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In this paper, the feedback stabilization problem of planar switched linear systems with two subsystems under arbitrary switching is investigated. An easily checkable sufficient and necessary condition for quadratic stabilization is derived using the geometric approach. For systems which cannot be quadratically stabilized, a sufficient condition for asymptotical stabilization is also given.
Variation paradigm is introduced for stability in terms of asymptotic gain of persistent dwell-time switched time-delay systems. The principle of small-variation small-state is conceived to formulate conditions on ultimate variations between end times of dwell-time switching intervals for convergence in these intervals. Trajectory convergence is then derived using evolutionary data in both retarded...
In this paper, adaptive control is studied for a class of nonlinear discrete-time systems in parameter-strict-feedback form with both parametric and non-parametric uncertainties. The non-parametric uncertainty function is assumed to satisfy the Lipschitz condition. To achieve asymptotical tracking performance, estimation of both uncertainties is constructed. Future states are predicted to overcome...
In this paper, the stability analysis for a class of second order switched LTI systems with possible marginally stable subsystems is investigated. The main contribution here is the derivation of a necessary and sufficient condition for stability of such a switched system under arbitrary switching. The condition can be easily checked which is illustrated by an example.
This paper studies the global stability problem of limit cycles for MIMO linear systems under decentralized relay feedback. The key idea is to reduce the global stability problem to the asymptotic stability of an uncertain discrete-time system.
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