c1), and a new upper bound is obtained for the optimal controller gain of the extended control system (c2). Several examples are provided to demonstrate that our bounds of the optimal controller gain are superior to some previous results.Subsequently, we provide the applications of the new boundsin relevant redundant control problems and obtain good results.Finally, the corresponding numerical examples are provided to illustrate the effectiveness of our results and to compare them with the existing results."/> c1), and a new upper bound is obtained for the optimal controller gain of the extended control system (c2). Several examples are provided to demonstrate that our bounds of the optimal controller gain are superior to some previous results.Subsequently, we provide the applications of the new boundsin relevant redundant control problems and obtain good results.Finally, the corresponding numerical examples are provided to illustrate the effectiveness of our results and to compare them with the existing results."/> c1), and a new upper bound is obtained for the optimal controller gain of the extended control system (c2). Several examples are provided to demonstrate that our bounds of the optimal controller gain are superior to some previous results.Subsequently, we provide the applications of the new boundsin relevant redundant control problems and obtain good results.Finally, the corresponding numerical examples are provided to illustrate the effectiveness of our results and to compare them with the existing results."/> c1), and a new upper bound is obtained for the optimal controller gain of the extended control system (c2). Several examples are provided to demonstrate that our bounds of the optimal controller gain are superior to some previous results.Subsequently, we provide the applications of the new boundsin relevant redundant control problems and obtain good results.Finally, the corresponding numerical examples are provided to illustrate the effectiveness of our results and to compare them with the existing results."/> New solution bounds of the continuous algebraic Riccati equation and their applications in redundant control input systems
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