On Differential Pursuit Games
Copyright policy )On Differential Pursuit Games
The author discusses a uniform approach to problems of differential game theory, optimal control theory and stability theory. Notions for various purposes are introduced such as ``asymptotic stability'', ``stabilizability'' and ``controllability'' of control systems. One can interpret these properties as various versions of the stability property. Sufficient conditions for such properties are obtained with the help of the Lyapunov direct method. These conditions are extensions of some known results. In conclusion the author considers a linear problem with a subspace as the terminal set.
- The University of Texas at Austin United States
Controllability, Asymptotic stability in control theory, asymptotic stability, stabilizability, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, controllability, Attainable sets, reachability, Differential games (aspects of game theory), Lyapunov direct method, Positional games (pursuit and evasion, etc.)
Controllability, Asymptotic stability in control theory, asymptotic stability, stabilizability, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, controllability, Attainable sets, reachability, Differential games (aspects of game theory), Lyapunov direct method, Positional games (pursuit and evasion, etc.)
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