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Issues concerning the construction of quadratically stabilizing switching laws among N unstable linear systems are studied in this paper. The obtained results are also employed to study the existence of control laws and quadratically stabilizing switching laws among a class of unstabilizable linear control systems. Finally, the illustrative examples and simulation results show the feasibility and...
Issues regarding the application of two equivalent sufficient conditions for the existence of stabilizing switching laws between two unstable linear systems are studied. One of the conditions is effective for theoretical derivation, while the other is easily implementable. To further understand the geometrical insight of the conditions, an equivalent condition involving the information of eigenvalues...
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