Differential Dissipativity Theory for Dominance Analysis
نویسندگان
چکیده
منابع مشابه
Differential dissipativity theory for dominance analysis
High-dimensional systems that have a lowdimensional dominant behavior allow for model reduction and simplified analysis. We use differential analysis to formalize this important concept in a nonlinear setting. We show that dominance can be studied through linear dissipation inequalities and an interconnection theory that closely mimics the classical analysis of stability by means of dissipativi...
متن کاملDissipativity Theory for Nesterov's Accelerated Method
In this paper, we adapt the control theoretic concept of dissipativity theory to provide a natural understanding of Nesterov’s accelerated method. Our theory ties rigorous convergence rate analysis to the physically intuitive notion of energy dissipation. Moreover, dissipativity allows one to efficiently construct Lyapunov functions (either numerically or analytically) by solving a small semide...
متن کاملResearch Paper Dissipativity and Stability Analysis for Fractional Functional Differential Equations
This paper concerns the dissipativity and stability of the Caputo nonlinear fractional functional differential equations (F-FDEs) with order 0 < α < 1. The fractional generalization of the Halanay-type inequality is proposed, which plays a central role in studies of stability and dissipativity of F-FDEs. Then the dissipativity and the absorbing set are derived under almost the same assumptions ...
متن کاملL–operator Integro–differential Inequality for Dissipativity of Stochastic Integro–differential Equations
In this paper, Itô stochastic integro-differential equations are considered. By establishing an L -operator integro-differential inequality and using the properties of M -cone and stochastic analysis technique, we obtain some new sufficient conditions ensuring the exponential p -dissipativity of the stochastic integro-differential equations. An example is also discussed to illustrate the effici...
متن کاملDominance-Based Decision Theory
Decision theory has been plagued with a variety of problems almost from the start. Some, like the Ellsberg paradox [Ellsberg, 1961] merely seem to point to the problems actual people have in calculating probabilities and utilities. Others, like the Newcomb paradox and its relatives, have motivated a re-foundation of decision theory on causal grounds rather than evidential grounds [Joyce, 1999]....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2019
ISSN: 0018-9286,1558-2523,2334-3303
DOI: 10.1109/tac.2018.2867920