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SIAMCO
2002
72views more  SIAMCO 2002»
13 years 11 months ago
A Unifying Integral ISS Framework for Stability of Nonlinear Cascades
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. T...
Murat Arcak, David Angeli, Eduardo D. Sontag
SIAMCO
2002
72views more  SIAMCO 2002»
13 years 11 months ago
Filtering of Nonlinear Stochastic Feedback Systems
This paper concerns the filtering problem for a class of stochastic nonlinear systems where the drift term may depend either on some external function (open-loop system) or on the ...
Francesco Carravetta, Alfredo Germani, Robert Sh. ...
SIAMCO
2002
87views more  SIAMCO 2002»
13 years 11 months ago
Optimal Consumption and Portfolio with Both Fixed and Proportional Transaction Costs
We consider a market model with one riskfree and one risky asset, in which the dynamics of the risky asset is governed by a geometric Brownian motion. In this market we consider a...
Bernt Oksendal, Agnès Sulem
SIAMCO
2002
128views more  SIAMCO 2002»
13 years 11 months ago
Generalized Solutions in Nonlinear Stochastic Control Problems
An optimal stochastic control problem is considered for systems with unbounded controls satisfying an integral constraint. It is shown that there exists an optimal control within t...
F. Dufour, Boris M. Miller
SIAMCO
2002
70views more  SIAMCO 2002»
13 years 11 months ago
Lossless and Dissipative Distributed Systems
This paper deals with linear shift-invariant distributed systems. By this we mean systems described by constant coefficient linear partial differential equations. We define dissipa...
Harish K. Pillai, Jan C. Willems
SIAMCO
2002
89views more  SIAMCO 2002»
13 years 11 months ago
Convexity in Zero-Sum Differential Games
A new approach to two-player zero-sum differential games with convex-concave cost function is presented. It employs the tools of convex and variational analysis. A necessary and s...
Rafal Goebel
SIAMCO
2002
71views more  SIAMCO 2002»
13 years 11 months ago
Rate of Convergence for Constrained Stochastic Approximation Algorithms
There is a large literature on the rate of convergence problem for general unconstrained stochastic approximations. Typically, one centers the iterate n about the limit point then...
Robert Buche, Harold J. Kushner