2011/03/03 by Susmit Jha, Jha, Susmit, Sanjit A. Seshia +3
Computer Science · #FOS: Electrical engineering #FOS: Mathematics #Formal Methods in Verification #Machine Learning and Algorithms #Optimization and Control (math.OC) #Software Testing and Debugging Techniques #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1103.0800
openalex publication_date 2011/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a multi-modal dynamical system, optimal switching logic synthesis involves generating the conditions for switching between the system modes such that the resulting hybrid system satisfies a quantitative specification. We formalize and solve the problem of optimal switching logic synthesis for quantitative specifications over long run behavior. Each trajectory of the system, and each state of the system, is associated with a cost. Our goal is to synthesize a system that minimizes this cost from each initial state. Our paper generalizes earlier work on synthesis for safety as safety specifications can be encoded as quantitative specifications. We present an approach for specifying quantitative measures using reward and penalty functions, and illustrate its effectiveness using several examples. We present an automated technique to synthesize switching logic for such quantitative measures. Our algorithm is based on reducing the synthesis problem to an unconstrained numerical optimization problem which can be solved by any off-the-shelf numerical optimization engines. We demonstrate the effectiveness of this approach with experimental results.