Terminal Time-Constrained Nonlinear Interception Strategies Against Maneuvering Targets

2021 ◽  
Vol 44 (1) ◽  
pp. 200-209
Author(s):  
Shashi Ranjan Kumar ◽  
Dwaipayan Mukherjee
Keyword(s):  
Maneuvering Targets ◽  
Terminal Time

scholarly journals BSDEs with polynomial growth generators

2000 ◽  
Vol 13 (3) ◽  
pp. 207-238 ◽  
Author(s):  
Philippe Briand ◽  
René Carmona
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Existence And Uniqueness ◽  
Polynomial Growth ◽  
Probabilistic Representation ◽  
Existence And Uniqueness Results ◽  
State Variable ◽  
Cahn Equation ◽  
Uniqueness Results ◽  
Terminal Time

In this paper, we give existence and uniqueness results for backward stochastic differential equations when the generator has a polynomial growth in the state variable. We deal with the case of a fixed terminal time, as well as the case of random terminal time. The need for this type of extension of the classical existence and uniqueness results comes from the desire to provide a probabilistic representation of the solutions of semilinear partial differential equations in the spirit of a nonlinear Feynman-Kac formula. Indeed, in many applications of interest, the nonlinearity is polynomial, e.g, the Allen-Cahn equation or the standard nonlinear heat and Schrödinger equations.

scholarly journals Networked sensor management and data rate control for tracking maneuvering targets

2005 ◽  
Vol 53 (6) ◽  
pp. 1979-1991 ◽  
Author(s):  
R. Evans ◽  
V. Krishnamurthy ◽  
G. Nair ◽  
L. Sciacca
Keyword(s):  
Rate Control ◽  
Data Rate ◽  
Sensor Management ◽  
Maneuvering Targets
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