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The goal of the paper is to develop a straightforward constrained optimization concept to solve nonlinear control problems for time-varying continuous-time systems. To find the closed-loop solution of the constrained optimization problem, the Hamilton-Jacobi theory is used, and an innovative conceptual framework is researched applying a nonquadratic performance functional to synthesize the bounded control laws. Nonquadratic return functions are used to solve the Hamilton-Jacobi-Bellman partial differential equation. The method developed is demonstrated through illustrative examples.
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Sergey Edward Lyshevski (2002) studied this question.
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