipe

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Liangliang Li , Zhengwen Tu , Yuming Feng , Zhou Guang-Hui ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.22541/au.170668295.50662900/v1

This paper discusses the problem of the adaptive control of nonlinear impulsive differential dynamical systems. First, a class of adaptive controllers are designed for the nonlinear impulsive differential equations, where the nonlinear function can be decomposed into matching condition and mismatching condition. Second, combining with Lasalle invariant set theorem, Schur complement theorem and some inequality techniques, we consider the synchronization of impulsively coupled complex networks via the general adaptive control. Moreover, this paper proposes the pining adaptive synchronization results for impulsive dynamical complex networks. Finally, some examples with simulations are given to demonstrate the effectiveness of our results.

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Mathematics

Differential (Mechanical Device)

Computer Science

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Nonlinear system Differential inclusion Control theory (sociology) Dynamical systems theory Invariant (physics) Synchronization (alternating current) Adaptive control Mathematics Nonlinear dynamical systems Differential (mechanical device) Applied mathematics Computer science Control (management) Topology (electrical circuits) Mathematical optimization Artificial intelligence Physics Thermodynamics Mathematical physics Combinatorics Quantum mechanics

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Type: preprint
Language: en
Landing Page: https://doi.org/10.22541/au.170668295.50662900/v1
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DOI: https://doi.org/10.22541/au.170668295.50662900/v1

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Title: Adaptive control of nonlinear impulsive differential dynamical systems and its applications

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Language: en

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Publication year: 2024

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Publication date: 2024-01-31

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Authors: Liangliang Li, Zhengwen Tu, Yuming Feng, Zhou Guang-Hui

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Concepts: Nonlinear system, Differential inclusion, Control theory (sociology), Dynamical systems theory, Invariant (physics), Synchronization (alternating current), Adaptive control, Mathematics, Nonlinear dynamical systems, Differential (mechanical device), Applied mathematics, Computer science, Control (management), Topology (electrical circuits), Mathematical optimization, Artificial intelligence, Physics, Thermodynamics, Mathematical physics, Combinatorics, Quantum mechanics

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abstract_inverted_index.Second,	42
abstract_inverted_index.complex	63, 82
abstract_inverted_index.control	8
abstract_inverted_index.coupled	62
abstract_inverted_index.general	67
abstract_inverted_index.problem	4
abstract_inverted_index.results	78
abstract_inverted_index.theorem	51
abstract_inverted_index.Finally,	84
abstract_inverted_index.adaptive	7, 19, 68, 76
abstract_inverted_index.consider	57
abstract_inverted_index.control.	69
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abstract_inverted_index.results.	97
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abstract_inverted_index.condition	38
abstract_inverted_index.discusses	2
abstract_inverted_index.dynamical	13, 81
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abstract_inverted_index.invariant	46
abstract_inverted_index.networks.	83
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abstract_inverted_index.mismatching	40
abstract_inverted_index.simulations	88
abstract_inverted_index.techniques,	55
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cited_by_percentile_year
corresponding_author_ids	https://openalex.org/A5100739412
countries_distinct_count	1
institutions_distinct_count	4
corresponding_institution_ids	https://openalex.org/I165859042
citation_normalized_percentile.value	0.01308385
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False