It is well known [2, 3] that the nth order Lyapunov equation, AP+PA'=-Q, can be expanded to a n(n+1)/2 order linear vector equation and then solved using conventional linear equation methods. The purpose of this short paper is to present recent work on the sparceness of the resulting equation and the computational advantage of that sparceness, for large n.
{"title":"Sparce matrix solution of the Lyapunov equation","authors":"J. Pivnichny","doi":"10.1109/CDC.1975.270713","DOIUrl":"https://doi.org/10.1109/CDC.1975.270713","url":null,"abstract":"It is well known [2, 3] that the nth order Lyapunov equation, AP+PA'=-Q, can be expanded to a n(n+1)/2 order linear vector equation and then solved using conventional linear equation methods. The purpose of this short paper is to present recent work on the sparceness of the resulting equation and the computational advantage of that sparceness, for large n.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125778956","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}
A completely general algebraic method for converting a set of linear differential equations that describe a multivariable system to the standard state equation model is considered. The entire procedure is developed in a straight forward manner so that each aspect of the algorithm is simplistic in nature as well as efficient when implemented on a digital computer. An example is presented to illustrate all phases of the method. A PL/I program has been developed by the authors for use on the IBM 360 computer.
{"title":"On state equation descriptions of linear differential systems","authors":"L. Godbout, D. Jordan","doi":"10.1109/CDC.1975.270620","DOIUrl":"https://doi.org/10.1109/CDC.1975.270620","url":null,"abstract":"A completely general algebraic method for converting a set of linear differential equations that describe a multivariable system to the standard state equation model is considered. The entire procedure is developed in a straight forward manner so that each aspect of the algorithm is simplistic in nature as well as efficient when implemented on a digital computer. An example is presented to illustrate all phases of the method. A PL/I program has been developed by the authors for use on the IBM 360 computer.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"13 35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124690584","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}
The growth path of a mixed, open urban economy is considered which is linked to the national economy through labor flows in the direction of higher per capita consumption. In its private sector, profit maximizing firms produce output, hiring individually labor but using jointly infrastructure with public good characteristics. The public sector divides via taxation output into consumption and infrastructural investments so as to maximize the current value of future per capita felicity. Urban growth paths are derived and public sector policies regarding labor migration and provision of infrastructure are analyzed.
{"title":"Economic growth in a mixed urban economy: Infrastructure investment and labor migration","authors":"D. Hanson, B. Rabenau","doi":"10.1109/CDC.1975.270599","DOIUrl":"https://doi.org/10.1109/CDC.1975.270599","url":null,"abstract":"The growth path of a mixed, open urban economy is considered which is linked to the national economy through labor flows in the direction of higher per capita consumption. In its private sector, profit maximizing firms produce output, hiring individually labor but using jointly infrastructure with public good characteristics. The public sector divides via taxation output into consumption and infrastructural investments so as to maximize the current value of future per capita felicity. Urban growth paths are derived and public sector policies regarding labor migration and provision of infrastructure are analyzed.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"237 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129071828","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}
A feasible method for integrating technological data into a long-run macroeconomic model is proposed. It is argued that this technique reduces the dependence of large-scale decision models on historical data and provides a mechanism for inducing technological change, environmental controls, etc., into a decision model as endogenous variables through a surrogate sample data base.
{"title":"Introducing technological data into a long-run macroeconomic model: A feasible method","authors":"F. Alessio","doi":"10.1109/CDC.1975.270664","DOIUrl":"https://doi.org/10.1109/CDC.1975.270664","url":null,"abstract":"A feasible method for integrating technological data into a long-run macroeconomic model is proposed. It is argued that this technique reduces the dependence of large-scale decision models on historical data and provides a mechanism for inducing technological change, environmental controls, etc., into a decision model as endogenous variables through a surrogate sample data base.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121158515","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}
Against a background of an I.T.C. proposal for an "Agricultural Real Time Imaging Satellite System", (ARTISS), some ideas about matching Man and Machine effort are given. Typical features of satellite MSS are reviewed. Many features other then pixel-wise Multi Spectral signatures should also be used in a classification process. Man is well equiped to use those extra features, but needs Machine help for efficient working. The aim of the ARTISS proposal is to provide developing countries with a dynamic survey system at reasonable cost. The author's ideas about the equipment for a minimum local groundstation are exposed. Implemention should use "intermediate technology", compatible with more advanced extensions in hard-and software.
{"title":"Man and machine, a matching problem","authors":"N. Mulder","doi":"10.1109/CDC.1975.270690","DOIUrl":"https://doi.org/10.1109/CDC.1975.270690","url":null,"abstract":"Against a background of an I.T.C. proposal for an \"Agricultural Real Time Imaging Satellite System\", (ARTISS), some ideas about matching Man and Machine effort are given. Typical features of satellite MSS are reviewed. Many features other then pixel-wise Multi Spectral signatures should also be used in a classification process. Man is well equiped to use those extra features, but needs Machine help for efficient working. The aim of the ARTISS proposal is to provide developing countries with a dynamic survey system at reasonable cost. The author's ideas about the equipment for a minimum local groundstation are exposed. Implemention should use \"intermediate technology\", compatible with more advanced extensions in hard-and software.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114188833","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}
The detection of accidents and other capacity reducing incidents, e.g., occurrences of disabled vehicles in traveled lanes, on urban freeways is an important aspect of freeway traffic management. This function has been automated in several existing freeway surveillance and control systems in the form of incident detection algorithms. Multiple feature incident detection algorithms use two or more functions of traffic data and associated thresholds to signal the occurrence of incidents. These algorithms are constructed to distinguish patterns of traffic conditions distinctive of incidents. In this paper, a general approach to the calibration and evaluation of multiple-feature algorithms which are structured as decision trees is described. This methodology is applied to the California algorithm.
{"title":"Freeway incident detection based upon pattern classification","authors":"H. Payne","doi":"10.1109/CDC.1975.270592","DOIUrl":"https://doi.org/10.1109/CDC.1975.270592","url":null,"abstract":"The detection of accidents and other capacity reducing incidents, e.g., occurrences of disabled vehicles in traveled lanes, on urban freeways is an important aspect of freeway traffic management. This function has been automated in several existing freeway surveillance and control systems in the form of incident detection algorithms. Multiple feature incident detection algorithms use two or more functions of traffic data and associated thresholds to signal the occurrence of incidents. These algorithms are constructed to distinguish patterns of traffic conditions distinctive of incidents. In this paper, a general approach to the calibration and evaluation of multiple-feature algorithms which are structured as decision trees is described. This methodology is applied to the California algorithm.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"48 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130995736","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}
This paper develops maximum likelihood (ML) estimation procedures for the parameters of a generalized Gamma probability density function. In addition, the likelihood ratio conditioned on the ML estimates of the process parameters is given. A special case arising in the analysis of carbon monoxide pollution data is discussed in detail and the performance of the binary hypothesis test functioning as a pollution forecasting algorithm is reported.
{"title":"Application of parameter estimation and hypothesis test for a generalized gamma distribution","authors":"D. Nicholson","doi":"10.1109/CDC.1975.270700","DOIUrl":"https://doi.org/10.1109/CDC.1975.270700","url":null,"abstract":"This paper develops maximum likelihood (ML) estimation procedures for the parameters of a generalized Gamma probability density function. In addition, the likelihood ratio conditioned on the ML estimates of the process parameters is given. A special case arising in the analysis of carbon monoxide pollution data is discussed in detail and the performance of the binary hypothesis test functioning as a pollution forecasting algorithm is reported.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127354025","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}
We present new necessary conditions for a relaxed minimum in optimal control problems defined by certain classes of ordinary differential equations. These necessary conditions may be helpful in computing singular extremal arcs, in determining when these arcs are "strictly relaxed", and in defining regions of the state space that contain nonsingular extremal arcs only.
{"title":"Singular regimes in certain classes of relaxed control problems","authors":"T. Carter","doi":"10.1109/CDC.1975.270642","DOIUrl":"https://doi.org/10.1109/CDC.1975.270642","url":null,"abstract":"We present new necessary conditions for a relaxed minimum in optimal control problems defined by certain classes of ordinary differential equations. These necessary conditions may be helpful in computing singular extremal arcs, in determining when these arcs are \"strictly relaxed\", and in defining regions of the state space that contain nonsingular extremal arcs only.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127521536","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}
A model of the human arm, emphasizing the neuromuscular mechanism of feedback and control, has been constructed. Reconstruction efforts focused on two parallel aspects of the model: (1) direct control, (2) sensory feedback. The control scheme included a micro computer aided arm prosthesis using myoelectric pattern recognition as the control concept. The feedback elements centered around generation of two perceptual parameters which communicated to the amputee the state of the arm, thereby decreasing his control decision load. The parameters were electrical pulse frequency and spatial location. The developed technology was integrated into a three degree of freedom, self contained, externally energized arm which included elbow flexion/extension, wrist rotation, and hand grasp. A prototype system has been implemented and tested in the laboratory on a mini computer, and specification for a miniature control package has been established.
{"title":"A micro computer based arm prosthesis with two channel sensory feedback","authors":"A. Freedy, M. Solomonow, J. Lyman","doi":"10.1109/CDC.1975.270655","DOIUrl":"https://doi.org/10.1109/CDC.1975.270655","url":null,"abstract":"A model of the human arm, emphasizing the neuromuscular mechanism of feedback and control, has been constructed. Reconstruction efforts focused on two parallel aspects of the model: (1) direct control, (2) sensory feedback. The control scheme included a micro computer aided arm prosthesis using myoelectric pattern recognition as the control concept. The feedback elements centered around generation of two perceptual parameters which communicated to the amputee the state of the arm, thereby decreasing his control decision load. The parameters were electrical pulse frequency and spatial location. The developed technology was integrated into a three degree of freedom, self contained, externally energized arm which included elbow flexion/extension, wrist rotation, and hand grasp. A prototype system has been implemented and tested in the laboratory on a mini computer, and specification for a miniature control package has been established.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126525231","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":"Control engineering at UT-Permian Basin: An alternative in engineering education","authors":"C. Sprague, C. Fry, George Quentin","doi":"10.1109/CDC.1975.270663","DOIUrl":"https://doi.org/10.1109/CDC.1975.270663","url":null,"abstract":"","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126711403","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}