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Backstepping controller synthesis and characterizations of incremental stability
Backstepping controller synthesis characterizations of incremental stability Optimization and Control
2012/7/9
Incremental stability is a property of dynamical and control systems, requiring the uniform asymptotic stability of every trajectory, rather than that of an equilibrium point or a particular time-vary...
A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin
Feedback Interconnection Negative Imaginary Systems Pole Origin
2011/9/16
Abstract: This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is derived, which ...
A Gel'fand-type spectral radius formula and stability of linear constrained switching systems
Joint/generalized spectral radius Gel’fand-type spectral-radius formula linear switched system asymptotic stability
2011/8/22
Abstract: Using ergodic theory, in this paper we present a Gel'fand-type spectral radius formula which states that the joint spectral radius is equal to the generalized spectral radius for a matrix mu...
The Stability of the Constrained Utility Maximization Problem - A BSDE Approach
Utility Maximization Duality Theory Quadratic Semimartingale BSDEs Stability
2011/8/23
Abstract: This article studies the sensitivity of the power utility maximization problem with respect to the investor's relative risk aversion, the statistical probability measure, the investment cons...