{"title":"A local stability condition for optimal control problems","authors":"G. Sorger","doi":"10.1109/CDC.1989.70119","DOIUrl":"https://doi.org/10.1109/CDC.1989.70119","url":null,"abstract":"The modified Hamiltonian dynamical system associated with a discounted infinite-horizon optimal control problem is considered. It is shown that the sufficient conditions for global asymptotic stability developed by the author (J. Econ. Theory, vol.48, 1989) are also necessary for local asymptotic stability, if the stationary point under consideration is symmetric or the discount rate is zero.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124388012","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":"Synthesis techniques for discrete time neural network models","authors":"A. Michel, J. Farrell, H. Sun","doi":"10.1109/CDC.1989.70222","DOIUrl":"https://doi.org/10.1109/CDC.1989.70222","url":null,"abstract":"The authors establish a qualitative theory for synchronous, discrete-time, Hopfield-type neural networks. Their objectives are accomplished in two phases. They analyze the class of neural networks considered and use the results to develop a synthesis procedure for them. The analysis utilizes techniques from the theory of large-scale interconnected dynamical systems to derive tests for the asymptotic stability of an equilibrium of the neural network. Estimates are obtained for the rate at which the trajectories of the network will converge from an initial condition to a final state. The authors utilize the stability tests as constraints to develop a design algorithm for content-addressable memories. The algorithm guarantees that each desired memory will be stored as an equilibrium and will be asymptotically stable. The applicability of the results is demonstrated for a 13-neuron and for an 81-neuron network.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127755430","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":"Dynamical discontinuous feedback control of nonlinear systems","authors":"H. Sira-Ramírez, P. Lischinsky-Arenas","doi":"10.1109/CDC.1989.70227","DOIUrl":"https://doi.org/10.1109/CDC.1989.70227","url":null,"abstract":"An averaging technique is introduced for the accurate description of discontinuous feedback-interconnected nonlinear systems under a pulse-width-modulation (PWM) scheme for the switching element. The averaging process is based on an infinite-switching-frequency assumption on the feedback-enabling device. The proposed average model is shown to capture entirely the main qualitative and quantitative features of the actual finite-frequency-switched controlled system. The existence of a sliding motion in the augmented state space of the closed-loop pulsed-controlled system, which closely follows the average trajectories, makes the approximation scheme amenable to arbitrary improvement under increased switching frequency specifications for the actual controlled system. This entirely obviates the need for cumbersome approximation schemes based on traditional discrete-time considerations and the technical difficulties associated with the unbounded character of the PWM operator.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"408 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127786473","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":"Spectral radius interpolation and robust control","authors":"H. Bercovici, C. Foias, Allen Tannenbaum","doi":"10.1109/CDC.1989.70256","DOIUrl":"https://doi.org/10.1109/CDC.1989.70256","url":null,"abstract":"In a previous paper (1987) Tannenbaum discussed an interpolation problem closely related to the multivariate gain margins of J.C. Doyle (1984) and M.G. Safonov (1980). For this interpolation problem, it is necessary to interpolate on the disk with analytic matrices of bounded spectral radius instead of norm (as in classical H/sup infinity / theory). The mathematical solution to this problem is presented.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125484456","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":"Use of asymptotic observers having-high-gains in the state and parameter estimation","authors":"A. Tornambè","doi":"10.1109/CDC.1989.70462","DOIUrl":"https://doi.org/10.1109/CDC.1989.70462","url":null,"abstract":"The estimation of the unknown parameters of a nonlinear system is reduced to the estimation of its state variables by a state-space immersion. The Luenberger observer is used in the state estimation of the extended nonlinear system. The use of high gains in the cancellation of nonlinearities in order to simplify the observer design is studied. The high gain induces a time-scale separation between the nonlinear system and the observer, and therefore the singular perturbation theory can be used in the stability analysis of the error dynamics. In particular, it is shown that the error dynamics reaches stable equilibrium very fast, ensuring that the slow dynamics of the observer is just that of the given nonlinear system.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122279903","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":"Analysis and synthesis of asynchronous, asymptotically reliable, asymptotically controllable serial production lines","authors":"J.-t. Lim, S. Meerkov, F. Top","doi":"10.1109/CDC.1989.70074","DOIUrl":"https://doi.org/10.1109/CDC.1989.70074","url":null,"abstract":"Synchronous serial production lines are advantageous from the production rate point of view whereas asynchronous ones ensure a higher quality. Both, however, are usually run in a balanced mode where the cycle times of all machines are identical. It is shown that asynchronous lines being run in an appropriate unbalanced mode, could have a production rate close to that of the synchronous lines. Analysis and synthesis methods are presented for a certain class of asynchronous lines and synthesis methods are presented for a certain class of asynchronous lines consisting of the so-called asymptotically reliable, asymptotically controllable machines. The results are applied to a case study of a paint shop operation in a modern automobile assembly plant, and an 11% improvement in the average production rate, predicted theoretically and observed practically, is reported.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115776152","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 control of linear time-invariant plants using switching and nonlinear feedback","authors":"P. Khargonekar, K. Poolla","doi":"10.1109/CDC.1989.70560","DOIUrl":"https://doi.org/10.1109/CDC.1989.70560","url":null,"abstract":"A number of results are offered as evidence in support of the plant uncertainty principle. There are several important feedback synthesis problems for which the validity of this principle is yet to be ascertained. These include the robust performance problem. Only robust stabilization problems with purely parametric or purely unstructured uncertainty are treated. For the more interesting situation in which both types of modeling uncertainty are present, nonlinear time-varying (NLTV) controllers are, of course, at least as good as, and very likely better than, linear time-invariant controllers. The fundamental issue is then to quantify the superiority of NLTV controllers in terms of quantitative measures of the relative amounts of parametric and unstructured uncertainty.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115820426","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":"Global stabilization of partially linear composite systems","authors":"A. Saberi, P. Kokotovic, H. J. Sussmann","doi":"10.1109/CDC.1989.70367","DOIUrl":"https://doi.org/10.1109/CDC.1989.70367","url":null,"abstract":"It is shown that a cascade system consisting of a linearly controllable system and a nonlinearly asymptotically stable system is globally stabilizable by smooth dynamic state feedback if the linear subsystem is right-invertible and weakly minimum phase and the only linear variables entering the nonlinear subsystem are the output and the zero dynamics corresponding to this output. Both of these conditions are coordinate-free, and there is freedom of choice for the linear output variable. This result generalizes several earlier sufficient conditions for stabilizability. The weak minimum-phase condition for the linear subsystem cannot be relaxed unless a growth restriction is imposed on the nonlinear subsystem.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131390317","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":"An adaptive join-the-biased-queue rule for load sharing on distributed computer systems","authors":"F. Bonomi, P. Fleming, P. Steinberg","doi":"10.1109/CDC.1989.70638","DOIUrl":"https://doi.org/10.1109/CDC.1989.70638","url":null,"abstract":"An adaptive version of the join-the-biased-queue rule, originally proposed for the assignment of jobs to a simple parallel system of queues, is presented. The adaptive algorithm provides the foundation for an adaptive load sharing routine for a class of Unix multiprocessor systems. The authors utilize a combination of the available instantaneous information about the number of processes active on each processor and periodically collected average CPU run-queue-length information as an index of load to aid in assigning processes to the various processors for execution. Their algorithm aims at maintaining the system in an operating condition characterized by a balance in the normalized average CPU run-queue-lengths observed by the various processors, even when the offered workload has unknown and time-varying characteristics. The bias components in the join-the-biased-queue rule are periodically recalculated by using a simple stochastic approximation procedure. The load sharing strategy consistently deals with the constraints imposed by the nature of the considered systems and their workload, such as overheads and implementation costs, nonhomogeneities, measurement errors, and nonmigration. Extensive simulation studies of the algorithm behavior, together with laboratory measurements on the algorithm implementation for the AT&T 3B4000 computer system, confirm the superior performance, stability, and robustness of the algorithm. The approach can be applied in the solution of load sharing or routing problems in more general contexts than the one considered.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132352162","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":"Extended optimality properties of the linear quadratic regulator and stationary Kalman filter","authors":"D. Wilson","doi":"10.1109/CDC.1989.70328","DOIUrl":"https://doi.org/10.1109/CDC.1989.70328","url":null,"abstract":"Results are presented showing that the constant-gain state-feedback solution to the infinite-time linear quadratic regulator problem is optimal not only for arbitrary initial conditions or white noise disturbances, but also for worst case L/sup 1/ disturbances. Similarly, in the stationary Kalman filter, the white disturbance and measurement noise can be replaced by unknown bounded energy signals, and optimality still holds if the performance criterion is a time-domain L/sup infinity / norm of the state estimation errors in the presence of worst case energy signals.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130071567","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}