Affine LPV systems: realization theory, input-output equations and relationship with linear switched systems
Mihaly Petreczky, Guillaume Mercère, Roland Tóth
备注：
This paper is an extended version of Mihály Petreczky, Guillaume Mercère: Affine LPV systems: Realization theory, input-output equations and relationship with linear switched systems. CDC 2012: 4511-4516. 2012. The main difference with respect to the previous version is that some errors have been corrected, proofs and explanation were added. arXiv admin note: text overlap with arXiv:1103.1343 by other authors
We formulate a Kalman-style realization theory for discrete-time affine LPV systems. By an affine LPV system we mean an LPV system whose matrices are affine functions of the scheduling parameter. In this paper we characterize those input-output behaviors which exactly correspond to affine LPV systems. In addition, we characterize minimal affine LPV systems which realize a given input-output behavior. Furthermore, we explain the relationship between Markov-parameters, Hankel-matrices, existence of an affine LPV realization and minimality. The results are derived by reducing the problem to the realization problem for linear switched systems. In this way, as a secondary contribution, we formally demonstrate the close relationship between LPV systems and linear switched systems. In addition we show that an input-output map has a realization by an affine LPV system if and only if it satisfies certain types of input-output equations.
Stability of input-output maps and their minimal realizations in state-linear, state-affine, LPV, and linear switched systems
Univ. Lille, CNRS, Centrale Lille（里尔大学、法国国家科学研究中心、中央理工学院里尔）；SPMS, NTU, Singapore（新加坡南洋理工大学精算与数学科学学院）；HUN-REN SZTAKI, Budapest, Hungary（匈牙利研究与创新网络萨塔基研究所）
Towards stochastic realization theory for Generalized Linear Switched Systems with inputs: decomposition into stochastic and deterministic components and existence and uniqueness of innovation form
Computing the projected reachable set of switched affine systems: an application to systems biology
Laboratory for Information and Decision Systems, MIT（麻省理工学院信息与决策系统实验室）；Department of Information Engineering, University of Padova（帕多瓦大学信息工程系）；Automatic Control Laboratory, ETH（苏黎世联邦理工学院自动控制实验室）
Practical Stabilization of Switched Affine Systems under Dwell Time: From Polytopic to p-Norm Lyapunov Functions
Centro Internacional Franco-Argentino de Cs. de la Información y de Sistemas (CIFASIS), UNR–CONICET（中法阿根廷信息与系统国际中心（CIFASIS），罗萨里奥国立大学-国家科学研究委员会）；Military Institute of Engineering（军事工程学院）
Direct data-driven interpolation and approximation of linear parameter-varying system trajectories
Eindhoven University of Technology（埃因霍温理工大学）；Catalan Institution for Research and Advanced Studies (ICREA)（加泰罗尼亚研究与高级学院）；HUN-REN Institute for Computer Science and Control（匈牙利研究与教育网络计算机与控制研究所）
