Journal ArticleDOI
Optimal control for linear systems with multiple time delays in control input
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This note presents the optimal linear-quadratic (LQ) regulator for a linear system with multiple time delays in the control input and establishes a duality between the solutions of the optimal filtering problem for linear systems with multipleTime delay in the observations and the optimal LQ control problem forlinear systems with three time delays.Abstract:
This note presents the optimal linear-quadratic (LQ) regulator for a linear system with multiple time delays in the control input. Optimality of the solution is proved in two steps. First, a necessary optimality condition is derived from the maximum principle. Then, the sufficiency of this condition is established by verifying that it satisfies the Hamilton-Jacobi-Bellman equation. Using an illustrative example, the performance of the obtained optimal regulator is compared against the performance of the optimal LQ regulator for linear systems without delays and some other feasible feedback regulators that are linear in the state variables. Finally, the note establishes a duality between the solutions of the optimal filtering problem for linear systems with multiple time delays in the observations and the optimal LQ control problem for linear systems with multiple time delays in the control input.read more
Citations
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Journal ArticleDOI
A novel approach to output feedback control of fuzzy stochastic systems
TL;DR: This paper investigates the problem of Hankel-norm output feedback controller design for a class of T-S fuzzy stochastic systems and proposes the fuzzy-basis-dependent Lyapunov function approach and the conversion on theHankel- norm controller parameters.
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Sliding mode control of hybrid switched systems via an event-triggered mechanism
TL;DR: An event-triggered sliding mode control law is developed to drive the resultant closed-loop system trajectories into a bounded switched region and maintain them therein for subsequent periods.
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Carbon emission transfer strategies in supply chain with lag time of emission reduction technologies and low-carbon preference of consumers
Licheng Sun,Xiaoxiao Cao,Majed Alharthi,Jijian Zhang,Farhad Taghizadeh-Hesary,Muhammad Mohsin +5 more
TL;DR: In this paper, a Stackelberg differential game model (dominated by manufacturers) is constructed under both centralized and decentralized decisions to analyze the carbon emission transfer and emission reduction problem among enterprises within the supply chain, integrating the influence of government emission reduction policies and the low carbon market.
Journal ArticleDOI
Input–output finite-time mean square stabilization of nonlinear semi-Markovian jump systems
TL;DR: In this paper, the input-output finite-time mean square stabilization problem for a class of nonlinear semi-Markovian jump systems (SMJSs) with time-varying delay is considered.
Journal ArticleDOI
Event-triggered sliding mode control of nonlinear dynamic systems
TL;DR: The problem of sliding mode observer design is investigated for a class of repeated scalar nonlinear systems via dynamic event-triggered approach and an event- triggered controller is designed to ensure that the closed-loop system trajectories are restricted to the pre-specified sliding region.
References
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Dynamic Programming
TL;DR: The more the authors study the information processing aspects of the mind, the more perplexed and impressed they become, and it will be a very long time before they understand these processes sufficiently to reproduce them.
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Introduction to Functional Differential Equations
TL;DR: The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977 and attempts to maintain the spirit of that book and have retained approximately one-third of the material intact.
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Differential Equations with Discontinuous Righthand Sides
TL;DR: The kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics, algebraic geometry interacts with physics, and such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.
Journal ArticleDOI
What is dynamic programming
TL;DR: Sequence alignment methods often use something called a 'dynamic programming' algorithm, which can be a good idea or a bad idea, depending on the method used.
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Dynamic Noncooperative Game Theory
Tamer Basar,Geert Jan Olsder +1 more
TL;DR: In this paper, the authors present a general formulation of non-cooperative finite games: N-Person nonzero-sum games, Pursuit-Evasion games, and Stackelberg Equilibria of infinite dynamic games.