FTS Analysis of Continuous-Time Linear Systems

This chapter deals with the finite-time analysis and design problems for CT-LTV systems. Necessary and sufficient conditions for FTS are provided. One condition is based on the state transition matrix and is of poor usefulness in practice; the other conditions involve either DLMIs or DLEs. It is shown that the DLE-based condition is more efficient from the computational point of view; however, DLMIs are useful in the context of the design problem. Indeed, by the latter approach, we solve both the state and output feedback finite-time stabilization problems. The model of the car suspension system is used as a test case to show the effectiveness of the proposed techniques.