An implicit systems characterization of a class of impulsive linear switched control processes. Part 1: Modeling期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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An implicit systems characterization of a class of impulsive linear switched control processes. Part 1: Modeling

Institution:	1. CINVESTAV-IPN, Departamento de Control Automático, UMI 3175, CINVESTAV–CNRS, A.P. 14-740, CP 07000, México D.F., Mexico;2. LUNAM Université, CNRS, IRCCyN UMR CNRS 6597, 1 Rue de la Noe, F-44321 Nantes, France;3. System Analysis and Control, Engineering Group Younicos AG, Am Studio 16, Technology Park, Berlin - Adlershof, D-12489 Berlin, Germany;1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China;2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China;3. Department of Mathematics, Shanghai University, Shanghai 200444, China;1. European Commission, DG Joint Research Centre (JRC), Institute for the Protection and Security of the Citizen (IPSC), Via E. Fermi 2749, 21027 Ispra (VA), Italy;2. CNR, Istituto di Matematica Applicata e Tecnologie Informatiche “Enrico Magenes”, Via E. Bassini 15, 20133 Milano, Italy;1. School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China;2. School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China;3. School of Environmental and Biological Science and Technology, Dalian University of Technology, Dalian, Liaoning 116012, PR China;1. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China;2. Departamento de Análisis Matemático and Instituto de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Mathematics, Pusan National University, Busan 609-735, Republic of Korea

Abstract:	Our paper focuses on a fundamental structural property associated with a family of linear switched control systems in the presence of impulsive dynamics. We consider dynamic processes governed by piecewise linear ODEs with controlled location transitions and describe the resulting system in a constructive form of an implicit dynamic system. The proposed algebraic-based modeling framework follows the celebrated behavioral approach (see Polderman and Willems (1998)) and makes it possible to apply to the switched dynamics some conventional techniques from the well-established time-invariant implicit systems theory. The analytic results of our paper constitute a formal theoretical extension of switched control systems methodology and can be used (as an auxiliary step) in a concrete control design procedure. In this first part, we consider modeling aspects.

Keywords:	Piecewise linear dynamic systems Impulsive switched control strategies Implicit differential equations
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