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,…

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…

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.

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

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…

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…

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…

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 a recent Physical Review Letters article, Vicsek et al. propose a simple but compelling discretetime model of n autonomous agents (i.e., points or particles) all moving in the plane with the same speed but with different headings. Each agent's…

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…

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…

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…

By a switched system, we mean a hybrid dynamical system consisting of a family of continuoustime subsystems and a rule that orchestrates the switching between them. The article surveys developments in three basic problems regarding stability and…

This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discretetime signal f∈CN and a randomly chosen set of frequencies Ω. Is it possible to reconstruct f from the partial knowledge of its…

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…
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