2016/03/05 by Corentin Briat, Briat, Corentin · 1 citation
Computer Science · Engineering · #Classical Analysis and ODEs (math.CA) #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Neural Networks Stability and Synchronization #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1603.01751
openalex publication_date 2016/03/05 · openalex created_date 2022/08/09 · openalex updated_date 2026/07/28
Impulsive systems are a very flexible class of systems that can be used to\nrepresent switched and sampled-data systems. We propose to extend here the\npreviously obtained results on deterministic impulsive systems to the\nstochastic setting. The concepts of mean-square stability and dwell-times are\nutilized in order to formulate relevant stability conditions for such systems.\nThese conditions are formulated as convex clock-dependent linear matrix\ninequality conditions that are applicable to robust analysis and control\ndesign, and are verifiable using discretization or sum of squares techniques.\nStability conditions under various dwell-time conditions are obtained and\nnon-conservatively turned into state-feedback stabilization conditions. The\nresults are finally applied to the analysis and control of stochastic\nsampled-data systems. Several comparative examples demonstrate the accuracy and\nthe tractability of the approach.\n