ModelGuard: Runtime Validation of Lipschitz-continuous Models

ModelPlex: Verified Runtime Validation of Verified Cyber-Physical System Models

Formal verification and validation play a crucial role in making cyber-physical systems (CPS) safe. Formal methods make strong guarantees about the system behavior if accurate models of the system can be obtained, including models of the controller and of the physical dynamics. In CPS, models are essential; but any model we could possibly build necessarily deviates from the real world. If the r...

Runtime Optimization of Continuous Queries

In data stream processing systems, Quality of Service (or QoS) requirements, as specified by users, are extremely important. Unlike in a database management system (DBMS), a query in a data stream management system (DSMS) cannot be optimized once and executed. It has been shown that different scheduling strategies are useful in trading tuple latency requirements with memory and throughput requi...

Continuous Interpolation of Solutions of Lipschitz Inclusions

Definable Smoothing of Lipschitz Continuous Functions

Let M be an o-minimal structure over the real closed field R. We prove the definable smoothing of definable Lipschitz continuous functions. In the case of Lipschitz functions of one variable we are even able to preserve the Lipschitz constant.

An Observer for Controlled Lipschitz Continuous Systems

In this paper we present an observer for controlled nonlinear systems that are locally Lipschitz continuous in both the state and control variables. This observer is based on a recently introduced model of observer for autonomous Lypschitz continuous systems, and can be designed to realize an arbitrary, finite accuracy when both the state space and control variables evolve in bounded regions. K...