On spatially uniform behavior in reaction-diffusion PDE and coupled ODE systems (2009)
We present a condition which guarantees spatial uniformity for the asymptotic behavior of the solutions of a reaction-diffusion PDE with Neumann boundary conditions. This condition makes use of the...
Mihailo R. Jovanović, Murat Arcak, Senior Member, Eduardo D. Sontag
Abstract—A class of distributed systems with a cyclic interconnection structure is considered. These systems arise in several biochemical applications and they can undergo diffusion-driven...
Redesigning a Class of Nonlinear Observers for Certainty-Equivalence Control (2009)
Abstract — We study how the class of observers introduced in [1], here referred to as circle-criterion observers, can be incorporated in output-feedback control. Due to the absence of a...
A Robustness Analysis of Game-Theoretic CDMA Power Control (2008)
Xingzhe Fan, Murat Arcak, John T. Wen
This paper studies robustness of a gradient-type CDMA uplink power control algorithm with respect to disturbances and time-delays. This problem is of practical importance because unmodeled secondary...
Robust Output-Feedback Design Using a New Class of Nonlinear Observers 1 (2007)
This paper analyzes the robustness of a nonlinear observer design recently introduced by the authors. For uncertainties in the nonlinearities, bounds are given within which the observer error...
Arcak, Murat, Sontag, Eduardo D.
This paper presents a stability test for a class of interconnected nonlinear systems motivated by biochemical reaction networks. One of the main results determines global asymptotic stability of the...
distributed systems with a (2007)
Mihailo R. Jovanović, Murat Arcak, Eduardo D. Sontag
passivity-based approach to stability of spatially
Murat Arcak, Eduardo D. Sontag
(Communicated by Sergei Pilyugin) Abstract. This paper presents a stability test for a class of interconnected nonlinear systems motivated by biochemical reaction networks. The main result determines...
Passivity-Based Designs for Synchronized Path Following (2006)
We consider a formation control system where individual systems are controlled by a path-following design and the path variables are to be synchronized. We first show a passivity property for the...
Diagonal Stability for a Class of Interconnected Passive Systems (2005)
We consider a class of matrices with a specific structure that arises, among other examples, in dynamic models for biological regulation of enzyme synthesis (Tyson and Othmer, 1978). We first show...
Power control for multicell CDMA wireless networks: A team optimization approach (2005)
Tansu Alpcan, Xingzhe Fan, Murat Arcak, John T. Wen
We study power control in multicell CDMA wireless networks as a team optimization problem where each mobile attains at the minimum its individual fixed target SIR level and beyond that optimizes its...
Power Control for Multicell CDMA Wireless Networks: (2005)
Team Optimization Approach, Tansu Alpcan, Xingzhe Fan, Murat Arcak, John T. Wen
We study power control in multicell CDMA wireless networks as a team optimization problem where each mobile attains at the minimum its individual fixed target SIR level and beyond that optimizes its...
Power control for multicell CDMA wireless networks: A team optimization approach (2005)
Tansu Alpcan, Xingzhe Fan, Murat Arcak, John T. Wen
We study power control in multicell CDMA wireless networks as a team optimization problem where each mobile attains its individual fixed target SIR level by transmitting with minimum possible power...
Delay robustness of a class of nonlinear systems and applications to communication networks (2004)
Abstract — In this paper we first study a class of nonlinear interconnected systems and derive sufficient conditions for their delay robustness. We then study a subclass with a specific...
lp stability and delay robustness of network flow control (2003)
Xingzhe Fan, Murat Arcak, John T. Wen
This paper studies robustness of Kelly’s source and link control laws in [1] with respect to disturbances and time-delays. This problem is of practical importance because of unmodeled flows, and...
A unifying passivity framework for network flow control (2003)
Abstract — Network flow control regulates the traffic between sources and links based on congestion, and plays a critical role in ensuring satisfactory performance. In recent studies, global...
A unifying passivity framework for network flow control (2003)
Abstract — Network flow control regulates the traffic between sources and links based on congestion, and plays a critical role in ensuring satisfactory performance. In recent studies, global...
A unifying passivity framework for network flow control (2003)
Abstract — Network flow control regulates the traffic between sources and links based on congestion, and plays a critical role in ensuring satisfactory performance. In recent studies, global...
A unifying passivity framework for network flow control (2003)
Network flow control regulates the traffic between sources and links based on congestion, and plays a critical role in ensuring satisfactory performance. In recent studies, global stability has been...
Automated tuning of bifurcations via feedback (2002)
Moreau, Luc, Sontag, Eduardo, Arcak, Murat
The present paper studies a feedback regulation problem, which may be interpreted as an adaptive control problem, but has not yet been studied in the control literature. The problem, which arises in...
A Unifying Integral Iss Framework For Stability Of Nonlinear Cascades (2002)
Murat Arcak, David Angeli, Eduardo Sontag
We analyze nonlinear cascades in which the driven subsystem is integral input-tostate stable (ISS), and we characterize the admissible integral ISS gains for stability. This characterization makes...
A unifying integral ISS framework for stability of nonlinear cascades (2002)
Murat Arcak, David Angeli, Eduardo Sontag
Abstract. We analyze nonlinear cascades in which the driven subsystem is integral input-tostate stable (ISS), and we characterize the admissible integral ISS gains for stability. This...
The 9th Mediterranean Conference on Control and Automation (2001)
An Abbreviated, Petar Kokotović, Murat Arcak
We briefly review selected results in nonlinear and adaptive control, focusing on constructive concepts and design procedures: control Lyapunov functions, feedback passivation, robust and adaptive...
Ole Morten Aamo, Murat Arcak, Thori. Fossen, Petar V. Kokotovi
We address the problem of output feedback tracking control of a class of Euler-Lagrange systems subject to nonlinear dissipative loads. By imposing a monotone damping condition on the nonlinearities...
Murat Arcak, Maria Seron, Julio Braslavsky, Petar Kokotovic
Abstract---We present two redesigns to robustify backstepping control laws against dynamic uncertainties at the input of the plant. In the first redesign we construct a passivating control law from a...
Nonlinear observers: a circle criterion design and robustness analysis (1923)
Murat Arcak, Petar Kokotović, Automatica -hkk-r
Globally convergent observers are designed for a class of systems with monotonic nonlinearities. The approach is to represent the observer error system as the feedback interconnection of a linear...
Murat Arcak, Eduardo D. Sontag
This paper presents a stability test for a class of interconnected nonlinear systems motivated by biochemical reaction networks. The main result determines global asymptotic stability of the network...