For a family of shifted and rotated systems with multilmearly correlated perturbations, the strict positive realness of the entire family can be inferred from the same property of its vertex systems. The maximal H∞ n...For a family of shifted and rotated systems with multilmearly correlated perturbations, the strict positive realness of the entire family can be inferred from the same property of its vertex systems. The maximal H∞ norm of the shifted system family is achieved at vertex systems. Two well-known strong Kharitonov-like theorems on performance robustness of interval system family are direct consequences of the above results.展开更多
In this paper, weak strictly convex vector function and weak strictly H\-α convex vector function are introduced. We prove the uniqueness of major efficient solution when the objective function is weak strictly c...In this paper, weak strictly convex vector function and weak strictly H\-α convex vector function are introduced. We prove the uniqueness of major efficient solution when the objective function is weak strictly convex vector function, and the uniqueness of α major efficient solution when the objective function is weak strictly H α convex vector function.展开更多
文摘For a family of shifted and rotated systems with multilmearly correlated perturbations, the strict positive realness of the entire family can be inferred from the same property of its vertex systems. The maximal H∞ norm of the shifted system family is achieved at vertex systems. Two well-known strong Kharitonov-like theorems on performance robustness of interval system family are direct consequences of the above results.
文摘In this paper, weak strictly convex vector function and weak strictly H\-α convex vector function are introduced. We prove the uniqueness of major efficient solution when the objective function is weak strictly convex vector function, and the uniqueness of α major efficient solution when the objective function is weak strictly H α convex vector function.
