{"title":"Limit systems and attractivity for time-varying systems with applications to nonholonomic systems","authors":"Ti-Chung Lee","doi":"10.1109/CDC.2003.1272870","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272870","url":null,"abstract":"The paper investigates the uniformly asymptotical stability (UAS) and the uniformly globally asymptotical stability for nonlinear time-varying systems consisting of asymptotically almost periodic (AAP) functions with an output-injection term. Several properties about AAP functions are given. The concept of reduced limit systems that describe the behavior of systems at infinity is introduced. By assuming an integrability condition of output function, the UAS of the origin can be guaranteed for uniformly Lyapunov-stable systems under a detectability condition relating to reduced limit systems. The proposed criterion can be viewed as a natural generalization of the so-called Krasovskii-LaSalle theorem to non-periodic systems whenever limit systems are used to study the asymptotic behavior of original system. The proposed criterion is also applied to study the tracking control problem of nonholonomic chained systems. From these examples, it can be seen that the proposed criterion is very suitable to analyze the stability of nonlinear time varying systems.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116075441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Robust stabilization of infinite-dimensional systems using discontinuous output feedback control","authors":"Y. Orlov, Yiming Lou, Paiiagiotis D. Christofides","doi":"10.1109/CDC.2003.1272667","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272667","url":null,"abstract":"In this work, a discontinuous output feedback control method based on sliding modes is developed for a class of linear infinite-dimensional systems with finite-dimensional unstable part using finite-dimensional sensing and actuation. The control method is applied to a distributed parameter system governed by the linearization around the spatially-uniform steady-state solution of the Kuramoto-Sivashinsky equation subject to periodic boundary conditions.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116220737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Filtering equations in infinite dimensional spaces with mixed type observation","authors":"P. Florchinger","doi":"10.1109/CDC.2003.1272680","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272680","url":null,"abstract":"The purpose of this paper is to compute the filtering equations when the state process, given as the solution of a stochastic differential equation on a Hilbert space, is observed through a finite dimensional process having continuous and discontinuous components.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"208 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116439514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Less conservative LMI conditions for ID-stability","authors":"Ricardo C. L. F. Oliveria, P. Peres","doi":"10.1109/CDC.2003.1272454","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272454","url":null,"abstract":"This paper is concerned with the problem of ID-stability of linear systems. New sufficient conditions formulated as linear matrix inequalities are presented for both continuous-time and discrete-time systems. These conditions encompass recently appeared results from the literature and provide less conservative ID-stability evaluations, as illustrated by means of numerical examples.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"144 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116440184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Adaptive critic neural network-based controller for nonlinear systems with input constraints","authors":"Pingan He, S. Jagannathan","doi":"10.1109/CDC.2003.1271914","DOIUrl":"https://doi.org/10.1109/CDC.2003.1271914","url":null,"abstract":"A novel adaptive critic-based multilayer neural network (NN) controller in discrete-time is designed to deliver a desired tracking performance for a class of nonlinear systems in the presence of magnitude constraints on the input. Reinforcement learning scheme in discrete-time is proposed for the NN controller, where the action generating NN learning is performed based on a certain performance measure, which is supplied from a critic. Using the Lyapunov approach and with a novel weight updates, the uniform ultimately boundedness (UUB) of the closed-loop tracking error and weight estimates are shown. The adaptive critic NN does not require an offline learning phase and the weights can be initialized at zero or randomly. It is shown via simulation that taking magnitude constraints on the input help reduce transients.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"334 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122291698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pricing and rate adaptation in a non-cooperative environment","authors":"Xinran Wu, P. Marbach","doi":"10.1109/CDC.2003.1272925","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272925","url":null,"abstract":"We consider a price-based rate control scheme that has been proposed by Kelly et al.. However, rather than assuming that users adapt their transmission rates by mandate, we study the situation where users choose transmission rates to maximize their net benefit at each time step. Extending a result obtained by Ganesh et al., we show that in the single link case the system again converges to the equilibrium bandwidth allocation of Kelly et al.. This result suggests that price-based rate control scheme proposed by Kelly et al. is also effective when users behave in a selfish manner.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"349 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122336462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Orthotopic and ellipsoidal simulations for a class of non-linear systems","authors":"G. Calafiore","doi":"10.1109/CDC.2003.1271805","DOIUrl":"https://doi.org/10.1109/CDC.2003.1271805","url":null,"abstract":"In this paper, we address the problem of propagating in time an orthotopic or ellipsoidal bounding set for the state of discrete-time quadratic systems. The sequence of bounding sets is called the set simulation of the system, and conveys useful information about the stability and other qualitative behaviors of the possible trajectories of the system. The bounding sets are computed recursively via numerically efficient algorithms.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122664301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A control theoretic approach for supporting quality of service in IEEE 802.11e WLANs with HCF","authors":"L. Grieco, G. Boggia, S. Mascolo, P. Camarda","doi":"10.1109/CDC.2003.1272838","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272838","url":null,"abstract":"This paper proposes a novel control theoretic approach for supporting bandwidth allocation in IEEE 802.11e wireless local area networks (WLANs) with HCF access method. It distributes the limited WLAN capacity by taking into account the desired queueing delay that audio/video applications would expect. The algorithm exploits a proportional controller and feedforward disturbance compensation. The dynamic behavior of the algorithm has been theoretically investigated. Moreover, computer simulations have been reported to show the effectiveness of the proposed approach.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122764187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Properties of the composite quadratic Lyapunov functions","authors":"T. Hu, Zongli Lin","doi":"10.1109/CDC.2003.1272462","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272462","url":null,"abstract":"A composite quadratic Lyapunov function introduced recently was shown to be very useful in the study of set invariance properties for linear systems with input and state constraints and for systems with a class of convex/concave nonlinearities. In this paper, more properties about this function will be revealed. In particular, we will study the continuity of the optimal parameter involved in this function. This continuity is crucial in the construction of a continuous feedback law which makes the convex hull of a group of ellipsoids invariant.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123013248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Generic bifurcations of control-affine systems in the plane and their properties","authors":"B. Jakubczyk, W. Respondek","doi":"10.1109/CDC.2003.1271653","DOIUrl":"https://doi.org/10.1109/CDC.2003.1271653","url":null,"abstract":"We define bifurcations of control-affine systems in the plane and classify all generic 1-parameter bifurcations with nonvanishing control field. More precisely, we classify topological bifurcations of invariants of usual feedback equivalence. There are six such bifurcations: two bifurcations of equilibrium sets, two bifurcations of critical sets and two bifurcations of pairs of invariants. We also analyze how time optimality properties and stabilizability of generic planar families change when the parameter varies.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"177 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114261273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}