Some results on sheaf-solutions of sheaf set control problems

DOI10.1016/J.NA.2006.07.018zbMath1113.49003OpenAlexW1978877829MaRDI QIDQ885304

Tran Thanh Tung, Nguyen Dinh Phu

Publication date: 8 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.07.018

zbMATH Keywords

control theoryset differential equationsset control differential equations

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Stability criteria for set control differential equations ⋮ On maximal and minimal solutions for set-valued differential equations with feedback control ⋮ Second type Hukuhara differentiable solutions to the delay set-valued differential equations ⋮ Interval-valued functional integro-differential equations ⋮ One time-optimal problem for a set-valued linear control system ⋮ Averaging of fuzzy integral equations ⋮ Interval Cauchy problem with a second type Hukuhara derivative ⋮ Existence of solutions for set differential equations involving causal operator with memory in Banach space ⋮ Stability of set differential equations and applications

Cites Work

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• Set differential equations versus fuzzy differential equations
• Stability criteria for set differential equations
• Nonlinear variation of parameters formula for set differential equations in a metric space
• Existence and interrelation between set and fuzzy differential equations.
• Uncertain systems and fuzzy differential equations
• Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations
• Interconnection between set and fuzzy differential equations

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