An exact condition for uniform stabilization and disturbance attenuation for switched linear systems is given in the discrete-time domain via the union of an increasing family of linear matrix inequality conditions. Associated with each Markovian jump linear system is a switched linear system, so we obtain a necessary and sufficient condition for almost sure uniform stabilization and disturbanc...

This paper studies the finite-time stabilization (FTS) of nonlinear systems with impulsive disturbance, where effect saturation structure on control input is fully considered. By establishing a potential relationship between and some FTS criteria are presented via class saturated input, estimations domain attraction settling-time derived. Compared without structure, constraints impulse time seq...

The notion of self-stabilization was first proposed by Dijkstra in 1974 in his classic paper. The paper defines a system as self-stabilizing if, starting at any, possibly illegitimate, state the system can automatically adjust itself to eventually converge to a legitimate state in finite amount of time and once in a legitimate state it will remain so unless it incurs a subsequent transient faul...

Abstract: This paper investigates the problem of global finite-time stabilization by output feedback for a class of high-order time-varying nonlinear systems with uncertainties. By introducing sign function and necessarily modifying the homogeneous domination approach, a continuous output feedback controller is successfully constructed to guarantee the global uniform finite-time stability of th...