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This paper is considered with the computation of upper bounds for the solution of continuous algebraic Riccati equations (CARE). By using some linear algebraic techniques, a parameterized upper bound for the solution of CARE is presented. Iterative algorithm is also given to obtain more precise bounds. Compared with some existing results in the literature, the present bounds are less restrictive and...
In this paper, we propose a new method to construct an optimal coherent quantum controller, which is required to be physically realizable. This method is based on an evolutionary optimization method, namely the Differential Evolution approach. The aim is to provide a straightforward algorithm to deal with both nonlinear and nonconvex constraints arising in the quantum controller design. The solution...
In this paper, we state the positive real lemma for stabilizable and detectable systems. First, without assumptions of controllability and observability, we show the positive real lemma for stable systems under only some constraint with respect to invariant zeros. Moreover we show that the solution of the Lyapunov equation in the positive real lemma is positive definite. Next we show the positive...
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