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Explicit Solution for Constrained Scalar-State Stochastic Linear-Quadratic Control With Multiplicative Noise

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Model Predictive Control
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Stochastic Model Predictive Control
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Stochastic Model Predictive Control
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Foundations of Modern Probability
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Numerical Optimization
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Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework
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Indefinite quadratic with linear costs optimal control of Markov jump with multiplicative noise systems
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A generalized multi-period mean–variance portfolio optimization with Markov switching parameters
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Optimal mean–variance control for discrete-time linear systems with Markovian jumps and multiplicative noises
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Stochastic model predictive control for constrained discrete-time Markovian switching systems
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Model predictive control: Recent developments and future promise
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Time cardinality constrained mean–variance dynamic portfolio selection and market timing: A stochastic control approach
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Optimal Multiperiod Mean-Variance Policy Under No-Shorting Constraint
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On stochastic Riccati equations for the stochastic LQR problem
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Static and output-feedback of discrete-time LTI systems with state multiplicative noise
inferredcites →https://doi.org/10.1016/s0005-1098(01)00174-1openalex-snapshot
The explicit linear quadratic regulator for constrained systems
inferredcites →https://doi.org/10.1023/a:1024887007165openalex-snapshot
Indefinite Stochastic Linear Quadratic Control with Markovian Jumps in Infinite Time Horizon
inferredcites →https://doi.org/10.1080/00207178208932938openalex-snapshot
On positive controllers and linear quadratic optimal control problems†
inferredcites →https://doi.org/10.1080/002071798222208openalex-snapshot
Linear quadratic regulator problem with positive controls
inferredcites →https://doi.org/10.1109/9.58508openalex-snapshot
A generalization of the uncertainty threshold principle
inferredcites →https://doi.org/10.1109/9.774108openalex-snapshot
Stochastic optimal LQR control with integral quadratic constraints and indefinite control weights
inferredcites →https://doi.org/10.1109/9.911419openalex-snapshot
Solvability and asymptotic behavior of generalized Riccati equations arising in indefinite stochastic LQ controls
inferredcites →https://doi.org/10.1109/acc.2006.1656448openalex-snapshot
Optimal filtering for polynomial system states with polynomial multiplicative noise
inferredcites →https://doi.org/10.1109/mcs.2016.2602087openalex-snapshot
Stochastic Model Predictive Control: An Overview and Perspectives for Future Research
inferredcites →https://doi.org/10.1109/tac.1977.1101526openalex-snapshot
The uncertainty threshold principle: Some fundamental limitations of optimal decision making under dynamic uncertainty
inferredcites →https://doi.org/10.1109/tac.2006.874981openalex-snapshot
Discrete-Time Markov Jump Linear Systems
inferredcites →https://doi.org/10.1109/tac.2008.2010886openalex-snapshot
Stochastic Receding Horizon Control of Constrained Linear Systems With State and Control Multiplicative Noise
inferredcites →https://doi.org/10.1109/tac.2011.2140770openalex-snapshot
Cardinality Constrained Linear-Quadratic Optimal Control
inferredcites →https://doi.org/10.1109/tac.2011.2176429openalex-snapshot
Stabilizing Model Predictive Control of Stochastic Constrained Linear Systems
inferredcites →https://doi.org/10.1109/tac.2014.2311875openalex-snapshot
Unified Framework of Mean-Field Formulations for Optimal Multi-Period Mean-Variance Portfolio Selection
inferredcites →https://doi.org/10.1111/1467-9965.00100openalex-snapshot
Optimal Dynamic Portfolio Selection: Multiperiod Mean‐Variance Formulation
inferredcites →https://doi.org/10.1111/mafi.12093openalex-snapshot
MEAN‐VARIANCE POLICY FOR DISCRETE‐TIME CONE‐CONSTRAINED MARKETS: TIME CONSISTENCY IN EFFICIENCY AND THE MINIMUM‐VARIANCE SIGNED SUPERMARTINGALE MEASURE
inferredcites →https://doi.org/10.1137/s0363012900378504openalex-snapshot
Dynamic Mean-Variance Portfolio Selection with No-Shorting Constraints
inferredcites →https://doi.org/10.1137/s0363012904441969openalex-snapshot
Constrained Stochastic LQ Control with Random Coefficients, and Application to Portfolio Selection
inferredcites →https://doi.org/10.1287/mnsc.2016.2639openalex-snapshot
A Partitioning Algorithm for Markov Decision Processes with Applications to Market Microstructure
inferredcites →https://doi.org/10.1287/msom.4.1.25.287openalex-snapshot
Forecast, Solution, and Rolling Horizons in Operations Management Problems: A Classified Bibliography
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis
inferredcites →https://doi.org/10.1515/9783110212075openalex-snapshot
Stochastic Finance

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Beyond static risk aversion: online multi-period mean-variance portfolio optimization using hidden Markov chains
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The Impact of General Correlation Under Multi-Period Mean-Variance Asset-Liability Portfolio Management
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Survey on Multi-period Mean–Variance Portfolio Selection Model
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Mean–Variance optimization in discrete-time decision processes with general utility function
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Open-Loop Time-Consistent Solution for Equality Constrained Time-Inconsistent LQ Problem
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2019 Index IEEE Transactions on Automatic Control Vol. 64
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On the Analysis of Inexact Augmented Lagrangian Schemes for Misspecified Conic Convex Programs
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Limited Attention Allocation in a Stochastic Linear Quadratic System With Multiplicative Noise
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Optimization of Constrained Stochastic Linear-Quadratic Control on an Infinite Horizon: A Direct-Comparison Based Approach
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Constrained Dynamic Mean-Variance Portfolio Selection in Continuous-Time
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Dynamic Mean–Variance Portfolio Optimization with Value-at-Risk Constraint in Continuous Time
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