Dynamics and Stability of Continuous-Time Switched Linear Systems

Preface.- Introduction.- Switched linear systems: Definitions and basic facts.- Stability analysis for two-dimensional switched systems.- Direct and converse Lyapunov functions.- Barabanov norms.- Switched systems in dimension three.- Restrained switching signals.- Switched controlled dynamics.- Appendix: Complementary definitions and results.

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• Engenharia do controlo automático
• Cálculo diferencial e equações
• Cibernética e teoria dos sistemas

Linear Switching Systems;Switched Controlled Dynamics;Exponential Stability;Maximal Lyapunov Exponent;Barabanov norms;Periodic Signals;Fenichel lemma;Quadratic Stability;Stabilization by Switching;Extremal Trajectories;Berger-Wang formula;L^2 Gain for Switching Systems