State feedback stabilization of switched systems with delay: trajectory based approach
Proceedings of the American Control Conference
Institute of Electrical and Electronics Engineers Inc.
4540 - 4543
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We present a new trajectory based approach for state feedback stabilization of switched linear continuous-time systems with a time-varying input delay. In contrast with finding classical common Lyapunov function or multiple Lyapunov functions for establishing the stability of the closed-loop switched system, the new trajectory based approach relies on verifying certain inequalities along the solution of a supplementary system. This study does not make any assumption regarding the stabilizability of all of the constituent subsystems of the switched system. Moreover, no assumption is needed about the differentiability of the delay and no constraint is imposed on the upper bound of the delay derivative. Finally, an illustrative example is included to illustrate the applicability of our results. © 2017 American Automatic Control Council (AACC).
Convergence of numerical methods
Nonlinear control systems
Common Lyapunov functions
Linear continuous-time system
Multiple Lyapunov function
Time-varying input delay
Continuous time systems
Published Version (Please cite this version)http://dx.doi.org/10.23919/ACC.2017.7963655
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