Necessary and sufficient conditions for feedback Nash equilibria for the affine-quadratic differential game
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Publication:353171
DOI10.1007/s10957-012-0188-1zbMath1268.91021OpenAlexW1508774740MaRDI QIDQ353171
Salmah, Jacob Christiaan Engwerda
Publication date: 12 July 2013
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-012-0188-1
Riccati equationssolvability conditionsaffine systemslinear-quadratic gamesopen-loop Nash equilibrium
Related Items (4)
Properties of feedback Nash equilibria in scalar LQ differential games ⋮ Stability of feedback solutions for infinite horizon noncooperative differential games ⋮ Learning feedback Nash strategies for nonlinear port-Hamiltonian systems ⋮ A numerical algorithm to calculate the unique feedback Nash equilibrium in a large scalar LQ differential game
Cites Work
- Unnamed Item
- Unnamed Item
- Robust equilibria in indefinite linear-quadratic differential games
- \(H_\infty\) control for nonlinear descriptor systems.
- Dynamic modelling of monetary and fiscal cooperation among nations
- Algorithms for computing Nash equilibria in deterministic LQ games
- Robust guaranteed cost control for uncertain stochastic systems with multiple decision makers
- Kronecker products and coupled matrix Riccati differential systems
- On the existence of Nash strategies and solutions to coupled Riccati equations in linear-quadratic games
- Asymptotic analysis of linear feedback Nash equilibria in nonzero-sum linear-quadratic differential games
- On the linear-quadratic closed-loop no-memory Nash game
- Integral equations. Theory and numerical treatment
- The (multi-player) linear quadratic state feedback control problem for index one descriptor systems
- A result on output feedback linear quadratic control
- Nonzero-sum differential games
- Series Nash solution of two-person, nonzero-sum, linear-quadratic differential games
- Optimal Control of Nonlinear Processes
- A Nash game approach to mixed H/sub 2//H/sub ∞/ control
- On global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games
- Solving the scalar feedback nash algebraic riccati equations: an eigenvector approach
- Equilibrium Feedback Control in Linear Games with Quadratic Costs
- \(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach.
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