CONTINUOUS FEEDBACK CONTROL STRATEGY WITH MAXIMAL CAPTURE ZONE IN A CLASS OF PURSUIT GAMES

DOI10.1142/S0219198905000375zbMath1134.91336MaRDI QIDQ5694436

Vladimir Turetsky, Valery Y. Glizer

Publication date: 30 September 2005

Published in: International Game Theory Review (Search for Journal in Brave)

zbMATH Keywords

chatteringsaturationdifferential game of pursuitcontinuous feedback controlInterception problemmaximal capture zone

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Pursuit and evasion games (49N75) Positional games (pursuit and evasion, etc.) (91A24)

Related Items (12)

Capture zone of linear strategies in interception problems with variable structure dynamics ⋮ History-dependent modified sliding mode interception strategies with maximal capture zone ⋮ ROBUST SOLUTION OF A TIME-VARIABLE INTERCEPTION PROBLEM: A CHEAP CONTROL APPROACH ⋮ Pursuit problem of low-maneuverable objects with a ring-shape terminal set ⋮ Capture zones of linear feedback pursuer strategies ⋮ Distribution of the zero-effort miss distance estimation error in interception problems ⋮ Capture zones of cheap control interception strategies ⋮ On the inverse problem for robust capture zone construction ⋮ Feedback Stackelberg equilibrium strategies when the private label competes with the national brand ⋮ Euclidean space output controllability of singularly perturbed systems with small state delays ⋮ ON A PURSUIT PROBLEM UNDER RESISTANCE OF A MEDIUM ⋮ Computation of robust capture zones using interval-based viability techniques in presence of state uncertainties

Cites Work

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• Upper bounds of the pursuer control based on a linear-quadratic differential game
• Robust state-feedback controllability of linear systems to a hyperplane in a class of bounded controls
• Missile guidance laws based on pursuit-evasion game formulations.
• Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems
• Chattering avoidance by second-order sliding mode control
• Chattering analysis in sliding mode systems with inertial sensors

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