Control and Filtering Problems for Linear Time-Varying Systems Based on Ellipsoidal Reachable Sets
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.567
Abstract: Abstract The paper is devoted to reachable sets of linear time-varying continuous systems under uncertain initial states and disturbances with a bounded uncertainty measure. The uncertainty measure is the sum of a quadratic form of… read more here.
Keywords: system; time; control filtering; linear time ... See more keywords
Reachable sets bounding for switched systems with time-varying delay and bounded disturbances
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DOI: 10.1080/00207721.2016.1186248
Abstract: ABSTRACT In this paper, we address the problem of finding outer bound of forward reachable sets and inter-bound of backward reachable sets of switched systems with an interval time-varying delay and bounded disturbances. By constructing… read more here.
Keywords: time varying; switched systems; delay bounded; varying delay ... See more keywords
Approximate Reachability for Koopman Systems Using Mixed Monotonicity
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DOI: 10.1109/access.2022.3194851
Abstract: We present a data-driven method for computing reachable sets for unknown nonlinear dynamical systems using a Koopman operator based approach. We find mixed-monotone decompositions for a class of Koopman lifted dynamics. The mixed-monotone system can… read more here.
Keywords: koopman; approximate reachability; unknown nonlinear; reachability koopman ... See more keywords
Zonotopic Under-Approximations of Input Reachable Sets for Controllable Linear Systems
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DOI: 10.1109/lcsys.2023.3260162
Abstract: Recent years have seen a surging interest in developing under-approximations of reachable sets due to their potential applications in control synthesis and verification. In this letter, we propose a method that yields under-approximations of finite-time… read more here.
Keywords: time; zonotopic approximations; input reachable; method ... See more keywords
Inner-Approximating Reachable Sets for Polynomial Systems With Time-Varying Uncertainties
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DOI: 10.1109/tac.2019.2923049
Abstract: In this paper, we propose a convex programming based method to address a long-standing problem of inner-approximating backward reachable sets of state-constrained polynomial systems subject to time-varying uncertainties. The backward reachable set is a set… read more here.
Keywords: time; backward reachable; inner approximating; polynomial systems ... See more keywords