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The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited

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This paper focuses on the asymptotic stability of second-order switched linear systems with positive real part conjugate complex roots for each subsystem. Compared with available studies, a more appropriate state-dependent… Click to show full abstract

This paper focuses on the asymptotic stability of second-order switched linear systems with positive real part conjugate complex roots for each subsystem. Compared with available studies, a more appropriate state-dependent switching rule is designed to stabilize a switched system with the phase trajectories of two subsystems rotating outward in the same direction or the opposite direction. Finally, several numerical examples are used to illustrate the effectiveness and superiority of the proposed method.

Keywords: order switched; state dependent; switched linear; second order; dependent switching; linear systems

Journal Title: Axioms
Year Published: 2022

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