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A geometric program (GP) is a type of mathematical optimization problem characterized by objective and constraint functions that have a special form. Recently developed solution methods can solve… (More)

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… (More)

- Arash Hassibi, Stephen Boyd
- IEEE Trans. Signal Processing
- 1998

We consider parameter estimation in linear models when some of the parameters are known to be integers. Such problems arise, for example, in positioning using carrier phase measurements in the global… (More)

- Arash Hassibi, Stephen P. Boyd Jonathan P. How
- 1999

In this paper we consider dynamical systems which are driven by “events” that occur asynchronously. It is assumed that the event rates are fixed, or at least they can be bounded on any time period of… (More)

- THOMAS PAREÂ, Arash Hassibi
- 1999

Absolute stability criteria for systems with multiple hysteresis non-linearities are given in this paper. It is shown that the stability guarantee is achieved with a simple two part test on the… (More)

- David M. Colleran, Clemenz Portmann, +5 authors Maria del Mar Hershenson
- 2003

We describe the global optimization of phaselocked loop (PLL) circuits using geometric programming (GP). Equations for the jitter, frequency range, and power of the PLL are presented in GP form. An… (More)

- Arash Hassibi, Jonathan How Stephen BoydInformation Systems LaboratoryStanford UniversityStanford
- 1998

The premise in low-authority control (LAC) is that the actuators have limited authority, and hence cannot signi cantly shift the eigenvalues of the system [1, 2]. As a result, the closed-loop… (More)

This work builds on the stability analysis of piecewisea ne systems reported in [1] and extends it to obtain a new synthesis tool for output feedback controllers. The proposed technique relies on… (More)

- Arash Hassibi
- 1996

We consider parameter estimation in linear models when some of the parameters are known to be integers. Such problems arise, for example, in positioning using phase measurements in the global… (More)

In this paper we address the problem of low-authority controller (LAC) design. The premise is that the actuators have limited authority, and hence cannot significantly shift the eigenvalues of the… (More)