Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control最新文献_第5页

ProbReach: verified probabilistic delta-reachability for stochastic hybrid systems ProbReach:随机混合系统的可达性验证

Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control Pub Date : 2014-10-29 DOI: 10.1145/2728606.2728625

F. Shmarov, P. Zuliani

引用次数: 58

Towards personalized prostate cancer therapy using delta-reachability analysis 利用delta可及性分析实现个性化前列腺癌治疗

Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control Pub Date : 2014-10-27 DOI: 10.1145/2728606.2728634

Bing Liu, Soonho Kong, Sicun Gao, P. Zuliani, E. Clarke

引用次数: 18

Reach-avoid problems with time-varying dynamics, targets and constraints 触及-避免具有时变动力学、目标和约束的问题

Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control Pub Date : 2014-10-23 DOI: 10.1145/2728606.2728612

J. Fisac, Mo Chen, C. Tomlin, S. Sastry

{"title":"Reach-avoid problems with time-varying dynamics, targets and constraints","authors":"J. Fisac, Mo Chen, C. Tomlin, S. Sastry","doi":"10.1145/2728606.2728612","DOIUrl":"https://doi.org/10.1145/2728606.2728612","url":null,"abstract":"We consider a reach-avoid differential game, in which one of the players aims to steer the system into a target set without violating a set of state constraints, while the other player tries to prevent the first from succeeding; the system dynamics, target set, and state constraints may all be time-varying. The analysis of this problem plays an important role in collision avoidance, motion planning and aircraft control, among other applications. Previous methods for computing the guaranteed winning initial conditions and strategies for each player have either required augmenting the state vector to include time, or have been limited to problems with either no state constraints or entirely static targets, constraints and dynamics. To incorporate time-varying dynamics, targets and constraints without the need for state augmentation, we propose a modified Hamilton-Jacobi-Isaacs equation in the form of a double-obstacle variational inequality, and prove that the zero sublevel set of its viscosity solution characterizes the capture basin for the target under the state constraints. Through this formulation, our method can compute the capture basin and winning strategies for time-varying games at virtually no additional computational cost relative to the time-invariant case. We provide an implementation of this method based on well-known numerical schemes and show its convergence through a simple example; we include a second example in which our method substantially outperforms the state augmentation approach.","PeriodicalId":377654,"journal":{"name":"Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123572032","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}

引用次数: 200

Computing the Skorokhod distance between polygonal traces 计算多边形轨迹之间的Skorokhod距离

Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control Pub Date : 2014-10-22 DOI: 10.1145/2728606.2728618

R. Majumdar, Vinayak S. Prabhu

{"title":"Computing the Skorokhod distance between polygonal traces","authors":"R. Majumdar, Vinayak S. Prabhu","doi":"10.1145/2728606.2728618","DOIUrl":"https://doi.org/10.1145/2728606.2728618","url":null,"abstract":"The Skorokhod distance is a natural metric on traces of continuous and hybrid systems. It measures the best match between two traces, each mapping a time interval [0, T] to a metric space O, when continuous bijective timing distortions are allowed. Formally, it computes the infimum, over all timing distortions, of the maximum of two components: the first component quantifies the timing discrepancy of the timing distortion, and the second quantifies the mismatch (in the metric space O) of the values after the timing distortion. Skorokhod distances appear in various fundamental hybrid systems analysis concerns: from definitions of hybrid systems semantics and notions of equivalence, to practical problems such as checking the closeness of models or the quality of simulations. Despite its extensive use in semantics, the computation problem for the Skorokhod distance between two finite sampled-time hybrid traces remained open. We address the problem of computing the Skorokhod distance between two polygonal traces (these traces arise when sampled-time traces are completed by linear interpolation between sample points). We provide an algorithm to compute the exact Skorokhod distance when trace values are compared using the L1, L2, and L∞ norms in n dimensions. Our algorithm, based on a reduction to Fréchet distances, is fully polynomial-time, and incorporates novel polynomial-time procedures for a set of geometric primitives in IRn over the three norms.","PeriodicalId":377654,"journal":{"name":"Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132543842","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}

引用次数: 21

Temporal logic control for stochastic linear systems using abstraction refinement of probabilistic games 随机线性系统的时间逻辑控制

Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control Pub Date : 2014-10-20 DOI: 10.1145/2728606.2728608

María Svorenová, Jan Křetínský, Martin Chmelík, K. Chatterjee, I. Cerná, C. Belta

引用次数: 34