Discrete-Time System Conditional Optimization in the Parameter Space with Nonzero Initial Conditions

Necessary Conditions for Discrete Parameter Stochastic Optimization Problems

Conditional Planning in the Discrete Belief Space

Probabilistic planning with observability restrictions, as formalized for example as partially observable Markov decision processes (POMDP), has a wide range of applications, but it is computationally extremely difficult. For POMDPs, the most general decision problems about existence of policies satisfying certain properties are undecidable. We consider a computationally easier form of planning...

Fully discrete hyperbolic initial boundary value problems with nonzero initial data

The stability theory for hyperbolic initial boundary value problems relies most of the time on the Laplace transform with respect to the time variable. For technical reasons, this usually restricts the validity of stability estimates to the case of zero initial data. In this article, we consider the class of non-glancing finite difference approximations to the hyperbolic operator. We show that ...

Admissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model

This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...

Practical stability for discrete hybrid system with initial time difference

In this paper, we study the discrete hybrid system with different initial times. By employing Lyapunov-like functions, some new comparison theorems and several practical stability criteria for discrete hybrid system with initial time difference are obtained.