Philip E. Pare

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This thesis presents the formulation and solution of a new problem in systems and control theory, called the Network Realization Problem. Its relationship to other problems, such as State Realization [1] and Structural Identifiability [2], is shown. The motivation for this work is the desire to completely quantify the conditions for transitioning between(More)
— Virus models are used commonly for modeling and analysis of biological networks, computer networks, and human contact networks. The dynamic modeling of such systems in prior work has mainly been focused on networks with static graph structures, which we posit are unrealistic and/or oversimplified for the purpose of understanding and analyzing disease(More)
Network reconstruction is an important research topic in many different applications, including biochemical reactions, critical infrastructures, social media, and wireless mesh networks. This paper shows that, for a certain important class of systems, all the states in a system must be measured in order to ensure correct reconstruction of the network.(More)
— This paper considers how much one must know, a priori, about a particular state space system to recover it from its transfer function. Knowing that one has access to full state measurements is clearly sufficient to uniquely specify a specific state space model from a given transfer function, but identifying what information is necessary for such state(More)
— This paper demonstrates that both Balanced Truncation and Balanced Singular Perturbation Approximations can be viewed as limiting approximations of the same parameterization of Linear Time Invariant (LTI) systems. First, we introduce a specific parameterization of LTI systems that distinguishes dynamic and structural parameters. Next, we apply the Model(More)
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