In 1960, R.E. Kalman published his famous paper describing a recursive solution to the discretedata linear filtering problem. Since that time, due in large part to advances in digital computing, the Kalman filter has been the subject of extensive…
Control Systems
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We are developing a dual panel breastdedicated PET system using LSO scintillators coupled to position sensitive avalanche photodiodes (PSAPD). The charge output is amplified and read using NOVA RENA3 ASICs. This paper shows that the coincidence…

This paper provides a theoretical framework for analysis of consensus algorithms for multiagent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due to link/node failures,…

In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using…

Choosing good problems is essential for being a good scientist. But what is a good problem, and how do you choose one? The subject is not usually discussed explicitly within our profession. Scientists are expected to be smart enough to figure it out…

Matrix identities, relations and approximations. A desktop reference for quick overview of mathematics of matrices.

Despite growing evidence that increased brainderived neurotrophic factor (BDNF) and hippocampal adult neurogenesis are necessary for the behavioral actions of antidepressants in rodents, the cellular mechanisms involved in these effects are still…

The field's leading text, now completely updated. Modeling dynamical systems  theory, methodology, and applications. Lennart Ljung's "System Identification: Theory for the User" is a complete, coherent description of the theory, methodology, and…

In this paper, we discuss consensus problems for networks of dynamic agents with fixed and switching topologies. We analyze three cases: 1) directed networks with fixed topology; 2) directed networks with switching topology; and 3) undirected…

The properties of positively invariant sets are involved in many different problems in control theory, such as constrained control, robustness analysis, synthesis and optimization. In this paper we provide an overview of the literature concerning…

Increasingly, for many application areas, it is becoming important to include elements of nonlinearity and nonGaussianity in order to model accurately the underlying dynamics of a physical system. Moreover, it is typically crucial to process data…

For discretetime linear time invariant systems with constraints on inputs and states, we develop an algorithm to determine explicitly, the state feedback control law which minimizes a quadratic performance criterion. We show that the control law is…

In this paper, a bibliographical review on reconfigurable (active) faulttolerant control systems (FTCS) is presented. The existing approaches to fault detection and diagnosis (FDD) and faulttolerant control (FTC) in a general framework of active…

Model predictive control is a form of control in which the current control action is obtained by solving, at each sampling instant, a finite horizon openloop optimal control problem, using the current state of the plant as the initial state; the…

The MATLAB toolbox YALMIP is introduced. It is described how YALMIP can be used to model and solve optimization problems typically occurring in systems and control theory. In this paper, free MATLAB toolbox YALMIP, developed initially to model SDPs…

This paper proposes a framework for modeling and controlling systems described by interdependent physical laws, logic rules, and operating constraints, denoted as mixed logical dynamical (MLD) systems. These are described by linear dynamic equations…

This is a tutorial on the mathematical theory and process control applications of linear matrix inequalities (LMIs) and bilinear matrix inequalities (BMIs). Many convex inequalities common in process control applications are shown to be LMIs. Proofs…

This paper presents an overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear outputfeedback controllers. The design objectives can be a mix of H<sub>∞</sub> performance, H<sub>2</sub> performance,…

Conventional approaches to sampling signals or images follow Shannon's theorem: the sampling rate must be at least twice the maximum frequency present in the signal (Nyquist rate). In the field of data conversion, standard analogtodigital…

This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discretetime signal f∈C<sup>N</sup> and a randomly chosen set of frequencies Ω. Is it possible to reconstruct f from the…
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