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反问题和正问题是成对出现的。通常,学术界将已知原因(输入)、过程(模型)而探求结果(输出)的一类问题称为正问题。与此相对应,就有了两种反问题:已知模型、输出求未知输入的“溯源”问题和已知输入、输出来反求模型(或模型参数)的系统辨识问题。在现实社会和人类生活中,反问题无处不在;在关系国家命脉的经济生产和国防军事领域中反问题更是随处可见。例如,与人类健康福祉密切相关的无痛无损伤、在体表进行测量的医学诊...
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of dx/dt...
This paper proposes a formulation to provide necessary and sufficient conditions for robust stability of a family of matrices modeling linearized power system dynamics. A construction for transforming...
In this paper we present a path-following (homotopy) method for (locally) solving bilinear matrix inequality (BMI) problems in control. The method is to linearize the BMI using a first order perturbat...
In this paper we consider the problem of determining optimal decentralized decision rules in discrete stochastic decision problems. Here we consider a static single-stage problem. It has been shown in...
We consider the problem of constructing optimal decentralized controllers. We formulate this problem as one of minimizing the closed-loop norm of a feedback system subject to constraints on the contro...
For decentralized control problems with quadratically invariant information constraints, the optimal controller may be found efficiently. In this paper, we show that there are systems which are not qu...
While peer-to-peer consensus algorithms have enviable robustness and locality for distributed estimation and computation problems, they have poor scaling behavior with network diameter. We show how de...
The classical filtering and prediction problem is re-examined using the BodeShannon representation of random processes and the “state transition” method of analysis of dynamic systems.
The classical filtering and prediction problem is re-examined using the Bode- Shannon representation of random processes and the “state transition” method of analysis of dynamic systems.
In this paper,the problem of minimizing a convex function subject to linear constraints is considered.An algorithm which is a combination of DFP variable metric method with generalized gradient projec...
摘要 In this paper, some problems of Lyapunov method in linear continuous-time system are discussed. In part 1, some motivations are given. In part 2, in order to get a good estimate ofthe decaying time...
This paper presents a unified framework of the nonmonotone convex combinationalgorithms (such as Frank-Wolfe Algorithm) for solving the traffic assignmentproblems. Global convergence results are estab...
We study in this paper a mathematical programming model for thecoexistence of competitions and cooperations problems. Weintroduce a new solution concept, $s$-optimal solution for theproblem, which al...
This paper presents a variant algorithm of Goldfarb's method for linearly constrained optimization problems. In the variant algorithm, we introduce a concept called conjugate projection, which differs...

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