SIAM Journal on Control and Optimization
Optimal Sampled-Data Control Systems
Optimal Sampled-Data Control Systems
A Converse Lyapunov Theorem for Linear Parameter-Varying and Linear Switching Systems
SIAM Journal on Control and Optimization
Stability and Stabilization of Continuous-Time Switched Linear Systems
SIAM Journal on Control and Optimization
Lyapunov conditions for input-to-state stability of impulsive systems
Automatica (Journal of IFAC)
Brief paper: Stability analysis of systems with aperiodic sample-and-hold devices
Automatica (Journal of IFAC)
Brief paper: A refined input delay approach to sampled-data control
Automatica (Journal of IFAC)
Controller synthesis for networked control systems
Automatica (Journal of IFAC)
Brief paper: A novel stability analysis of linear systems under asynchronous samplings
Automatica (Journal of IFAC)
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
Automatica (Journal of IFAC)
Hi-index | 22.14 |
Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive systems with periodic impulses are first provided in order to set up the main ideas. Extensions to the stability of aperiodic systems under minimum, maximum and ranged dwell-times are then derived. By exploiting further the particular structure of the stability conditions, the results are non-conservatively extended to quadratic stability analysis of linear uncertain impulsive systems. These stability criteria are, in turn, losslessly extended to stabilization using a particular, yet broad enough, class of state-feedback controllers, providing then a convex solution to the open problem of robust dwell-time stabilization of impulsive systems using hybrid stability criteria. Relying finally on the representability of sampled-data systems as impulsive systems, the problems of robust stability analysis and robust stabilization of periodic and aperiodic uncertain sampled-data systems are straightforwardly solved using the same ideas. Several examples are discussed in order to show the effectiveness and reduced complexity of the proposed approach.