Part I: Linear Systems -- Finite-time Stability Analysis of Continuous-Time Linear Systems -- Controller Design for the Finite-Time Stabilization of Continuous-Time Linear Systems -- Robustness Issues -- Finite-time Stability of Discrete-Time Linear Systems -- Finite-time Stability Analysis via PQLFs -- Part II: Hybrid Systems -- Finite-time Stability of Impulsive Dynamical Linear Systems -- Controller Design for the Finite-time Stability of Impulsive Dynamical Linear Systems -- Robustness Issues for Impulsive Dynamical Linear Systems
Summary
Finite-time stability (FTS) is a more practical concept than classical Lyapunov stability, useful for checking whether the state trajectories of a system remain within pre-specified bounds over a finite time interval. In a linear systems framework, FTS problems can be cast as convex optimization problems and solved by the use of effective off-the-shelf computational tools such as LMI solvers. Finite-time Stability and Control exploits this benefit to present the practical applications of FTS and finite-time control-theoretical results to various engineering fields
