differential dynamics

Encoding Inductive Invariants as Barrier Certificates
We present the invariant barrier-certificate condition that witnesses unbounded-time safety of differential dynamical systems. The …
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Encoding Inductive Invariants as Barrier Certificates
Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming
A barrier certificate often serves as an inductive invariant that isolates an unsafe region from the reachable set of states, and hence …
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Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming
Unbounded-Time Safety Verification of Stochastic Differential Dynamics
In this paper, we propose a method for bounding the probability that a stochastic differential equation (SDE) system violates a safety …
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Unbounded-Time Safety Verification of Stochastic Differential Dynamics
Taming Delays in Dynamical Systems
Delayed coupling between state variables occurs regularly in technical dynamical systems, especially embedded control. As it …
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Taming Delays in Dynamical Systems
Verification and Synthesis of Time-Delayed Dynamical Systems
Conventional embedded systems have over the past two decades vividly evolved into an open, interconnected form that integrates …
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Verification and Synthesis of Time-Delayed Dynamical Systems
In Memory of Oded Maler: Automatic Reachability Analysis of Hybrid-State Automata
Hybrid automata are an elegant formal model seamlessly integrating differential equations representing continuous dynamics with …
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In Memory of Oded Maler: Automatic Reachability Analysis of Hybrid-State Automata
Reachability Analysis for Solvable Dynamical Systems
The reachability problem is one of the most important issues in the verification of hybrid systems. But unfortunately the reachable …
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Reachability Analysis for Solvable Dynamical Systems
Safe Over- and Under-Approximation of Reachable Sets for Delay Differential Equations
Delays in feedback control loop, as induced by networked distributed control schemes, may have detrimental effects on control …
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Safe Over- and Under-Approximation of Reachable Sets for Delay Differential Equations
MARS: A Toolchain for Modelling, Analysis and Verification of Hybrid Systems
We introduce a toolchain MARS for Modelling, Analyzing and veRifying hybrid Systems we developed in the past years. Using MARS, we …
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MARS: A Toolchain for Modelling, Analysis and Verification of Hybrid Systems
A Two-Way Path between Formal and Informal Design of Embedded Systems
It is well known that informal simulation-based design of embedded systems has a low initial cost and delivers early results; yet it …
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A Two-Way Path between Formal and Informal Design of Embedded Systems