@inproceedings(DBLP:conf/nips/AbateEG22, author = {Alessandro Abate and Alec Edwards and Mirco Giacobbe}, year = {2022}, title = {Neural Abstractions}, booktitle = {NeurIPS}, ) @article(Abate2008probabilisticSystems, author = {Alessandro Abate and Maria Prandini and John Lygeros and Shankar Sastry}, year = {2008}, title = {Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems}, journal = {Automatica}, volume = {44}, number = {11}, pages = {2724 -- 2734}, doi = {10.1016/j.automatica.2008.03.027}, ) @article(Alur2000discretesystems, author = {Rajeev Alur and Thomas A. Henzinger and Gerardo Lafferriere and George J. Pappas}, year = {2000}, title = {Discrete abstractions of hybrid systems}, journal = {Proc. {IEEE}}, volume = {88}, number = {7}, pages = {971--984}, doi = {10.1109/5.871304}, ) @inproceedings(DBLP:conf/eucc/AmesCENST19, author = {Aaron D. Ames and Samuel Coogan and Magnus Egerstedt and Gennaro Notomista and Koushil Sreenath and Paulo Tabuada}, year = {2019}, title = {Control Barrier Functions: Theory and Applications}, booktitle = {{ECC}}, publisher = {{IEEE}}, pages = {3420--3431}, doi = {10.23919/ECC.2019.8796030}, ) @inproceedings(Badings2022AAAI, author = {Thom S. Badings and Alessandro Abate and Nils Jansen and David Parker and Hasan A. Poonawala and Mari{\"{e}}lle Stoelinga}, year = {2022}, title = {Sampling-Based Robust Control of Autonomous Systems with Non-Gaussian Noise}, booktitle = {{AAAI}}, publisher = {{AAAI} Press}, pages = {9669--9678}, doi = {10.1609/aaai.v36i9.21201}, ) @article(Badings2021FilterUncertainty, author = {Thom S. Badings and Nils Jansen and Hasan A. Poonawala and Mari{\"{e}}lle Stoelinga}, year = {2023}, title = {Correct-by-construction reach-avoid control of partially observable linear stochastic systems}, journal = {CoRR}, volume = {abs/2103.02398}, doi = {10.48550/arXiv.2103.02398}, ) @inproceedings(Badings2023AAAI, author = {Thom S. Badings and Licio Romao and Alessandro Abate and Nils Jansen}, year = {2023}, title = {Probabilities Are Not Enough: Formal Controller Synthesis for Stochastic Dynamical Models with Epistemic Uncertainty}, booktitle = {{AAAI}}, publisher = {{AAAI} Press}, pages = {14701--14710}, doi = {10.1609/aaai.v37i12.26718}, ) @article(Badings2022JAIR, author = {Thom S. Badings and Licio Romao and Alessandro Abate and David Parker and Hasan A. Poonawala and Mari{\"{e}}lle Stoelinga and Nils Jansen}, year = {2022}, title = {Robust Control for Dynamical Systems with Non-Gaussian Noise via Formal Abstractions}, journal = {J. Artif. Intell. Res.}, doi = {10.1613/jair.1.14253}, ) @book(DBLP:books/daglib/BaierKatoen2008, author = {Christel Baier and Joost{-}Pieter Katoen}, year = {2008}, title = {Principles of model checking}, publisher = {{MIT} Press}, ) @inproceedings(DBLP:conf/cdc/BansalCHT17, author = {Somil Bansal and Mo Chen and Sylvia L. Herbert and Claire J. Tomlin}, year = {2017}, title = {Hamilton-Jacobi reachability: {A} brief overview and recent advances}, booktitle = {{CDC}}, publisher = {{IEEE}}, pages = {2242--2253}, doi = {10.1109/CDC.2017.8263977}, ) @book(belta2017formal, author = {Calin Belta and Boyan Yordanov and Aydin Gol, Ebru}, year = {2017}, title = {Formal {{Methods}} for {{Discrete-Time Dynamical Systems}}}, publisher = {{Springer International Publishing}}, doi = {10.1007/978-3-319-50763-7}, ) @article(DBLP:journals/trob/BlackmoreOBW10, author = {Lars Blackmore and Masahiro Ono and Askar Bektassov and Brian C. Williams}, year = {2010}, title = {A Probabilistic Particle-Control Approximation of Chance-Constrained Stochastic Predictive Control}, journal = {{IEEE} Trans. Robotics}, volume = {26}, number = {3}, pages = {502--517}, doi = {10.1109/TRO.2010.2044948}, ) @article(DBLP:journals/arc/CampiCG21, author = {Marco C. Campi and Algo Car{\`{e}} and Simone Garatti}, year = {2021}, title = {The scenario approach: {A} tool at the service of data-driven decision making}, journal = {Annu. Rev. Control.}, volume = {52}, pages = {1--17}, doi = {10.1016/j.arcontrol.2021.10.004}, ) @article(DBLP:journals/siamjo/CampiG08, author = {Marco C. Campi and Simone Garatti}, year = {2008}, title = {The Exact Feasibility of Randomized Solutions of Uncertain Convex Programs}, journal = {{SIAM} J. Optim.}, volume = {19}, number = {3}, pages = {1211--1230}, doi = {10.1137/07069821X}, ) @inproceedings(DBLP:conf/tacas/CauchiA19, author = {Nathalie Cauchi and Alessandro Abate}, year = {2019}, title = {StocHy: Automated Verification and Synthesis of Stochastic Processes}, booktitle = {{TACAS} {(2)}}, series = {Lecture Notes in Computer Science}, volume = {11428}, publisher = {Springer}, pages = {247--264}, doi = {10.1007/978-3-030-17465-1\_14}, ) @inproceedings(DBLP:conf/hybrid/CauchiLLAKC19, author = {Nathalie Cauchi and Luca Laurenti and Morteza Lahijanian and Alessandro Abate and Marta Kwiatkowska and Luca Cardelli}, year = {2019}, title = {Efficiency through uncertainty: scalable formal synthesis for stochastic hybrid systems}, booktitle = {{HSCC}}, publisher = {{ACM}}, pages = {240--251}, doi = {10.1145/3302504.3311805}, ) @inproceedings(DBLP:conf/cav/ChenAS13, author = {Xin Chen and Erika {\'{A}}brah{\'{a}}m and Sriram Sankaranarayanan}, year = {2013}, title = {Flow*: An Analyzer for Non-linear Hybrid Systems}, booktitle = {{CAV}}, series = {Lecture Notes in Computer Science}, volume = {8044}, publisher = {Springer}, pages = {258--263}, doi = {10.1007/978-3-642-39799-818}, ) @inproceedings(DBLP:conf/adhs/DingLB12, author = {Xu Chu Ding and Mircea Lazar and Calin Belta}, year = {2012}, title = {Formal Abstraction of Linear Systems via Polyhedral Lyapunov Functions}, booktitle = {{ADHS}}, series = {{IFAC} Proceedings Volumes}, volume = {45}, publisher = {Elsevier}, pages = {88--93}, doi = {10.3182/20120606-3-NL-3011.00096}, ) @book(docostaDiscreteTimeMarkovJump2005, author = {Do Costa, Oswaldo Luiz Valle and Ricardo Paulino Marques and Marcelo Dutra Fragoso}, year = {2005}, title = {Discrete-{{Time Markov Jump Linear Systems}}}, publisher = {{Springer}}, doi = {10.1007/b138575}, ) @article(DBLP:journals/tac/FanQMNMV22, author = {Chuchu Fan and Zengyi Qin and Umang Mathur and Qiang Ning and Sayan Mitra and Mahesh Viswanathan}, year = {2022}, title = {Controller Synthesis for Linear System With Reach-Avoid Specifications}, journal = {{IEEE} Trans. Autom. Control.}, volume = {67}, number = {4}, pages = {1713--1727}, doi = {10.1109/TAC.2021.3069723}, ) @inproceedings(DBLP:conf/hybrid/FisacCTS15, author = {Jaime F. Fisac and Mo Chen and Claire J. Tomlin and S. Shankar Sastry}, year = {2015}, title = {Reach-avoid problems with time-varying dynamics, targets and constraints}, booktitle = {{HSCC}}, publisher = {{ACM}}, pages = {11--20}, doi = {10.1145/2728606.2728612}, ) @article(DBLP:journals/ai/GivanLD00, author = {Robert Givan and Sonia M. Leach and Thomas L. Dean}, year = {2000}, title = {Bounded-parameter Markov decision processes}, journal = {Artif. Intell.}, volume = {122}, number = {1-2}, pages = {71--109}, doi = {10.1016/S0004-3702(00)00047-3}, ) @inproceedings(DBLP:conf/adhs/HaesaertNVTAAM18, author = {Sofie Haesaert and Petter Nilsson and Cristian Ioan Vasile and Rohan Thakker and Agha{-}mohammadi, Ali{-}akbar and Aaron D. Ames and Richard M. Murray}, year = {2018}, title = {Temporal Logic Control of POMDPs via Label-based Stochastic Simulation Relations}, booktitle = {{ADHS}}, series = {IFAC-PapersOnLine}, volume = {51}, publisher = {Elsevier}, pages = {271--276}, doi = {10.1016/j.ifacol.2018.08.046}, ) @inproceedings(DBLP:conf/nfm/HahnHZ11, author = {Ernst Moritz Hahn and Tingting Han and Lijun Zhang}, year = {2011}, title = {Synthesis for {PCTL} in Parametric Markov Decision Processes}, booktitle = {{NASA} Formal Methods}, series = {Lecture Notes in Computer Science}, volume = {6617}, publisher = {Springer}, pages = {146--161}, doi = {10.1007/978-3-642-20398-5\_12}, ) @article(hanssonLogicReasoningTime1994, author = {Hans Hansson and Bengt Jonsson}, year = {1994}, title = {A Logic for Reasoning about Time and Reliability}, journal = {Formal Aspects Comput.}, volume = {6}, number = {5}, pages = {512--535}, doi = {10.1007/BF01211866}, ) @book(kumar2015stochastic, author = {Panqanamala Ramana Kumar and Pravin Varaiya}, year = {2015}, title = {Stochastic systems: Estimation, identification, and adaptive control}, publisher = {SIAM}, doi = {10.1137/1.9781611974263}, ) @inproceedings(DBLP:conf/cav/KwiatkowskaNP11, author = {Marta Z. Kwiatkowska and Gethin Norman and David Parker}, year = {2011}, title = {{PRISM} 4.0: Verification of Probabilistic Real-Time Systems}, booktitle = {{CAV}}, series = {Lecture Notes in Computer Science}, volume = {6806}, publisher = {Springer}, pages = {585--591}, doi = {10.1007/978-3-642-22110-147}, ) @article(DBLP:journals/tac/LahijanianAB15, author = {Morteza Lahijanian and Sean B. Andersson and Calin Belta}, year = {2015}, title = {Formal Verification and Synthesis for Discrete-Time Stochastic Systems}, journal = {{IEEE} Trans. Autom. Control.}, volume = {60}, number = {8}, pages = {2031--2045}, doi = {10.1109/TAC.2015.2398883}, ) @article(LavaeiSAZ21:stochhybrid, author = {Abolfazl Lavaei and Sadegh Soudjani and Alessandro Abate and Majid Zamani}, year = {2022}, title = {Automated verification and synthesis of stochastic hybrid systems: A survey}, journal = {Automatica}, volume = {146}, pages = {110617}, doi = {10.1016/j.automatica.2022.110617}, ) @article(DBLP:journals/tiv/PadenCYYF16, author = {Brian Paden and Michal C{\'{a}}p and Sze Zheng Yong and Dmitry S. Yershov and Emilio Frazzoli}, year = {2016}, title = {A Survey of Motion Planning and Control Techniques for Self-Driving Urban Vehicles}, journal = {{IEEE} Trans. Intell. Veh.}, volume = {1}, number = {1}, pages = {33--55}, doi = {10.1109/TIV.2016.2578706}, ) @article(DBLP:journals/spm/ParkSQ13, author = {Sangwoo Park and Erchin Serpedin and Khalid A. Qaraqe}, year = {2013}, title = {Gaussian Assumption: The Least Favorable but the Most Useful [Lecture Notes]}, journal = {{IEEE} Signal Process. Mag.}, volume = {30}, number = {3}, pages = {183--186}, doi = {10.1109/MSP.2013.2238691}, ) @inproceedings(platzerLogicsDynamicalSystems2012, author = {Andr{\'{e}} Platzer}, year = {2012}, title = {Logics of Dynamical Systems}, booktitle = {{LICS}}, publisher = {{IEEE} Computer Society}, pages = {13--24}, doi = {10.1109/LICS.2012.13}, ) @inproceedings(DBLP:conf/cav/PuggelliLSS13, author = {Alberto Puggelli and Wenchao Li and Sangiovanni{-}Vincentelli, Alberto L. and Sanjit A. Seshia}, year = {2013}, title = {Polynomial-Time Verification of {PCTL} Properties of MDPs with Convex Uncertainties}, booktitle = {{CAV}}, series = {Lecture Notes in Computer Science}, volume = {8044}, publisher = {Springer}, pages = {527--542}, doi = {10.1007/978-3-642-39799-835}, ) @book(DBLP:books/wi/Puterman94, author = {Martin L. Puterman}, year = {1994}, title = {Markov Decision Processes: Discrete Stochastic Dynamic Programming}, series = {Wiley Series in Probability and Statistics}, publisher = {Wiley}, doi = {10.1002/9780470316887}, ) @article(DBLP:journals/corr/abs-2212-00679, author = {Luke Rickard and Thom S. Badings and Licio Romao and Nils Jansen and Alessandro Abate}, year = {2022}, title = {Formal Controller Synthesis for Markov Jump Linear Systems with Uncertain Dynamics}, journal = {CoRR}, volume = {abs/2212.00679}, doi = {10.48550/arXiv.2212.00679}, ) @article(romao2022exact, author = {Licio Romao and Antonis Papachristodoulou and Kostas Margellos}, year = {2023}, title = {On the Exact Feasibility of Convex Scenario Programs With Discarded Constraints}, journal = {{IEEE} Trans. Autom. Control.}, volume = {68}, number = {4}, pages = {1986--2001}, doi = {10.1109/TAC.2022.3165320}, ) @inproceedings(DBLP:conf/hybrid/ShmarovZ15, author = {Fedor Shmarov and Paolo Zuliani}, year = {2015}, title = {ProbReach: verified probabilistic delta-reachability for stochastic hybrid systems}, booktitle = {{HSCC}}, publisher = {{ACM}}, pages = {134--139}, doi = {10.1145/2728606.2728625}, ) @article(DBLP:journals/siamads/SoudjaniA13, author = {Sadegh Esmaeil Zadeh Soudjani and Alessandro Abate}, year = {2013}, title = {Adaptive and Sequential Gridding Procedures for the Abstraction and Verification of Stochastic Processes}, journal = {{SIAM} J. Appl. Dyn. Syst.}, volume = {12}, number = {2}, pages = {921--956}, doi = {10.1137/120871456}, ) @inproceedings(DBLP:conf/cdc/WolffTM12, author = {Eric M. Wolff and Ufuk Topcu and Richard M. Murray}, year = {2012}, title = {Robust control of uncertain Markov Decision Processes with temporal logic specifications}, booktitle = {{CDC}}, publisher = {{IEEE}}, pages = {3372--3379}, doi = {10.1109/CDC.2012.6426174}, )