Subramanian Ramamoorthy, Benjamin J. Kuipers, Aristotle Arapostathis, Mircea D. Driga, Joydeep Ghosh, Subramanian Ramamoorthy
the spirit of free inquiryAcknowledgments A wise man1 said “ If you have built castles in the air, your work need not be lost; that is where they should be. Now put the foundations under them. ”...
Controlled Switching Diffusions as Hybrid Processes (2007)
Mrinal K. Ghosh, Steven I. Marcus, Aristotle Arapostathis
this paper we discuss controlled switching diffusions as a particular class of hybrid control systems. This class of systems is also of interest in the study of deterministic hybrid systems, since...
Emmanuel Fernández-Gaucherand, Emmanuel Fern, Aristotle Arapostathis, Steven I. Marcus
We consider partially observable Markov decision processes with finite or countably infinite (core) state and observation spaces and finite action set. Following a standard approach, an equivalent...
PLANE-LIKE MINIMIZERS IN PERIODIC MEDIA: JET FLOWS AND GINZBURG-LANDAU Publication No. (2007)
Luis A. Ca#arelli, Irene Gamba, Takis Souganidis, Aristotle Arapostathis, Enrico Valdinoci, ...
...conosco le leggi del mondo e te ne faro dono... Acknowledgments It is a pleasure to thank Professor Luis Ca#arelli and Professor Rafael de la Llave for their strong help and support: sator arepo...
Controlled Markov Chains and Safety Criteria (2007)
Aristotle Arapostathis, Sekhar Tangirala
In this paper we introduce and study the notion of safety control of stochastic discrete event systems (DESs), modeled as controlled Markov chains. For non-stochastic DESs, modeled by state machines...
Task Encoding, Motion Planning and Intelligent Control using Qualitative Models (2007)
Subramanian Ramamoorthy, Benjamin J. Kuipers, Aristotle Arapostathis, Mircea D. Driga, Joydeep Ghosh, Subramanian Ramamoorthy
Dedicated to the spirit of free inquiry Acknowledgments A wise man 1 said “ If you have built castles in the air, your work need not be lost; that is where they should be. Now put the foundations...
A Note on an LQG Regulator With Markovian Switching and Pathwise Average Cost (2006)
Ghosh, Mrinal K., Arapostathis, Aristotle, Marcus, Steven I.
We study a linear system with a Markovian switching parameter perturbed by white noise. The cost function is quadratic. Under certain conditions, we find a linear feedback control which is almost...
Analysis of an Adaptive Control Scheme for a Partially Observed Controlled Markov Chain (2006)
Fernandez-Gaucherand, Emmanuel, Arapostathis, Aristotle, Marcus, Steven I.
The authors consider an adaptive finite state-controlled Markov chain with partial state information, motivated by a class of replacement problems. They present parameter estimation techniques based...
Optimal Control of Switching Diffusions With Application to Flexible Manufacturing Systems (2006)
Ghosh, Mrinal K., Arapostathis, Aristotle, Marcus, Steven I.
A controlled switching diffusion model is developed to study the hierarchical control of flexible manufacturing systems. The existence of a homogeneous Markov non-randomized optimal policy is...
Discrete-Time Controlled Markov Processes With Average Cost Criterion: A Survey (2006)
Arapostathis, Aristotle, Borkar, Vivek S., Fernandez-Gaucherand, Emmanuel, Ghosh, Mrinal K., Marcus, Steven I.
This work is a survey of the average cost control problem for discrete time Markov processes. We have attempted to put together a comprehensive account of the considerable research on this problem...
Ergodic Control of Switching Diffusions (2006)
Ghosh, Mrinal K., Arapostathis, Aristotle, Marcus, Steven I.
We study the ergodic control problem of switching diffusions representing a typical hybrid system that arises in numerous applications such as fault tolerant control systems, flexible manufacturing...
Seung Jun Baek, Gustavo De Veciana, Aristotle Arapostathis, Ross Baldick, Lili Qiu, Sanjay Shakkottai, ...
First of all I cannot express enough gratitude for my Advisor Gustavo de Veciana. He would always set standards higher, and I would find myself improved simply by seeking to meet his expectations. I...
Adaptive Control of Nonlinear and Stochastic Systems (2005)
Significant progress was made in a number of aspects of nonlinear and stochastic systems. Important contributions in the adaptive control of finite state Markov chains under partial observations were...
Steven Patrick Weber, Gustavo De Veciana, Aristotle Arapostathis, Ross Baldick, Scott Nettles, Harrick Vin, ...
To my parents, and to Erin.
Xun Su, Aristotle Arapostathis, Ross Baldick, Edward J. Powers, David P. Morton, ...
To my parents, with love
Harnack's Inequality For Cooperative Weakly Coupled Elliptic Systems (1999)
Aristotle Arapostathis, Mrinal K. Ghosh, Steven I. Marcus
this paper, we obtain analogues of Harnack's inequality for L-harmonic functions of operators in the class L(#, d, n). We use the technique introduced by Krylov for estimating the oscillation of...
Adaptive Control of Nonlinear and Stochastic Systems. (1998)
Marcus, Steven I., Arapostathis, Aristotle
Significant progress was made in a number of aspects of nonlinear and stochastic systems. An important problem in the adaptive estimation of a finite state Markov chain was solved, and significant...
Adaptive Control of Nonlinear and Stochastic Systems. (1998)
Marcus, Steven I., Arapostathis, Aristotle
Significant progress was made in a number of aspects of nonlinear and stochastic systems. An important problem in the adaptive control of a finite state Markov chain was solved, and significant...
Harnack's Inequality for Cooperative Weakly Coupled Elliptic Systems (1998)
Arapostathis, Aristotle, Ghosh, Mrinal K., Marcus, Steven I.
The authors consider cooperative, uniformly elliptic systems, with bounded coefficients and coupling in the zeroth-order terms. They establish two analogs of Harnack's inequality for this class of...
A (max,+) Algebra for Non-Stationary and Non-Deterministic Periodic Discrete Event Systems (1998)
Guillaume Philippe Brat, Dipl D'ing'enieur, Vijay K. Garg, Miroslaw Malek, Aristotle Arapostathis, Aloysius K. Mok, ...
vii List of Figures xiii Chapter 1
Ergodic control of switching diffusions (1997)
Ghosh, Mrinal K, Arapostathis, Aristotle, Marcus, Steven I
We study the ergodic control problem of switching diusions representing a typical hybrid system that arises in numerous applications such as fault-tolerant control systems, flexible manufacturing...
Ergodic control of switching diffusions (1997)
Ghosh, Mrinal K, Arapostathis, Aristotle, Marcus, Steven I
We study the ergodic control problem of switching diusions representing a typical hybrid system that arises in numerous applications such as fault-tolerant control systems, flexible manufacturing...
Harnack's Inequality for Cooperative Weakly Coupled Elliptic Systems (1997)
Arapostathis, Aristotle, Ghosh, Mrinal K., Marcus, S.I.
We consider cooperative, uniformly elliptic systems, with bounded coefficients and coupling in the zeroth-order terms. We establish two analogues of Harnack's inequality for this class of systems. A...
A Note on an LQG Regulator with Markovian Switching and Pathwise Average Cost (1995)
Ghosh, Mrinal K, Arapostathis, Aristotle, Marcus, Steven I
We study a linear system with a Markovian switching parameter perturbed by white noise. The cost function is quadratic. Under certain conditions, we find a linear feedback control which is almost...
A Note on an LQG Regulator with Markovian Switching and Pathwise Average Cost (1995)
Ghosh, Mrinal K, Arapostathis, Aristotle, Marcus, Steven I
We study a linear system with a Markovian switching parameter perturbed by white noise. The cost function is quadratic. Under certain conditions, we find a linear feedback control which is almost...
A Note on an LQG Regulator with Markovian Switching and Pathwise Average Cost (1994)
Ghosh, Mrinal K., Arapostathis, Aristotle, Marcus, S.I.
We study a linear system with a Markovian switching parameter perturbed by white noise. The cost function is quadratic. Under certain conditions, we find a linear feedback control which is almost...
Optimal Control of Switching Diffusions with Application to Flexible Manufacturing Systems (1993)
Ghosh, Mrinal K, Arapostathis, Aristotle, Marcus, Steven I
A controlled switching diffusion model is developed to study the hierarchical control of flexible manufacturing systems. The existence of a homogeneous Markov nonrandomized optimal policy is...
Optimal Control of Switching Diffusions with Application to Flexible Manufacturing Systems (1993)
Ghosh, Mrinal K, Arapostathis, Aristotle, Marcus, Steven I
A controlled switching diffusion model is developed to study the hierarchical control of flexible manufacturing systems. The existence of a homogeneous Markov nonrandomized optimal policy is...
Optimal Control of A Hybrid System With Pathwise Average Cost (1992)
Ghosh, Mrinal K, Arapostathis, Aristotle, Marcus, Steven I
We study the ergodic control problem of switching diffusions representing a typical hybrid system that arises in numerous applications such as fault tolerant control systems, flexible manufacturing...
Ergodic Control of Switching Diffusions (1992)
Ghosh, Mrinal K., Arapostathis, Aristotle, Marcus, S.I.
We study the ergodic control problem of switching diffusions representing a typical hybrid system that arises in numerous applications such as fault tolerant control systems, flexible manufacturing...
A Note on an LQG Regulator with Markovian Switching and Pathwise Average Cost (1992)
Ghosh, Mrinal K., Arapostathis, Aristotle, Marcus, S.I.
We study a linear system with a Markovian switching parameter perturbed by white noise. The cost function is quadratic. Under certain conditions, we find a linear feedback control which is almost...
Optimal Control of A Hybrid System With Pathwise Average Cost (1992)
Ghosh, Mrinal K, Arapostathis, Aristotle, Marcus, Steven I
We study the ergodic control problem of switching diffusions representing a typical hybrid system that arises in numerous applications such as fault tolerant control systems, flexible manufacturing...
Discrete-Time Controlled Markov Processes with Average Cost Criterion: A Survey (1991)
Arapostathis, Aristotle, Borkar, Vivek S., Fernandez-Gaucherand, E., Ghosh, M.K., Marcus, S.I.
This work is a survey of the average cost control problem for discrete-time Markov processes. We have attempted to put together a comprehensive account of the considerable research on this problem...
Optimal Control of Switching Diffusions with Application to Flexible Manufacturing Systems (1991)
Ghosh, Mrinal K., Arapostathis, Aristotle, Marcus, S.I.
A Controlled switching diffusion model is developed to study the hierarchical control of flexible manufacturing systems. The existence of a homogeneous Markov nonrandomized optimal policy is...
Discrete-Time Controlled Markov Processes with Average Cost Criterion: A Survey (1991)
Arapostathis, Aristotle, Borkar, Vivek S., Fernandez-Gaucherand, Emmanuel, Ghosh, Mrinal K., Marcus, S.I.
This work is a survey of the average cost control problem for discrete-time Markov processes. We have attempted to put together a comprehensive account of the considerable research on this problem...
Analysis of an Adaptive Control Scheme for a Partially Observed Controlled Markov Chain (1991)
Fernandez-Gaucherand, Emmanuel, Arapostathis, Aristotle, Marcus, S.I.
We consider an adaptive finite state controlled Markov chain with partial state information, motivated by a class of replacement problems. We present parameter estimation techniques based on the...
Qualitative analysis of the swing-equation in power systems / (1983)
Thesis (Ph. D. in Engineering)--University of California, Berkeley, June 1983.
Qualitative analysis of the swing-equation in power systems /--by Aristotle Arapostathis. (1982)
Thesis (Ph. D.)--University of California.
Counterexample to a conjecture for stability : research project / (1977)
Thesis (M.S. in Electrical Engineering)--University of California, Berkeley, Sept. 1977.
Ergodic Control Of Switching Diffusions
Mrinal K. Ghosh, Aristotle Arapostathis, Steven I. Marcus
this paper, the optimal pathwise average cost coincides with the optimal expected average cost. So we do not distinguish between these two criteria. Our paper is organized as follows. In Section 2 we...