Data-Driven Quadratic Stabilization of Continuous LTI Systems

Stabilization of second-order LTI switched systems

This paper studies and solves the problem of asymptotic stabilization of switched systems consisting of unstable secondorder linear time-invariant (LTI) subsystems. Necessary and su cient conditions for asymptotic stabilizability are ® rst obtained. If a switched system is asymptotically stabilizable, then the conic switching laws proposed in the paper are used to construct a switching law tha...

Quadratic stabilization of sampled-data systems with quantization

A design method of quantizers in sampled-data systems is proposed. The design objective is quadratic stability in the continuous-time domain, and thus the decay rate of the systems between sampling times is guaranteed. Our general treatment enables us to look for quantizers efficient in terms of data rate.

Stabilization of fixed modes in expansions of LTI systems

Stabilization of LTI Switched Systems with Input Time Delay

This paper deals with stabilization of LTI switched systems with input time delay. A description of systems’ stabilization is presented. Common Lyapunov function is introduced to construct switching law in order to stabilize this kind of system. Necessary and sufficient conditions are presented for both asynchronous switching and synchronous one. Precisely, after a proper change in state space ...

Output-feedback finite-time stabilization of disturbed LTI systems

Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differ...